阈值图的松博矩阵谱特性

Bilal Ahmad RATHER, Muhammad Imran, Zahid Raza, Fozia Bashir Farooq
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引用次数: 0

摘要

我们研究了阈值图的松博频谱特性,给出了松博指数公式,给出了松博特征值,描述了具有简单松博特征值的图的特征,给出了最小/最大松博特征值的边界,松博特征值的乘数,给出了相关商矩阵的迹和行列式,松博扩散边界和松博能量边界以及极值图的特征。最后,结论指出我们的所有结果都适用于邻接矩阵和其他邻接类型矩阵。
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Spectral properties of sombor matrix of threshold graphs
We investigate the Sombor spectral properties of threshold graphs, a formula for the Sombor index is presented, the Sombor eigenvalues are given, graphs with simple Sombor eigenvalues are characterized, bounds on the smallest/largest Sombor eigenvalues are presented, the multiplicities of the Sombor eigenvalues, formulae for trace and determinant of the associated quotient matrix are given, the Sombor spread bound and the bounds on the Sombor energy along with the characterization of extremal graphs. At the end, the conclusion states that all our results are valid for adjacency matrix and other adjacency type matrices.
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