The characteristic polynomials of $r$-uniform hypercycles with length $l$

Dong Bo, Duan Cunxiang, Wang Ligong

Let $C_l$ be a cycle with length $l.$ The $r$-uniform hypercycle with length $l$ is obtained by adding $r-2$ new vertices in every edge of $C_l,$ denoted by $C_l^{(r)}$. In thi…