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The Ihara-zeta function and the spectrum of the join of two semi-regular bipartite graphs
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The Ihara-zeta function and the spectrum of the join of two semi-regular bipartite graphs
classification
math.CO
math.SP
keywords
bipartitefunctiongraphsjoinsemi-regularihara-zetaspectrumcompute
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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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