The characteristic polynomials of uniform double hyperstars and uniform hypertriangles

Cunxiang Duan; Edwin R. van Dam; Ligong Wang

doi:10.1016/j.laa.2023.08.011

The characteristic polynomials of uniform double hyperstars and uniform hypertriangles

Cunxiang Duan
, Edwin R. van Dam
, Ligong Wang

数学与统计学院

Taiyuan University of Technology
Northwestern Polytechnical University Xian
Tilburg University

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

A k-power hypergraph is obtained from a graph by adding k−2 new vertices to each edge of the graph. A k-uniform double hyperstar is the k-power hypergraph of a double star. The k-uniform hypertriangle is the k-power hypergraph of a triangle. We present the characteristic polynomials of uniform double hyperstars by using the Poisson formula. Moreover, we find expressions for the traces of uniform hypertriangles and use these to obtain the characteristic polynomials of uniform hypertriangles.

源语言	英语
页（从-至）	16-32
页数	17
期刊	Linear Algebra and Its Applications
卷	678
DOI	https://doi.org/10.1016/j.laa.2023.08.011
出版状态	已出版 - 1 12月 2023

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10.1016/j.laa.2023.08.011

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abstract = "A k-power hypergraph is obtained from a graph by adding k−2 new vertices to each edge of the graph. A k-uniform double hyperstar is the k-power hypergraph of a double star. The k-uniform hypertriangle is the k-power hypergraph of a triangle. We present the characteristic polynomials of uniform double hyperstars by using the Poisson formula. Moreover, we find expressions for the traces of uniform hypertriangles and use these to obtain the characteristic polynomials of uniform hypertriangles.",

keywords = "Adjacency tensor, Characteristic polynomial, Double hyperstar, Hypertriangle, Spectrum of a hypergraph, Trace",

author = "Cunxiang Duan and \{van Dam\}, \{Edwin R.\} and Ligong Wang",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2023",

month = dec,

day = "1",

doi = "10.1016/j.laa.2023.08.011",

language = "英语",

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T1 - The characteristic polynomials of uniform double hyperstars and uniform hypertriangles

AU - Duan, Cunxiang

AU - van Dam, Edwin R.

AU - Wang, Ligong

PY - 2023/12/1

Y1 - 2023/12/1

N2 - A k-power hypergraph is obtained from a graph by adding k−2 new vertices to each edge of the graph. A k-uniform double hyperstar is the k-power hypergraph of a double star. The k-uniform hypertriangle is the k-power hypergraph of a triangle. We present the characteristic polynomials of uniform double hyperstars by using the Poisson formula. Moreover, we find expressions for the traces of uniform hypertriangles and use these to obtain the characteristic polynomials of uniform hypertriangles.

AB - A k-power hypergraph is obtained from a graph by adding k−2 new vertices to each edge of the graph. A k-uniform double hyperstar is the k-power hypergraph of a double star. The k-uniform hypertriangle is the k-power hypergraph of a triangle. We present the characteristic polynomials of uniform double hyperstars by using the Poisson formula. Moreover, we find expressions for the traces of uniform hypertriangles and use these to obtain the characteristic polynomials of uniform hypertriangles.

KW - Adjacency tensor

KW - Characteristic polynomial

KW - Double hyperstar

KW - Hypertriangle

KW - Spectrum of a hypergraph

KW - Trace

UR - https://www.scopus.com/pages/publications/85171560558

U2 - 10.1016/j.laa.2023.08.011

DO - 10.1016/j.laa.2023.08.011

M3 - 文章

AN - SCOPUS:85171560558

SN - 0024-3795

VL - 678

SP - 16

EP - 32

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

The characteristic polynomials of uniform double hyperstars and uniform hypertriangles

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