The Aα-spectral radius of nonregular graphs (digraphs) and maximum degree (outdegree)

IF 0.9 4区 数学 Q3 MATHEMATICS, APPLIED
Qixuan Yuan, Ruifang Liu, Jinjiang Yuan
{"title":"The Aα-spectral radius of nonregular graphs (digraphs) and maximum degree (outdegree)","authors":"Qixuan Yuan, Ruifang Liu, Jinjiang Yuan","doi":"10.1016/j.disopt.2022.100758","DOIUrl":null,"url":null,"abstract":"","PeriodicalId":50571,"journal":{"name":"Discrete Optimization","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Optimization","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1572528622000639","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
非正则图(有向图)的a α-谱半径及最大度(出度)
对于0≤α<;1,设Aα(G)=αD(G)+(1-α。本文证明了Δ-λα(G)>;(1-α)(nΔ−2m)k2。(2017)。此外,我们还证明了Δ-λα(G)>;(1-α)(nΔ−2m)k2。(2018).设Γ是一个n阶、大小为m、最大出度为Δ+的k-强非正则有向图。对于0≤α<;1,设Aα(Γ)=αD(Γ。用λα(Γ)表示有向图Γ的Aα-谱半径。证明了Δ+-λα(Γ)>;(1-α)(nΔ+−m)k22(nΔ+−m)(n−1)2−(Δ+−k+1)(n–k−1)+(1-a)nk2,改进了Xi和王(2020)的结果。文章最后对相关问题进行了讨论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Discrete Optimization
Discrete Optimization 管理科学-应用数学
CiteScore
2.10
自引率
9.10%
发文量
30
审稿时长
>12 weeks
期刊介绍: Discrete Optimization publishes research papers on the mathematical, computational and applied aspects of all areas of integer programming and combinatorial optimization. In addition to reports on mathematical results pertinent to discrete optimization, the journal welcomes submissions on algorithmic developments, computational experiments, and novel applications (in particular, large-scale and real-time applications). The journal also publishes clearly labelled surveys, reviews, short notes, and open problems. Manuscripts submitted for possible publication to Discrete Optimization should report on original research, should not have been previously published, and should not be under consideration for publication by any other journal.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信