New Constructions of Edge Bimagic Graphs from Magic Graphs

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DOI: 10.4236/am.2011.211197    5,564 Downloads   10,538 Views  Citations

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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.

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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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