Totally antimagic total labeling of ladders, prisms and generalised Petersen graphs

被引：0

作者：

Akwu, Abolape Deborah ^{[1
]}

Ajayi, Deborah Olayide A. ^{[2
]}

机构：

[1] Fed Univ Agr, Dept Math, Makurdi, Nigeria

[2] Univ Ibadan, Dept Math, Ibadan, Nigeria

来源：

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2024年 / 27卷 / 01期

关键词：

Graph labeling; Ladders; Chain graphs; Prisms and generalised petersen graph;

D O I：

10.47974/JDMSC-1229

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A total labeling is called edge-antimagic total (vertex-antimagic total) if all edge-weights (vertex-weights) are pairwise distinct. If a labeling is simultaneously edge-antimagic total and vertex-antimagic total, it is called a totally antimagic total labeling. A graph that admits totally antimagic total labeling is called a totally antimagic total graph. In this paper, we prove that ladders, prisms and generalised Pertersen graphs are totally antimagic total graphs. We also show that the chain graph of totally antimagic total graphs is a totally antimagic total graphs.

引用

页码：31 / 44

页数：14

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