论某些汞齐均匀超图的稳定指数和循环指数

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2024-09-03 DOI:10.1016/j.laa.2024.08.020

Cheng Yeaw Ku , Kok Bin Wong

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引用次数: 0

摘要

设 G 是一个连通的均匀超图，A(G) 是 G 的邻接张量。A(G) 的特征值的最大绝对值称为 G 的谱半径。模等于谱半径的 A(G) 特征值的个数称为 G 的循环指数。本文考虑一类汞齐均匀超图，并计算其稳定指数和循环指数。

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 stabilizing index and cyclic index of certain amalgamated uniform hypergraphs

Let G be a connected uniform hypergraph and $A (G)$ be the adjacency tensor of G. The largest absolute value of the eigenvalues of $A (G)$ is called the spectral radius of G. The number of eigenvectors of $A (G)$ associated with the spectral radius is called the stabilizing index of G. The number of eigenvalues of $A (G)$ with modulus equal to the spectral radius is called the cyclic index of G. In this paper, we consider a class of amalgamated uniform hypergraphs and compute its stabilizing index and cyclic index.

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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.