The Aα spectral radius characterization of some digraphs - Details

author：

Liu, Jianping (Liu, Jianping.) ^[1] | Wu, Xianzhang (Wu, Xianzhang.) ^[2] | Chen, Jinsong (Chen, Jinsong.) ^[3] | Liu, Bolian (Liu, Bolian.) ^[4]

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Abstract：

Let　λ(D)　be　the　Aα　spectral　radius　of　digraph　D,　and　let　Gnr　be　the　set　of　digraphs　with　order　n　and　dichromatic　number　r.　In　this　paper,　we　characterize　the　digraph　which　has　the　maximal　Aα　spectral　radius　in　Gnr.　Moreover,　we　also　determine　the　unique　digraph　which　attains　the　maximum　(resp.　minimum)　Aα　spectral　radius　among　all　strongly　connected　bicyclic　digraphs.　©　2018　Elsevier　Inc.

Keyword：

Color vision Directed graphs Matrix algebra

Community：

[ 1 ] [Liu, Jianping]College of Mathematics and Computer Science, Fuzhou University, Fuzhou; 350108, China
[ 2 ] [Liu, Jianping]Key Laboratory of Intelligent Metro of Universities in Fujian Province, Fuzhou University, Fuzhou; 350108, China
[ 3 ] [Wu, Xianzhang]College of Mathematics and Computer Science, Fuzhou University, Fuzhou; 350108, China
[ 4 ] [Wu, Xianzhang]College of Mathematics and Data Science, Minjiang University, Fuzhou; 350108, China
[ 5 ] [Chen, Jinsong]College of Mathematics and Computer Science, Fuzhou University, Fuzhou; 350108, China
[ 6 ] [Chen, Jinsong]Key Laboratory of Intelligent Metro of Universities in Fujian Province, Fuzhou University, Fuzhou; 350108, China
[ 7 ] [Liu, Bolian]School of Mathematics Sciences, South China Normal University, Guangzhou; 510631, China

Reprint 's Address：

[chen, jinsong]key laboratory of intelligent metro of universities in fujian province, fuzhou university, fuzhou; 350108, china;;[chen, jinsong]college of mathematics and computer science, fuzhou university, fuzhou; 350108, china

Email：

fzu_cjs@126.com

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Source ：

Linear Algebra and Its Applications

ISSN： 0024-3795

Year： 2019

Volume： 563

Page： 63-74

0 . 9 8 8

JCR@2019

1 . 0 0 0

JCR@2023

ESI HC Threshold：59

JCR Journal Grade：2

CAS Journal Grade：3

Cited Count：

WoS CC Cited Count： 0

SCOPUS Cited Count： 25

ESI Highly Cited Papers on the List： 0 Unfold All

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 7

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