The characteristic polynomials of uniform hypercycles with length four

Cunxiang Duan; Ligong Wang; Yulong Wei

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arXiv · 2309.02830

The characteristic polynomials of uniform hypercycles with length four

Cunxiang Duan·Ligong Wang·Yulong Wei

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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.

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Cunxiang Duan, Ligong Wang, Yulong Wei. 2023-09-06. The characteristic polynomials of uniform hypercycles with length four. https://arxiv.org/abs/2309.02830

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