On the distance spectral radius of digraphs with given diameter

Weige Xi, Wasin So, Ligong Wang

科研成果: 期刊稿件文章同行评审

4 引用 (Scopus)

摘要

The distance spectral radius (Formula presented.) of a strongly connected digraph G is the eigenvalue of its distance matrix (Formula presented.) with the largest modulus. Let (Formula presented.) denote the set of strongly connected digraphs with order n and diameter d. In this paper, we completely determine the strongly connected digraphs minimizing (Formula presented.) among all strongly connected digraphs with order n and diameter d, for d = 1, 2, 3, 4, 5, 6, 7, n−1. We also propose a conjecture about the minimum distance spectral radius among all strongly connected digraphs with given diameter (Formula presented.).

源语言英语
页(从-至)2547-2557
页数11
期刊Linear and Multilinear Algebra
69
14
DOI
出版状态已出版 - 2021

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