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Super Edge-Magic Labeling of Some Fan Graphs
Date Issued
January 1, 2017
Type
Conference Paper
Abstract
For a graph G(V, E) with p vertices and q edges, a bijective function f from V (G)?E(G) to {1, 2, ..., p+q} is called a super edge-magic labeling of G if f(V (G)) = {1, 2, ..., p} and there exists a constant k such that for any edge uv of G, f(u) + f(v) + f(uv) = k. A graph G is called super edge-magic if there exists a suber edge-magic labeling of G. In this paper, we shows that the fan graph Fn,2 and mFn,2 is a super edge-magic where n is a positive integer, m positive odd number and m ? 3.
Citation
Lecture Notes in Engineering and Computer Science, 2228, 987-988, 2017