数学季刊 ›› 2024, Vol. 39 ›› Issue (2): 161-170.doi: 10.13371/j.cnki.chin.q.j.m.2024.02.004
席维鸽, 许涛
收稿日期:2023-04-17
出版日期:2024-06-30
发布日期:2024-06-30
通讯作者:
XI Wei-ge (1989-), female, native of Baoji, Shaanxi, associate professor of Northwest A&F University, engages in spectral graph theory;
E-mail:xiyanxwg@163.com
作者简介:XI Wei-ge (1989-), female, native of Baoji, Shaanxi, associate professor of Northwest A&F University, engages in spectral graph theory; XU Tao (2001-), male, native of Yanan, Shaanxi, graduate student of Northwest A&F University.
基金资助:XI Wei-ge, XU Tao
Received:2023-04-17
Online:2024-06-30
Published:2024-06-30
Contact:
XI Wei-ge (1989-), female, native of Baoji, Shaanxi, associate professor of Northwest A&F University, engages in spectral graph theory;
E-mail:xiyanxwg@163.com
About author:XI Wei-ge (1989-), female, native of Baoji, Shaanxi, associate professor of Northwest A&F University, engages in spectral graph theory; XU Tao (2001-), male, native of Yanan, Shaanxi, graduate student of Northwest A&F University.
Supported by:摘要： Let D be a weighted digraph with n vertices in which each arc has been assigned a positive number. Let A(D) be the adjacency matrix of D and W(D) = diag(w1+,w2+,...,wn+). In this paper, we study the matrix Aα(D), which is defined as Aα(D) =αW(D)+ (1−α)A(D), 0≤α≤1. The spectral radius of Aα(D) is called the Aα spectral radius of D, denoted by λα(D). We obtain some upper bounds on the Aα spectral radius of strongly connected irregular weighted digraphs.
中图分类号:
席维鸽, 许涛. 非正则赋权有向图 Aa 谱半径的上界[J]. 数学季刊, 2024, 39(2): 161-170.
XI Wei-ge, XU Tao. Upper Bounds on the Aα Spectral Radius of Irregular Weighted Digraphs[J]. Chinese Quarterly Journal of Mathematics, 2024, 39(2): 161-170.
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