{"id":3194,"date":"2023-11-07T08:42:46","date_gmt":"2023-11-07T08:42:46","guid":{"rendered":"http:\/\/icmc2024.kalasalingam.ac.in\/?page_id=3194"},"modified":"2023-12-27T10:20:48","modified_gmt":"2023-12-27T10:20:48","slug":"bryan-freyberg","status":"publish","type":"page","link":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/bryan-freyberg\/","title":{"rendered":"Bryan Freyberg"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"3194\" class=\"elementor elementor-3194\">\n\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5bf55ea e-con-boxed e-con\" data-id=\"5bf55ea\" 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-3a5db8b e-con-full e-con\" data-id=\"3a5db8b\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-124c9ee elementor-widget elementor-widget-image\" data-id=\"124c9ee\" 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=\"206\" height=\"309\" src=\"http:\/\/icmc2024.kalasalingam.ac.in\/wp-content\/uploads\/2023\/04\/5-Bryan-Freyberg.jpg\" class=\"attachment-large size-large wp-image-2492\" alt=\"\" srcset=\"http:\/\/icmc2024.kalasalingam.ac.in\/wp-content\/uploads\/2023\/04\/5-Bryan-Freyberg.jpg 206w, http:\/\/icmc2024.kalasalingam.ac.in\/wp-content\/uploads\/2023\/04\/5-Bryan-Freyberg-200x300.jpg 200w\" sizes=\"auto, (max-width: 206px) 100vw, 206px\" \/>\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-8cd35d4 e-con-full e-con\" data-id=\"8cd35d4\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e57930f elementor-widget elementor-widget-heading\" data-id=\"e57930f\" 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\">Bryan Freyberg<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1f85f8e elementor-widget elementor-widget-heading\" data-id=\"1f85f8e\" 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\">University of Minnesota, 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-ba57d1d e-con-boxed e-con\" data-id=\"ba57d1d\" 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-704fda1 elementor-widget elementor-widget-heading\" data-id=\"704fda1\" 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\">On the Face-Magic Strength of Graphs<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f28150 elementor-widget elementor-widget-heading\" data-id=\"4f28150\" 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\">Bryan Freyberg, University of Minnesota Duluth, USA\nLet G be a graph with an embedding which induces a set of faces. A face-magic labeling of\nG is an assignment of consecutive integers to the vertices, edges, and faces of G so that for\nevery n-sided face, the sum of its label and the labels of the vertices and edges surrounding it\nis equal to some fixed constant \u00b5(n) for all n. If such a labeling exists, we call G a face-magic\ngraph and the \u00b5(n) are called its n-sided magic constants.\nGiven a face-magic graph G, we ask: What is the spectrum for the n-sided magic constants?\nWe explore this question for wheels, fans, the Cartesian product of two cycles, and the\ntoroidal tiling of hexagons.\nKeywords: type (a, b, c) face-magic graph labeling, wheels, fans, Cartesian product of cycles,\nhexagonal tiling<\/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\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Bryan Freyberg University of Minnesota, USA On the Face-Magic Strength of Graphs Bryan Freyberg, University of Minnesota Duluth, USA Let G be a graph with an embedding which induces a set of faces. A face-magic labeling of G is an assignment of consecutive integers to the vertices, edges, and faces of G so that for &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/bryan-freyberg\/\"> <span class=\"screen-reader-text\">Bryan Freyberg<\/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-3194","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/3194","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=3194"}],"version-history":[{"count":7,"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/3194\/revisions"}],"predecessor-version":[{"id":3584,"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/3194\/revisions\/3584"}],"wp:attachment":[{"href":"http:\/\/icmc2024.kalasalingam.ac.in\/index.php\/wp-json\/wp\/v2\/media?parent=3194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}