New families of trees determined by their spectra

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-05-14 DOI:10.1016/j.laa.2025.05.007

Zhibin Du , Carlos M. da Fonseca

引用次数: 0

Abstract

In a groundbreaking work, Rowlinson in 2010 established some bounds for the multiplicities of an eigenvalue of a tree. These limits were obtained using the star complement technique and have been the subject of increasing interest in recent years. In this paper, we refine them and as a consequence we obtain new families of trees determined by their spectra. For this purpose, we develop a new method based on the eigenvalue multiplicities. As special cases, we can recover the spectral characterization recently obtained for the p-sun and the double

(p, q)

-sun.

查看原文本刊更多论文

由光谱确定的树的新科

在一项开创性的工作中，Rowlinson在2010年为树的特征值的多重性建立了一些界限。这些极限是利用星补技术得到的，近年来已成为人们越来越感兴趣的主题。在本文中，我们对它们进行了改进，从而得到了由它们的光谱决定的新的树族。为此，我们提出了一种基于特征值多重度的新方法。作为特殊情况，我们可以恢复最近获得的p-太阳和双(p,q)-太阳的光谱特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.