"Edge Trimagic Graceful Labeling of Degree Splitting Graphs"

Authors

J. A. Jose Ezhil & T. Shyla Isac Mary (Assistant Professor)
Nesamony Memorial Christian College, Marthandam – 629165, Kanyakumari District, Tamil Nadu, India.

M. Regees (Assistant Professor)
Malankara Catholic College, Mariagiri, Kaliakavilai – 629153, Tamilnadu, India.

Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli – 627 012, Tamil Nadu, India.

Abstract

A (p, q) graph G is called an edge trimagic graceful if there exists a bijection : V(G) ∪ E(G) → {1, 2, 3, …, p + q} such that for each edge xy in E(G), | (x) – (xy) + (y)| = 1 or 2or3, where c1, c2 and are constants. In this paper, we proved some of the degree splitting graphs are edge trimagic graceful graphs.