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链图的索姆博尔谱

Sombor spectra of chain graphs.

作者信息

Imran Muhammad, Rather Bilal Ahmad

机构信息

Mathematical Sciences Department, College of Science, United Arab Emirate University, Al Ain 15551, Abu Dhabi, United Arab Emirates.

出版信息

Heliyon. 2023 Jul 13;9(7):e18135. doi: 10.1016/j.heliyon.2023.e18135. eCollection 2023 Jul.

DOI:10.1016/j.heliyon.2023.e18135
PMID:37539176
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10395351/
Abstract

We study the Sombor index and the Sombor spectral properties of chain graphs. In particular, an explicit formula for the Sombor index is given, the Sombor eigenvalues are discussed, bounds on the largest and the smallest Sombor eigenvalues are presented, chain graphs with the simple Sombor eigenvalue are characterized, formulae for the Frobenius norm and the determinant of the Sombor quotient matrix of chain graphs are given, the Sombor spread bound and the Sombor energy bounds are presented along with the characterization of graphs attaining them.

摘要

我们研究链图的Sombor指数和Sombor谱性质。特别地，给出了Sombor指数的显式公式，讨论了Sombor特征值，给出了最大和最小Sombor特征值的界，刻画了具有简单Sombor特征值的链图，给出了链图的Sombor商矩阵的Frobenius范数和行列式的公式，给出了Sombor谱展布界和Sombor能量界以及达到这些界的图的刻画。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fac6/10395351/1ecb6ae2b0d8/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fac6/10395351/1ecb6ae2b0d8/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fac6/10395351/1ecb6ae2b0d8/gr001.jpg

相似文献

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Sombor spectra of chain graphs.链图的索姆博尔谱
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引用本文的文献

1
Sombor characteristic values of cographs.余图的索姆伯尔特征值。
Heliyon. 2024 Sep 30;10(19):e38578. doi: 10.1016/j.heliyon.2024.e38578. eCollection 2024 Oct 15.