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Vertex PI indices of four sums of graphs

机译:四个图的总和的顶点PI索引

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摘要

Suppose that e is an edge of a graph G. Denote by m_e(G) the number of vertices of G that are not equidistant from both ends of e. Then the vertex PI index of G is defined as the summation of m_e(G) over all edges e of G. In this paper we give the explicit expressions for the vertex PI indices of four sums of two graphs in terms of other indices of two individual graphs, which correct the main results in a paper published in Ars Combin. 98 (2011).
机译:假设e是图G的边。用m_e(G)表示与e的两端不等距的G的顶点数。然后将G的顶点PI索引定义为G的所有边e上的m_e(G)的总和。本文针对两个图的四个和的顶点PI索引给出了两个其他索引的显式表达式单独的图形,这些图形纠正了Ars Combin发表的论文中的主要结果。 98(2011)。

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