The characteristic polynomials of uniform hypercycles with length four

Cunxiang Duan, Ligong Wang and Yulong Wei

Applied Mathematics and Computation, 2024, vol. 477, issue C

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.

Keywords: Characteristic polynomial; Trace formula; Eigenvalue; Hypercycle (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:477:y:2024:i:c:s0096300324002820

DOI: 10.1016/j.amc.2024.128821

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