Distance spectral radii of k-uniform hypertrees with fixed diameter

Xiangxiang Liu; Ligong Wang

doi:10.1007/s10801-024-01316-z

Distance spectral radii of k-uniform hypertrees with fixed diameter

Xiangxiang Liu
, Ligong Wang

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

The distance spectral radius of a connected hypergraph is the largest eigenvalue of its distance matrix. In this paper, we determine the k-uniform hypertree with the minimal spectral radius among all k-uniform hypertrees with m edges and diameter d, where 3≤d≤m-1.

源语言	英语
页（从-至）	899-915
页数	17
期刊	Journal of Algebraic Combinatorics
卷	59
期	4
DOI	https://doi.org/10.1007/s10801-024-01316-z
出版状态	已出版 - 6月 2024

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10.1007/s10801-024-01316-z

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title = "Distance spectral radii of k-uniform hypertrees with fixed diameter",

abstract = "The distance spectral radius of a connected hypergraph is the largest eigenvalue of its distance matrix. In this paper, we determine the k-uniform hypertree with the minimal spectral radius among all k-uniform hypertrees with m edges and diameter d, where 3≤d≤m-1.",

keywords = "Diameter, Distance spectral radius, k-uniform hypertree",

author = "Xiangxiang Liu and Ligong Wang",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.",

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AU - Liu, Xiangxiang

AU - Wang, Ligong

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.

PY - 2024/6

Y1 - 2024/6

N2 - The distance spectral radius of a connected hypergraph is the largest eigenvalue of its distance matrix. In this paper, we determine the k-uniform hypertree with the minimal spectral radius among all k-uniform hypertrees with m edges and diameter d, where 3≤d≤m-1.

AB - The distance spectral radius of a connected hypergraph is the largest eigenvalue of its distance matrix. In this paper, we determine the k-uniform hypertree with the minimal spectral radius among all k-uniform hypertrees with m edges and diameter d, where 3≤d≤m-1.

KW - Diameter

KW - Distance spectral radius

KW - k-uniform hypertree

UR - https://www.scopus.com/pages/publications/85189372334

U2 - 10.1007/s10801-024-01316-z

DO - 10.1007/s10801-024-01316-z

M3 - 文章

AN - SCOPUS:85189372334

SN - 0925-9899

VL - 59

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EP - 915

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

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ER -

Distance spectral radii of k-uniform hypertrees with fixed diameter

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