图形的高阶谱表征

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2025-02-07 DOI:10.1016/j.disc.2025.114421

Lixiang Chen , Lizhu Sun , Changjiang Bu

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引用次数: 0

摘要

图G的幂超图的张量谱称为G的高阶谱。本文证明了所有的史密斯图都由它们的高阶谱决定。给出了树的一些高阶协谱不变量，并利用它们证明了用经典Schwenk方法构造的一些协谱树可以用它们的高阶谱来区分。

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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High-order spectral characterizations of graphs

The tensor spectra of the power hypergraph of a graph G is called the high-order spectra of G. In this paper, we show that all Smith graphs are determined by their high-order spectra. We give some high-order cospectral invariants of trees and use them to show that some cospectral trees constructed by the classical Schwenk method can be distinguished by their high-order spectra.

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来源期刊

Discrete Mathematics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

424

审稿时长

6 months

期刊介绍： Discrete Mathematics provides a common forum for significant research in many areas of discrete mathematics and combinatorics. Among the fields covered by Discrete Mathematics are graph and hypergraph theory, enumeration, coding theory, block designs, the combinatorics of partially ordered sets, extremal set theory, matroid theory, algebraic combinatorics, discrete geometry, matrices, and discrete probability theory. Items in the journal include research articles (Contributions or Notes, depending on length) and survey/expository articles (Perspectives). Efforts are made to process the submission of Notes (short articles) quickly. The Perspectives section features expository articles accessible to a broad audience that cast new light or present unifying points of view on well-known or insufficiently-known topics.