On Q-integral graphs with edge-degrees at most six

Jongyook Park; Yoshio Sano

doi:10.1016/j.laa.2019.04.015

On Q-integral graphs with edge-degrees at most six

Jongyook Park, Yoshio Sano

University of Tsukuba

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Q-integral graphs are graphs whose signless Laplacians have only integral eigenvalues. The edge-degree of an edge is the number of edges adjacent to the edge. In 2008, S. K. Simić and Z. Stanić studied connected Q-integral graphs with edge-degrees at most five. In this paper, we study connected Q-integral graphs with edge-degrees at most six.

Original language	English
Pages (from-to)	384-411
Number of pages	28
Journal	Linear Algebra and Its Applications
Volume	577
DOIs	https://doi.org/10.1016/j.laa.2019.04.015
State	Published - 15 Sep 2019

Keywords

Edge-degree
Graph spectra
Integral graph
Q-integral graph
Signless Laplacian
Spectral radius

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10.1016/j.laa.2019.04.015

Cite this

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title = "On Q-integral graphs with edge-degrees at most six",

abstract = "Q-integral graphs are graphs whose signless Laplacians have only integral eigenvalues. The edge-degree of an edge is the number of edges adjacent to the edge. In 2008, S. K. Simi{\'c} and Z. Stani{\'c} studied connected Q-integral graphs with edge-degrees at most five. In this paper, we study connected Q-integral graphs with edge-degrees at most six.",

keywords = "Edge-degree, Graph spectra, Integral graph, Q-integral graph, Signless Laplacian, Spectral radius",

author = "Jongyook Park and Yoshio Sano",

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AU - Sano, Yoshio

PY - 2019/9/15

Y1 - 2019/9/15

N2 - Q-integral graphs are graphs whose signless Laplacians have only integral eigenvalues. The edge-degree of an edge is the number of edges adjacent to the edge. In 2008, S. K. Simić and Z. Stanić studied connected Q-integral graphs with edge-degrees at most five. In this paper, we study connected Q-integral graphs with edge-degrees at most six.

AB - Q-integral graphs are graphs whose signless Laplacians have only integral eigenvalues. The edge-degree of an edge is the number of edges adjacent to the edge. In 2008, S. K. Simić and Z. Stanić studied connected Q-integral graphs with edge-degrees at most five. In this paper, we study connected Q-integral graphs with edge-degrees at most six.

KW - Edge-degree

KW - Graph spectra

KW - Integral graph

KW - Q-integral graph

KW - Signless Laplacian

KW - Spectral radius

UR - https://www.scopus.com/pages/publications/85065513310

U2 - 10.1016/j.laa.2019.04.015

DO - 10.1016/j.laa.2019.04.015

M3 - Article

AN - SCOPUS:85065513310

SN - 0024-3795

VL - 577

SP - 384

EP - 411

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

On Q-integral graphs with edge-degrees at most six

Abstract

Keywords

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