A new generalization of Fielder's lemma with applications

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-03-27 DOI:10.1016/j.laa.2025.03.019

Komal Kumari, Pratima Panigrahi

引用次数: 0

Abstract

Very recently, Ma and Wu (2024) obtained a generalization of Fielder's lemma and applied it to find the adjacency, Laplacian, and signless Laplacian spectra of the

P_{n}

-product of commuting graphs. In this paper, we give a generalization of Fielder's lemma which not only generalizes the result of Ma and Wu (2024) but also enables one to find several kind of spectra of H-product of graphs, when H is an arbitrary graph. Moreover, we compute the adjacency spectrum of H-product of commuting graphs and the universal adjacency spectrum of H-product of commuting regular graphs.

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.