Face antimagic labelings of toroidal and Klein bottle grid graphs
In this paper we deal with the problem of labeling the vertices, edges and faces of a toroidal and Klein bottle grid graphs with 4-sided faces by the consecutive integers from 1 up to + + and + + in such a way that the label of a 4-sided face and the labels of the vertices and edges surrounding that...
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2020-01-01
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Online Access: | http://dx.doi.org/10.1016/j.akcej.2018.09.005 |
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doaj-8a5c414a6b7e4e51af3b58ad0aef08562020-12-17T17:28:37ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002543-34742020-01-0117110911710.1016/j.akcej.2018.09.0051758490Face antimagic labelings of toroidal and Klein bottle grid graphsSaad Ihsan Butt0Muhammad Numan1Sharafat Ali2Andrea Semaničová-Feňovčíková3Department of Mathematics. COMSATS University IslamabadDepartment of Mathematics. COMSATS University IslamabadDepartment of Mathematics. COMSATS University IslamabadDepartment of Appl. Mathematics and Informatics, Technical UniversityIn this paper we deal with the problem of labeling the vertices, edges and faces of a toroidal and Klein bottle grid graphs with 4-sided faces by the consecutive integers from 1 up to + + and + + in such a way that the label of a 4-sided face and the labels of the vertices and edges surrounding that face all together add up to a weight of that face. These face-weights then form an arithmetic progression with common difference . The paper examines the existence of such labelings for several differences .http://dx.doi.org/10.1016/j.akcej.2018.09.005toroidal gridklein bottle gridsuper -antimagic labeling |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Saad Ihsan Butt Muhammad Numan Sharafat Ali Andrea Semaničová-Feňovčíková |
spellingShingle |
Saad Ihsan Butt Muhammad Numan Sharafat Ali Andrea Semaničová-Feňovčíková Face antimagic labelings of toroidal and Klein bottle grid graphs AKCE International Journal of Graphs and Combinatorics toroidal grid klein bottle grid super -antimagic labeling |
author_facet |
Saad Ihsan Butt Muhammad Numan Sharafat Ali Andrea Semaničová-Feňovčíková |
author_sort |
Saad Ihsan Butt |
title |
Face antimagic labelings of toroidal and Klein bottle grid graphs |
title_short |
Face antimagic labelings of toroidal and Klein bottle grid graphs |
title_full |
Face antimagic labelings of toroidal and Klein bottle grid graphs |
title_fullStr |
Face antimagic labelings of toroidal and Klein bottle grid graphs |
title_full_unstemmed |
Face antimagic labelings of toroidal and Klein bottle grid graphs |
title_sort |
face antimagic labelings of toroidal and klein bottle grid graphs |
publisher |
Taylor & Francis Group |
series |
AKCE International Journal of Graphs and Combinatorics |
issn |
0972-8600 2543-3474 |
publishDate |
2020-01-01 |
description |
In this paper we deal with the problem of labeling the vertices, edges and faces of a toroidal and Klein bottle grid graphs with 4-sided faces by the consecutive integers from 1 up to + + and + + in such a way that the label of a 4-sided face and the labels of the vertices and edges surrounding that face all together add up to a weight of that face. These face-weights then form an arithmetic progression with common difference . The paper examines the existence of such labelings for several differences . |
topic |
toroidal grid klein bottle grid super -antimagic labeling |
url |
http://dx.doi.org/10.1016/j.akcej.2018.09.005 |
work_keys_str_mv |
AT saadihsanbutt faceantimagiclabelingsoftoroidalandkleinbottlegridgraphs AT muhammadnuman faceantimagiclabelingsoftoroidalandkleinbottlegridgraphs AT sharafatali faceantimagiclabelingsoftoroidalandkleinbottlegridgraphs AT andreasemanicovafenovcikova faceantimagiclabelingsoftoroidalandkleinbottlegridgraphs |
_version_ |
1724379134317035520 |