从图到多项式环：图的星形多项式表示

IF 0.3 Q4 MATHEMATICS Advances and Applications in Discrete Mathematics Pub Date : 2023-01-28 DOI:10.17654/0974165823012

Rosalio G. Artes, N. H. M. Mohammad, Amy A. Laja, Nur-Hariza M. Hassan

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引用次数: 0

摘要

设G是一个简单连通图。V(G)的一个i子集是基数i的V(G)的一个子集。G的一个引生i星是由V(G)的一个i子集引生的G中的一个星。G的星形多项式表示是G中诱导i-星数序列的生成函数。本文建立了星形图、蜘蛛图、完全二部图和完全q-部图等特殊图的星形多项式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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FROM GRAPHS TO POLYNOMIAL RINGS: STAR POLYNOMIAL REPRESENTATION OF GRAPHS

Let G be a simple connected graph. An i-subset of V(G) is a subset of V(G) of cardinality i. An induced i-star of G is a star in G induced by an i-subset of V(G). The star polynomial representation of G is the generating function of the sequence of the number of induced i-stars in G. In this paper, we establish the star polynomials of some special graphs such as the star graph, spider graph, complete bipartite graph, and the complete q-partite graph.

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Advances and Applications in Discrete Mathematics MATHEMATICS-

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