关于非传输正则图的D_alpha谱半径
组合数学
2025-12-04 v2
摘要
设G是一个具有n个顶点和m条边的连通图。令D(G)和Tr(G)分别为G的距离矩阵和顶点传输对角矩阵。对于任意实数α∈[0,1]，G的广义距离矩阵D_α(G)定义为D_α(G)=α Tr(G)+(1-α)D(G)。D_α(G)的最大特征值称为G的D_α谱半径或广义距离谱半径，记作μ_α(G)。本文建立了非传输正则图的最大顶点传输与D_α谱半径之差的下界，并刻画了达到该界的极值图。
引用
@article{arxiv.2402.03404,
title = {On the $D_\alpha$ spectral radius of non-transmission regular graphs},
author = {Zengzhao Xu and Weige Xi and Ligong Wang},
journal= {arXiv preprint arXiv:2402.03404},
year = {2025}
}
备注
This article has undergone further revisions and enhancements, all of which were contributed by Ligong Wang. In recognition of his contributions, Ligong Wang is now acknowledged as a new co-author. The manuscript has been updated to its current version to incorporate these changes. We affirm that all authors have reviewed and approved this update