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

School of Mathematics and Statistics

Taiyuan University of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	128821
Journal	Applied Mathematics and Computation
Volume	477
DOIs	https://doi.org/10.1016/j.amc.2024.128821
State	Published - 15 Sep 2024

Keywords

Characteristic polynomial
Eigenvalue
Hypercycle
Trace formula

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10.1016/j.amc.2024.128821

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title = "The characteristic polynomials of uniform hypercycles with length four",

abstract = "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.",

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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

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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

Abstract

Keywords

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