International Journal of Engineering and Management Research (IJEMR)
  • Year: 2016
  • Volume: 6
  • Issue: 3

Q(a)-Balance Edge Magic of Sun family Graphs

  • Author:
  • S. Vimala1, R. Prabavathi2
  • Total Page Count: 7
  • Page Number: 143 to 149

1Assistant Professor, Department of Mathematics, Mother Teresa Women's University, Kodaikanal, Tamilnadu, India

2Research Scholar, Department of Mathematics, Mother Teresa Women's University, Kodaikanal, Tamilnadu, India

Online published on 24 October, 2017.

Abstract

Let G be (p, q)-graph in which the edges are labeled 1, 2, 3, 4, …q so that the vertex sums are constant, mod p, then G is called an Edge magic graph. A (p, q)-graph G in which the edges are labeled by Q(a) so that vertex sums mod p is constant, is called Q(a) Balance Edge-Magic Graph(BEM), which is introduced about Q(a)-BEM[12]. This article extends and discussed Q(a) Balance Edge Magic graphs of Sun family graphs, Haar graph, cubical graph, flower graph.

Keywords

Cubical graph, flower graph, haar graph, labeling, sun graph, raising sun graph, Q(a)-BEM