交换环上单位图的Wiener索引

IF 0.4 4区数学 Q4 MATHEMATICS Algebra Colloquium Pub Date : 2022-04-30 DOI:10.1142/s1005386722000189

T. Asir, V. Rabikka, H. Su

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引用次数: 3

摘要

设[公式:见文]为非零单位元环。[公式:见文]的单位图，用[公式:见文]表示，是一个以[公式:见文]的所有元素为顶点的无向图，当且仅当[公式:见文]是[公式:见文]的一个单位时，不同的顶点[公式:见文]、[公式:见文]相邻。本文研究了[公式:见文]的维纳指数和超维纳指数，并明确确定了它们的值。

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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On Wiener Index of Unit Graph Associated with a Commutative Ring

Let [Formula: see text] be a ring with non-zero identity. The unit graph of [Formula: see text], denoted by [Formula: see text], is an undirected graph with all the elements of [Formula: see text] as vertices and where distinct vertices [Formula: see text], [Formula: see text] are adjacent if and only if [Formula: see text] is a unit of [Formula: see text]. In this paper, we investigate the Wiener index and hyper-Wiener index of [Formula: see text] and explicitly determine their values.

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.

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