The characteristic polynomials of uniform hypercycles with length four

Cunxiang Duan; Ligong Wang; Yulong Wei

doi:10.1016/j.amc.2024.128821

The characteristic polynomials of uniform hypercycles with length four

Cunxiang Duan
, Ligong Wang
, Yulong Wei

数学与统计学院

Taiyuan University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

Let C_m be a cycle with length m. The k-uniform hypercycle with length m is obtained by adding k−2 new vertices in every edge of C_m, denoted by C_m,k. In this paper, we obtain some trace formulas of uniform hypercycles with length four. Moreover, we give the characteristic polynomials of uniform hypercycles with length four.

源语言	英语
期刊论文编号	128821
期刊	Applied Mathematics and Computation
卷	477
DOI	https://doi.org/10.1016/j.amc.2024.128821
出版状态	已出版 - 15 9月 2024

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10.1016/j.amc.2024.128821

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author = "Cunxiang Duan and Ligong Wang and Yulong Wei",

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year = "2024",

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T1 - The characteristic polynomials of uniform hypercycles with length four

AU - Duan, Cunxiang

AU - Wang, Ligong

AU - Wei, Yulong

PY - 2024/9/15

Y1 - 2024/9/15

N2 - Let Cm be a cycle with length m. The k-uniform hypercycle with length m is obtained by adding k−2 new vertices in every edge of Cm, denoted by Cm,k. In this paper, we obtain some trace formulas of uniform hypercycles with length four. Moreover, we give the characteristic polynomials of uniform hypercycles with length four.

AB - Let Cm be a cycle with length m. The k-uniform hypercycle with length m is obtained by adding k−2 new vertices in every edge of Cm, denoted by Cm,k. In this paper, we obtain some trace formulas of uniform hypercycles with length four. Moreover, we give the characteristic polynomials of uniform hypercycles with length four.

KW - Characteristic polynomial

KW - Eigenvalue

KW - Hypercycle

KW - Trace formula

UR - https://www.scopus.com/pages/publications/85192950622

U2 - 10.1016/j.amc.2024.128821

DO - 10.1016/j.amc.2024.128821

M3 - 文章

AN - SCOPUS:85192950622

SN - 0096-3003

VL - 477

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

M1 - 128821

ER -

The characteristic polynomials of uniform hypercycles with length four

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