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

Published 18 Jun 2021 in math.CO and math.SP | (2106.09873v1)

Abstract: 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.

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