{"id":3196,"date":"2023-11-07T08:42:46","date_gmt":"2023-11-07T08:42:46","guid":{"rendered":"http:\/\/icmc2024.kalasalingam.ac.in\/?page_id=3196"},"modified":"2023-11-07T10:03:38","modified_gmt":"2023-11-07T10:03:38","slug":"sepanski-mark","status":"publish","type":"page","link":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/sepanski-mark\/","title":{"rendered":"Sepanski, Mark"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"3196\" class=\"elementor elementor-3196\">\n\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1ca5207 e-con-boxed e-con\" data-id=\"1ca5207\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-5d98d71 e-con-full e-con\" data-id=\"5d98d71\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7cfab47 elementor-widget elementor-widget-image\" data-id=\"7cfab47\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.9.2 - 21-12-2022 *\/\n.elementor-widget-image{text-align:center}.elementor-widget-image a{display:inline-block}.elementor-widget-image a img[src$=\".svg\"]{width:48px}.elementor-widget-image img{vertical-align:middle;display:inline-block}<\/style>\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"300\" src=\"http:\/\/icmc2024.kalasalingam.ac.in\/wp-content\/uploads\/2023\/05\/400436.jpg\" class=\"attachment-large size-large wp-image-2812\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-bcecd73 e-con-full e-con\" data-id=\"bcecd73\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-204b47c elementor-widget elementor-widget-heading\" data-id=\"204b47c\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.9.2 - 21-12-2022 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">Mark Sepanski<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-936a7e1 elementor-widget elementor-widget-heading\" data-id=\"936a7e1\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Baylor University, Waco, Texas, USA<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-3b72b15 e-con-boxed e-con\" data-id=\"3b72b15\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-d6d691e e-con-boxed e-con\" data-id=\"d6d691e\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-dec5eae elementor-widget elementor-widget-heading\" data-id=\"dec5eae\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">Topic:\nLabelings in graph theory<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3a454de elementor-widget elementor-widget-heading\" data-id=\"3a454de\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Klein Cordial Trees and Odd Cyclic Cordial Friendship Graphs<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9e1f18e elementor-widget elementor-widget-heading\" data-id=\"9e1f18e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<p class=\"elementor-heading-title elementor-size-default\">For a graph $G$ and an abelian group $A$, a labeling of the vertices of $G$\ninduces a labeling of the edges via the sum of adjacent vertex labels. Hovey\nintroduced the notion of an $A$-cordial vertex labeling when both the vertex\nand edge labels are as evenly distributed as possible. Much work has since\nbeen done with trees, hypertrees, paths, cycles, ladders, prisms, hypercubes,\nand bipartite graphs. In this paper we show that all trees are\n$\\mathbb{Z}_2^2$-cordial except for $P_4$ and $P_5$. In addition, we give\nnumerous results relating to $\\mathbb{Z}_m$-cordiality of the friendship graph\n$F_n$. The most general result shows that when $m$ is an odd multiple of\n$3$, then $F_n$ is $\\mathbb{Z}_m$-cordial for all $n$. We also give a\ngeneral conjecture to determine when $F_n$ is $\\mathbb{Z}_m$-cordial.<\/p>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Mark Sepanski Baylor University, Waco, Texas, USA Topic: Labelings in graph theory Klein Cordial Trees and Odd Cyclic Cordial Friendship Graphs For a graph $G$ and an abelian group $A$, a labeling of the vertices of $G$ induces a labeling of the edges via the sum of adjacent vertex labels. Hovey introduced the notion of &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/sepanski-mark\/\"> <span class=\"screen-reader-text\">Sepanski, Mark<\/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":{"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","footnotes":""},"class_list":["post-3196","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/3196","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/comments?post=3196"}],"version-history":[{"count":4,"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/3196\/revisions"}],"predecessor-version":[{"id":3255,"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/3196\/revisions\/3255"}],"wp:attachment":[{"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/media?parent=3196"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}