IJPAM: Volume 120, No. 3 (2018)

Title

EDGE TRIMAGIC TOTAL LABELINGS OF
SOME SHADOW AND SPLITTING GRAPHS

Authors

C. Jayasekaran$^1$, J. Little Flower$^2$
$^1$Department of Mathematics
Pioneer Kumaraswamy College
Nagercoil, 629 003, Tamilnadu, INDIA
$^2$Department of Mathematics
Arignar Anna College
Aralvaimozhi, 629 301, Tamilnadu, INDIA

Abstract

An edge trimagic total labeling of a graph $G = (V, E)$ with $p$ vertices and $q$ edges is a bijection $f: V(G)\cup E(G) \rightarrow \{1, 2, \ldots, p + q\}$ such that for each edge $uv \in E(G)$, the value of $f(u)+f(uv)+f(v)$ is either $k_1$ or $k_2$ or $k_3$. In this paper, we find the edge trimagic total labeling of some shadow and splitting graphs.

History

Received: February 20, 2017
Revised: October 29, 2018
Published: October 30, 2018

AMS Classification, Key Words

AMS Subject Classification: 05C50, 05C25
Key Words and Phrases: graph, bijective function, shadow graphs, splitting graphs, trimagic total labeling

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v120i3.2 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 120
Issue: 3
Pages: 303 - 313


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