On -total edge product cordial labeling of honeycomb

For a graph , an edge labeling where is an integer, , induces a vertex labeling defined by , where are the edges incident to the vertex . The function is called a -total edge product cordial labeling of if for every , , where and are the number of edges and vertices with and , respectively. In this...

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Main Authors: Ali Ahmad, Martin Bača, Maria Naseem, Andrea Semaničová-Feňovčíková
Format: Article
Language:English
Published: Taylor & Francis Group 2017-08-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://dx.doi.org/10.1016/j.akcej.2017.02.002
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author Ali Ahmad
Martin Bača
Maria Naseem
Andrea Semaničová-Feňovčíková
author_facet Ali Ahmad
Martin Bača
Maria Naseem
Andrea Semaničová-Feňovčíková
author_sort Ali Ahmad
collection DOAJ
description For a graph , an edge labeling where is an integer, , induces a vertex labeling defined by , where are the edges incident to the vertex . The function is called a -total edge product cordial labeling of if for every , , where and are the number of edges and vertices with and , respectively. In this paper, we investigate the existence of -total edge product cordial labeling of hexagonal grid.
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spelling doaj.art-05c4535236bd4481bb746bf842ecd3b72022-12-21T22:41:19ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002017-08-0114214915710.1016/j.akcej.2017.02.00212092613On -total edge product cordial labeling of honeycombAli Ahmad0Martin Bača1Maria Naseem2Andrea Semaničová-Feňovčíková3College of Computer Science & Information Systems, Jazan UniversityDepartment of Applied Mathematics and Informatics, Technical UniversityAbdus Salam School of Mathematical Sciences, GC UniversityDepartment of Applied Mathematics and Informatics, Technical UniversityFor a graph , an edge labeling where is an integer, , induces a vertex labeling defined by , where are the edges incident to the vertex . The function is called a -total edge product cordial labeling of if for every , , where and are the number of edges and vertices with and , respectively. In this paper, we investigate the existence of -total edge product cordial labeling of hexagonal grid.http://dx.doi.org/10.1016/j.akcej.2017.02.002cordial labeling-total edge product cordial labelinghexagonal grid
spellingShingle Ali Ahmad
Martin Bača
Maria Naseem
Andrea Semaničová-Feňovčíková
On -total edge product cordial labeling of honeycomb
AKCE International Journal of Graphs and Combinatorics
cordial labeling
-total edge product cordial labeling
hexagonal grid
title On -total edge product cordial labeling of honeycomb
title_full On -total edge product cordial labeling of honeycomb
title_fullStr On -total edge product cordial labeling of honeycomb
title_full_unstemmed On -total edge product cordial labeling of honeycomb
title_short On -total edge product cordial labeling of honeycomb
title_sort on total edge product cordial labeling of honeycomb
topic cordial labeling
-total edge product cordial labeling
hexagonal grid
url http://dx.doi.org/10.1016/j.akcej.2017.02.002
work_keys_str_mv AT aliahmad ontotaledgeproductcordiallabelingofhoneycomb
AT martinbaca ontotaledgeproductcordiallabelingofhoneycomb
AT marianaseem ontotaledgeproductcordiallabelingofhoneycomb
AT andreasemanicovafenovcikova ontotaledgeproductcordiallabelingofhoneycomb