{"id":647,"date":"2021-02-04T11:23:52","date_gmt":"2021-02-04T11:23:52","guid":{"rendered":"https:\/\/casm.lums.edu.pk\/?page_id=647"},"modified":"2021-02-04T12:03:14","modified_gmt":"2021-02-04T12:03:14","slug":"researchgroups","status":"publish","type":"page","link":"https:\/\/casm.lums.edu.pk\/index.php\/researchgroups\/","title":{"rendered":"Research Groups"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"647\" class=\"elementor elementor-647\" data-elementor-settings=\"[]\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6ccdc95 elementor-section-content-middle elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6ccdc95\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4f6adc0\" data-id=\"4f6adc0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-179c706 animated-slow elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"179c706\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInRight&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Research Groups<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6edde91b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6edde91b\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5dbfb326\" data-id=\"5dbfb326\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-7895c1c4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7895c1c4\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-47c0be9f\" data-id=\"47c0be9f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-608a39a9 elementor-widget elementor-widget-elementskit-heading\" data-id=\"608a39a9\" data-element_type=\"widget\" data-widget_type=\"elementskit-heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"ekit-wid-con\" ><div class=\"ekit-heading elementskit-section-title-wraper text_center   ekit_heading_tablet-   ekit_heading_mobile-\"><h2 class=\"ekit-heading--title elementskit-section-title \">\r\n\t\t\t\t\tGraph Theory and Combinatorics\r\n\t\t\t\t<\/h2><div class=\"ekit_heading_separetor_wraper ekit_heading_elementskit-border-divider\"><div class=\"elementskit-border-divider\"><\/div><\/div><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-211a373f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"211a373f\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-5de6315c\" data-id=\"5de6315c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ccf16fc elementor-position-left elementor-view-default elementor-vertical-align-top elementor-widget elementor-widget-icon-box\" data-id=\"ccf16fc\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span class=\"elementor-icon elementor-animation-\" >\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-star\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\t\t\t\t<h3 class=\"elementor-icon-box-title\">\n\t\t\t\t\t<span >Degree Sequences for Inner Dual Graphs of Hexagonal Systems<\/span>\n\t\t\t\t<\/h3>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-14ca5603 elementor-widget elementor-widget-text-editor\" data-id=\"14ca5603\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\"><ul><li>F. M. Bhatti (<a href=\"mailto:fmbhatti@lums.edu.pk\">fmbhatti@lums.edu.pk<\/a>)<\/li><li>Abu Bakar Muhammad(LUMS)<\/li><li>Shaheen Nazir(LUMS)<\/li><li>Khawaja Muhammad Fahd(PhD Scholar)<\/li><li>Ahmed Umar Ashraf<\/li><li>Hasan Baloch<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-38ebbda2\" data-id=\"38ebbda2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-48a52ea3 elementor-position-left elementor-view-default elementor-vertical-align-top elementor-widget elementor-widget-icon-box\" data-id=\"48a52ea3\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span class=\"elementor-icon elementor-animation-\" >\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-star\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\t\t\t\t<h3 class=\"elementor-icon-box-title\">\n\t\t\t\t\t<span >Fermi and Bose Walks and application of Young Tableaux for Planar Graph<\/span>\n\t\t\t\t<\/h3>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8b35c9a elementor-widget elementor-widget-text-editor\" data-id=\"8b35c9a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\"><ul><li>D. K. Arrowsmith (University of London)<\/li><li>J. W. Essam (University of London)<\/li><li>F. M. Bhatti (LUMS)<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-71644ffb\" data-id=\"71644ffb\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5a6ba7bd elementor-position-left elementor-view-default elementor-vertical-align-top elementor-widget elementor-widget-icon-box\" data-id=\"5a6ba7bd\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span class=\"elementor-icon elementor-animation-\" >\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-star\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\t\t\t\t<h3 class=\"elementor-icon-box-title\">\n\t\t\t\t\t<span >Book, Combinatorics for Enumerative Mathematics<\/span>\n\t\t\t\t<\/h3>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-50d485d8 elementor-widget elementor-widget-text-editor\" data-id=\"50d485d8\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\"><ul><li>F. M. Bhatti (<a href=\"mailto:fmbhatti@lums.edu.pk\">fmbhatti@lums.edu.pk<\/a>)<\/li><li>Jin Ho Kwak (POSTECH, Republic of Korea)<\/li><li>Yen Wong (Yantai University, China)<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a002b18 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a002b18\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-066af6c\" data-id=\"066af6c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-9a105f9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9a105f9\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-fededcf\" data-id=\"fededcf\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a170748 