Aα-Spectral Characterizations of Some Joins

Tingzeng Wu, Tian Zhou and Naihuan Jing

Journal of Mathematics, 2020, vol. 2020, 1-8

Abstract: Let G be a graph with n vertices. For every real α∈0,1, write AαG for the matrix AαG=αDG+1−αAG, where AG and DG denote the adjacency matrix and the degree matrix of G, respectively. The collection of eigenvalues of AαG together with multiplicities are called the Aα-spectrum of G. A graph G is said to be determined by its Aα-spectrum if all graphs having the same Aα-spectrum as G are isomorphic to G. In this paper, we show that some joins are determined by their Aα-spectra for α∈0,1/2 or 1/2,1.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8294312

DOI: 10.1155/2020/8294312

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