A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books

A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books

A graph G is called cycle books B4,m,2 if G consists of m cycles C4 with a common path P2. Figueroa-Centeno, Ichishima, and Muntaner-Batle conjecture that the graph B4,m,2 is super edge-magic total if and only if m is even or m≡5 mod8. In this article, we prove this conjecture for m ≥ 36 and m  = 0...

Full description

Bibliographic Details
Main Authors: Mudin Simanihuruk, Tri Atmojo Kusmayadi, Baki Swita, Minsi Romala, Friska Damanik
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2021/8483926
id doaj-becbc5e1069a45a4afcb61f2aa8ec8d4
record_format Article
spelling doaj-becbc5e1069a45a4afcb61f2aa8ec8d42021-08-23T01:32:21ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences1687-04252021-01-01202110.1155/2021/8483926A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle BooksMudin Simanihuruk0Tri Atmojo Kusmayadi1Baki Swita2Minsi Romala3Friska Damanik4Mathematics DepartmentMathematics DepartmentMathematics DepartmentMathematics DepartmentMathematics DepartmentA graph G is called cycle books B4,m,2 if G consists of m cycles C4 with a common path P2. Figueroa-Centeno, Ichishima, and Muntaner-Batle conjecture that the graph B4,m,2 is super edge-magic total if and only if m is even or m≡5 mod8. In this article, we prove this conjecture for m ≥ 36 and m  = 0 mod (2).http://dx.doi.org/10.1155/2021/8483926
collection DOAJ
language English
format Article
sources DOAJ
author Mudin Simanihuruk
Tri Atmojo Kusmayadi
Baki Swita
Minsi Romala
Friska Damanik
spellingShingle Mudin Simanihuruk
Tri Atmojo Kusmayadi
Baki Swita
Minsi Romala
Friska Damanik
A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books
International Journal of Mathematics and Mathematical Sciences
author_facet Mudin Simanihuruk
Tri Atmojo Kusmayadi
Baki Swita
Minsi Romala
Friska Damanik
author_sort Mudin Simanihuruk
title A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books
title_short A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books
title_full A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books
title_fullStr A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books
title_full_unstemmed A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books
title_sort conjecture on super edge-magic total labeling of 4-cycle books
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 1687-0425
publishDate 2021-01-01
description A graph G is called cycle books B4,m,2 if G consists of m cycles C4 with a common path P2. Figueroa-Centeno, Ichishima, and Muntaner-Batle conjecture that the graph B4,m,2 is super edge-magic total if and only if m is even or m≡5 mod8. In this article, we prove this conjecture for m ≥ 36 and m  = 0 mod (2).
url http://dx.doi.org/10.1155/2021/8483926
work_keys_str_mv AT mudinsimanihuruk aconjectureonsuperedgemagictotallabelingof4cyclebooks
AT triatmojokusmayadi aconjectureonsuperedgemagictotallabelingof4cyclebooks
AT bakiswita aconjectureonsuperedgemagictotallabelingof4cyclebooks
AT minsiromala aconjectureonsuperedgemagictotallabelingof4cyclebooks
AT friskadamanik aconjectureonsuperedgemagictotallabelingof4cyclebooks
AT mudinsimanihuruk conjectureonsuperedgemagictotallabelingof4cyclebooks
AT triatmojokusmayadi conjectureonsuperedgemagictotallabelingof4cyclebooks
AT bakiswita conjectureonsuperedgemagictotallabelingof4cyclebooks
AT minsiromala conjectureonsuperedgemagictotallabelingof4cyclebooks
AT friskadamanik conjectureonsuperedgemagictotallabelingof4cyclebooks
_version_ 1721199048188231680

Similar Items