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

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Discrete Optimization Pub Date : 2023-01-01 DOI:10.1016/j.disopt.2022.100758

Qixuan Yuan, Ruifang Liu, Jinjiang Yuan

引用次数: 0

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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。

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来源期刊

Discrete Optimization 管理科学-应用数学

CiteScore

2.10

自引率

9.10%

发文量

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.