与某些图类相关的矩阵的群逆

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2022-03-28 DOI:10.13001/ela.2022.6717

J. McDonald, R. Nandi, K. Sivakumar

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引用次数: 3

摘要

我们得到了与一类新的有向图有关的矩阵群逆的公式。这个新类同时包含二部图和非二部图。证明了双星有向图矩阵的群逆表达式和某些无向多星图的邻接矩阵表达式。给出了荷兰风车图邻接矩阵的逆或群逆的分块表示。

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Group inverses of matrices associated with certain graph classes

We obtain formulae for group inverses of matrices that are associated with a new class of digraphs obtained from stars. This new class contains both bipartite and non-bipartite graphs. Expressions for the group inverse of matrices corresponding to double star digraphs and the adjacency matrix of certain undirected multi-star graphs are also proven. A blockwise representation of the inverse or group inverse of the adjacency matrix of the Dutch windmill graph is presented.

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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.