New Constructions of Edge Bimagic Graphs from Magic Graphs

Jayapal Baskar Babujee, Babitha Suresh

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DOI: 10.4236/am.2011.211197                

Abstract

An edge magic total labeling of a graph G(V,E) with p vertices and q edges is a bijection f from the set of vertices and edges to such that for every edge uv in E, f(u) + f(uv) + f(v) is a constant k. If there exist two constants k₁ and k₂ such that the above sum is either k₁ or k₂, it is said to be an edge bimagic total labeling. A total edge magic (edge bimagic) graph is called a super edge magic (super edge bimagic) if f(V(G)) = . In this paper we define super edge edge-magic labeling and exhibit some interesting constructions related to Edge bimagic total labeling.

Keywords

Graph, Labeling, Magic Labeling, Bimagic Labeling, Function

Conflicts of Interest

The authors declare no conflicts of interest.

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