elementor-widget elementor-widget-elementskit-heading\" data-id=\"a170748\" data-element_type=\"widget\" data-widget_type=\"elementskit-heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"ekit-wid-con\" ><div class=\"ekit-heading elementskit-section-title-wraper text_center   ekit_heading_tablet-   ekit_heading_mobile-\"><h2 class=\"ekit-heading--title elementskit-section-title \">\r\n\t\t\t\t\tComputational Mathematical Group\r\n\t\t\t\t<\/h2><div class=\"ekit_heading_separetor_wraper ekit_heading_elementskit-border-divider\"><div class=\"elementskit-border-divider\"><\/div><\/div><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-26cb9a2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"26cb9a2\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-70572c4\" data-id=\"70572c4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7501c96 elementor-position-left elementor-vertical-align-middle elementor-view-default elementor-widget elementor-widget-icon-box\" data-id=\"7501c96\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span class=\"elementor-icon elementor-animation-\" >\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-star\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\t\t\t\t<h3 class=\"elementor-icon-box-title\">\n\t\t\t\t\t<span >Applications of Sobolev gradients to simulations and numerics<\/span>\n\t\t\t\t<\/h3>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3cbac3a elementor-widget elementor-widget-text-editor\" data-id=\"3cbac3a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\"><p>Principal Investigator: Sultan Sial (<a href=\"mailto:sultans@lums.edu.pk\">sultans@lums.edu.pk<\/a>)<\/p><p>Co-investigators:<\/p><ul><li>Adnan Khan(LUMS)<\/li><li>Nauman Raza(UET)<\/li><li>Wafa Veljee<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-c56593c\" data-id=\"c56593c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-4517a28 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4517a28\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-253e6a5\" data-id=\"253e6a5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-261f815 elementor-widget elementor-widget-elementskit-heading\" data-id=\"261f815\" data-element_type=\"widget\" data-widget_type=\"elementskit-heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"ekit-wid-con\" ><div class=\"ekit-heading elementskit-section-title-wraper text_center   ekit_heading_tablet-   ekit_heading_mobile-\"><h2 class=\"ekit-heading--title elementskit-section-title \">\r\n\t\t\t\t\tMathematical Biology\r\n\t\t\t\t<\/h2><div class=\"ekit_heading_separetor_wraper ekit_heading_elementskit-border-divider\"><div class=\"elementskit-border-divider\"><\/div><\/div><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-2967bcc elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2967bcc\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-a6772fc\" data-id=\"a6772fc\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1753553 elementor-widget elementor-widget-text-editor\" data-id=\"1753553\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\"><ul><li>Adnan Khan (<a href=\"mailto:adnan.khan@lums.edu.pk\">adnan.khan@lums.edu.pk<\/a>)<\/li><li>Muhammad Durr-e-Ahmed(LUMS)<\/li><li>Mudassar Imran(LUMS)<\/li><li>Sultan Sial(LUMS)<\/li><li>Aziz Mithani<\/li><li>Kamran Haider<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-136cd4d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"136cd4d\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-73e712e\" data-id=\"73e712e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-e8cc0e3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e8cc0e3\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-23e9637\" data-id=\"23e9637\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ddeca03 elementor-widget elementor-widget-elementskit-heading\" data-id=\"ddeca03\" data-element_type=\"widget\" data-widget_type=\"elementskit-heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"ekit-wid-con\" ><div class=\"ekit-heading elementskit-section-title-wraper center   ekit_heading_tablet-   ekit_heading_mobile-\"><h2 class=\"ekit-heading--title elementskit-section-title \">\r\n\t\t\t\t\tLie group analysis and Differential equations\r\n\t\t\t\t<\/h2><div class=\"ekit_heading_separetor_wraper ekit_heading_elementskit-border-divider\"><div class=\"elementskit-border-divider\"><\/div><\/div><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-629535b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"629535b\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-553c5c1\" data-id=\"553c5c1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d25def8 elementor-widget elementor-widget-text-editor\" data-id=\"d25def8\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\"><p>Principal Investigator: Imran Naeem (<a href=\"mailto:imran.naeem@lums.edu.pk\">imran.naeem@lums.edu.pk<\/a>)<\/p><ul><li>Mudassar Imran ( LUMS)<\/li><li>Rehana Naz ( Lahore School of Economics)<\/li><li>Muhammad Danish Khan (PhD scholar LUMS)<\/li><li>Zulfiqar Ali (PhD scholar FAST, Lahore)<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-bf8549c\" data-id=\"bf8549c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-5ec8dce elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5ec8dce\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-fc58e50\" data-id=\"fc58e50\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-312a619 elementor-widget elementor-widget-elementskit-heading\" data-id=\"312a619\" data-element_type=\"widget\" data-widget_type=\"elementskit-heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"ekit-wid-con\" ><div