The characteristic polynomials of uniform hypercycles with length four

Cunxiang Duan; Ligong Wang; Yulong Wei

paper

The characteristic polynomials of uniform hypercycles with length four

arXiv:2309.02830

Abstract

Let $C_{m}$ be a cycle with length $m .$ The $k$ -uniform hypercycle with length $m$ 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.