The characteristic polynomials of uniform hypercycles with length four

Let $C_m$ be a cycle with length $m\mathrm{.}$ The $k$-uniform hypercycle with length $m$ obtained by adding $k-2$ new vertices in every edge of $C_m,$ denoted by $C_{m,k}\mathrm{.}$ 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.