The characteristic polynomials of uniform hypercycles with length four

Cunxiang Duan, Ligong Wang, Yulong Wei

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number128821
JournalApplied Mathematics and Computation
Volume477
DOIs
StatePublished - 15 Sep 2024

Keywords

  • Characteristic polynomial
  • Eigenvalue
  • Hypercycle
  • Trace formula

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