The Ihara-zeta function and the spectrum of the join of two semi-regular bipartite graphs

Xiaotong Li, Xian'an Jin, Qi Yan

Published 2021-06-18Version 1

In this paper, using matrix techniques, we compute the Ihara-zeta function and the number of spanning trees of the join of two semi-regular bipartite graphs. Furthermore, we show that the spectrum and the zeta function of the join of two semi-regular bipartite graphs can determine each other.