Broader families of cordial graphs

Christian Barrientos, S. Minion
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Abstract

A binary labeling of the vertices of a graph G is cordial if the number of vertices labeled 0 and the number of vertices labeled 1 differ by at most 1, and the number of edges of weight 0 and the number of edges of weight 1 differ by at most 1. In this paper we present general results involving the cordiality of graphs that results of some well-known operations such as the join, the corona, the one-point union, the splitting graph, and the super subdivision. In addition we show a family of cordial circulant graphs.
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如果标记为0的顶点数与标记为1的顶点数相差不超过1,并且权重为0的边数与权重为1的边数相差不超过1,则对图G的顶点进行二值标记是诚恳的。本文给出了图的连接、电晕、一点并、分裂图和超细分等著名运算的结果。此外,我们还给出了一类诚恳循环图。
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