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Retarded regular graphs are regular or semiregular

机译:延迟正则图是正则图或半正则图

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摘要

A graph G is said to be retarded regular if there is a positive integral number s such that the number of walks of length s starting at vertices of G is a constant function. Regular and semiregular graphs are retarded regular with s=1 and s <= 2, respectively. We prove that any retarded regular connected graph is either regular or semiregular.
机译:如果存在正整数数s,则图G被认为是规则延迟的,以使得从G的顶点开始的长度s的走动次数是一个常数函数。规则图和半规则图的延迟规则分别为s = 1和s <= 2。我们证明任何延迟的正则连通图都是正则或半正则的。

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