On Q-integral graphs with Q-spectral radius 6

Oh, Semin; Park, Jeong Rye; Park, Jongyook; Sano, Yoshio

doi:10.1016/j.laa.2022.08.031

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On Q-integral graphs with Q-spectral radius 6

Oh, Semin;
Park, Jeong Rye;
Park, Jongyook;
Sano, Yoshio

Citations

WEB OF SCIENCE

3

Citations

SCOPUS

4

초록

A connected Q-integral graphs with Q-spectral radius 6 is either known or has maximum edge-degree 5 or is a bipartite graph containing S3,3 as an induced subgraph, where S3,3 is the double star which is obtained from two disjoint claws K1,3 by adding one edge between the two vertices of degree 3. In this paper, we will slightly improve this result by showing that there is no connected Q-integral bipartite graph with Q -spectral radius 6 containing S3,3 as an induced subgraph.(c) 2022 Elsevier Inc. All rights reserved.

키워드

Graph spectra; Integral graph; Bipartite graph; Signless Laplacian; Q-integral graph; Spectral radius; EDGE-DEGREES

제목: On Q-integral graphs with Q-spectral radius 6

저자: Oh, Semin; Park, Jeong Rye; Park, Jongyook; Sano, Yoshio

DOI: 10.1016/j.laa.2022.08.031

발행일: 2022-12-01

유형: Article

저널명: Linear Algebra and Its Applications

권: 654

페이지: 267 ~ 288

언어: ENG

출판사: ELSEVIER SCIENCE INC

발행국가: 미국

분량: 22 페이지

ISSN: E 1873-1856
P 0024-3795