Evolution Operator of the Bipartite Orbit of Graphs
Eduardo A. Montenegro, Eduardo M. Cabrera A, Jose A. Gonzalez C, Ronald A. Manrquez P
Journal of Advances in Mathematics and Computer Science · pp. 1–7 · Published 6 Sep 2015
10.9734/BJMCS/2015/19677Abstract
The operation of substitution consists of replacing a vertex of a graph by another graph. This new graph is characterized through a function (of substitution) that can be self-definable. The purpose of this work is to construct evolution operators for orbit {wk(G)}, where each element of {wk(G)} is obtained by substituting each vertex of the previous element by a graph. Here, both the initial graph G as the family of graphs of substitution, are known. In this paper, simple and finite graphs will be used, framed in the graphs theory’s area.
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