具有双环逆的单环3-色有向图

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2022-09-15 DOI:10.13001/ela.2022.7037

D. Kalita, K. Sarma

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引用次数: 0

摘要

一类具有循环权$\pm\mathrm{i}$和唯一完全匹配的单循环$3$色有向图，用$\mathcal表示{U}_g$，在本文中被考虑。Kalita和Sarma[关于单环3-色有向图的逆，线性和多线性代数，DOI:10.1080/03081087.2021.1948956]引入了$3$色有向图逆的概念。他们在$\mathcal中刻画了单环$3$色有向图{U}_g$拥有单循环逆。本文提供了$\mathcal中单循环$3$色有向图的一个完整特征{U}_g$拥有双环逆。

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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Unicyclic 3-colored digraphs with bicyclic inverses

The class of unicyclic $3$-colored digraphs with the cycle weight $\pm\mathrm{i}$ and with a unique perfect matching, denoted by $\mathcal{U}_g$, is considered in this article. Kalita \& Sarma [On the inverse of unicyclic 3-coloured digraphs, Linear and Multilinear Algebra, DOI: 10.1080/03081087.2021.1948956] introduced the notion of inverse of $3$-colored digraphs. They characterized the unicyclic $3$-colored digraphs in $\mathcal{U}_g$ possessing unicyclic inverses. This article provides a complete characterization of the unicyclic $3$-colored digraphs in $\mathcal{U}_g$ possessing bicyclic inverses.

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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.