class=\"ekit-heading elementskit-section-title-wraper center   ekit_heading_tablet-   ekit_heading_mobile-\"><h2 class=\"ekit-heading--title elementskit-section-title \">\r\n\t\t\t\t\tFunctional Analysis and optimization Theory\r\n\t\t\t\t<\/h2><div class=\"ekit_heading_separetor_wraper ekit_heading_elementskit-border-divider\"><div class=\"elementskit-border-divider\"><\/div><\/div><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-afa06d7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"afa06d7\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-8e78752\" data-id=\"8e78752\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-291a789 elementor-widget elementor-widget-text-editor\" data-id=\"291a789\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\"><p>Principal Investigator: Mujahid Abbas (<a href=\"mailto:mujahid@lums.edu.pk\">mujahid@lums.edu.pk<\/a>)<\/p><ul><li>Talat Nazir (PhD Scholar LUMS)<\/li><li>Sartaj Ali (PhD Scholar NCBA)<\/li><li>Basit Ali (PhD Scholar LUMS)<\/li><li>Stefan Shahzad (M. Phil Scholar NCBA)<\/li><li>Imran Cheema (PhD Scholar COMSATS)<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0c98ce5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0c98ce5\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-235c647\" data-id=\"235c647\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-252e040 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"252e040\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-cbda85a\" data-id=\"cbda85a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-aa6ee99 elementor-widget elementor-widget-elementskit-heading\" data-id=\"aa6ee99\" data-element_type=\"widget\" data-widget_type=\"elementskit-heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"ekit-wid-con\" ><div class=\"ekit-heading elementskit-section-title-wraper center   ekit_heading_tablet-   ekit_heading_mobile-\"><h2 class=\"ekit-heading--title elementskit-section-title \">\r\n\t\t\t\t\tOperator Algebras\r\n\t\t\t\t<\/h2><div class=\"ekit_heading_separetor_wraper ekit_heading_elementskit-border-divider\"><div class=\"elementskit-border-divider\"><\/div><\/div><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-948652a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"948652a\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-c24c106\" data-id=\"c24c106\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5654586 elementor-widget elementor-widget-text-editor\" data-id=\"5654586\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\"><p>Principal Investigator: Masood H. Shah (<a href=\"mailto:mshah@lums.edu.pk\">mshah@lums.edu.pk<\/a>)<\/p><ul><li>Robert Archbold (Univ of Aberden, UK)<\/li><li>A.R.Khan (KFUPM , Saudi Arab)<\/li><li>Nawab Hussain (KAU, Saudi Arab)<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-ce1c922\" data-id=\"ce1c922\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-bd65e15 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"bd65e15\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-d47432f\" data-id=\"d47432f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c66d5b7 elementor-widget elementor-widget-elementskit-heading\" data-id=\"c66d5b7\" data-element_type=\"widget\" data-widget_type=\"elementskit-heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"ekit-wid-con\" ><div class=\"ekit-heading elementskit-section-title-wraper center   ekit_heading_tablet-   ekit_heading_mobile-\"><h2 class=\"ekit-heading--title elementskit-section-title \">\r\n\t\t\t\t\tApproximation theory\r\n\t\t\t\t<\/h2><div class=\"ekit_heading_separetor_wraper ekit_heading_elementskit-border-divider\"><div class=\"elementskit-border-divider\"><\/div><\/div><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-09d1745 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"09d1745\" data-element_type=\"section\" data-settings=\"{&quot;ekit_has_onepagescroll_dot&quot;:&quot;yes&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-8440de5\" data-id=\"8440de5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-487e53a elementor-widget elementor-widget-text-editor\" data-id=\"487e53a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\"><p>Principal Investigator: Masood H. Shah (<a href=\"mailto:mshah@lums.edu.pk\">mshah@lums.edu.pk<\/a>)<\/p><ul><li>Robert Archbold (Univ of Aberden, UK)<\/li><li>A.R.Khan (KFUPM , Saudi Arab)<\/li><li>Nawab Hussain (KAU, Saudi Arab)<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Research Groups Graph Theory and Combinatorics Degree Sequences for Inner Dual Graphs of Hexagonal Systems F. M. Bhatti (fmbhatti@lums.edu.pk) Abu Bakar Muhammad(LUMS) Shaheen Nazir(LUMS) Khawaja Muhammad Fahd(PhD Scholar) Ahmed Umar Ashraf Hasan Baloch Fermi and Bose Walks and application of Young Tableaux for Planar Graph D. K. Arrowsmith (University of London) J. W. Essam (University &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/casm.lums.edu.pk\/index.php\/researchgroups\/\"> <span class=\"screen-reader-text\">Research Groups<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/pages\/647"}],"collection":[{"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/comments?post=647"}],"version-history":[{"count":4,"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/pages\/647\/revisions"}],"predecessor-version":[{"id":652,"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/pages\/647\/revisions\/652"}],"wp:attachment":[{"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/media?parent=647"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}