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New Constructions of Edge Bimagic Graphs from Magic Graphs

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DOI: 10.4236/am.2011.211197    4,717 Downloads   8,953 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

J. Babujee and B. Suresh, "New Constructions of Edge Bimagic Graphs from Magic Graphs," Applied Mathematics, Vol. 2 No. 11, 2011, pp. 1393-1396. doi: 10.4236/am.2011.211197.

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