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11

COMBINATORICS
2006

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The Zeta Function of a Hypergraph

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The Zeta Function of a Hypergraph

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We generalize the Ihara-Selberg zeta function to hypergraphs in a natural way. Hashimoto's factorization results for biregular bipartite graphs apply, leading to exact factorizations. For (d, r)-regular hypergraphs, we show that a modified Riemann hypothesis is true if and only if the hypergraph is Ramanujan in the sense of Winnie Li and Patrick Sol

Christopher K. Storm

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Added	11 Dec 2010
Updated	11 Dec 2010
Type	Journal
Year	2006
Where	COMBINATORICS
Authors	Christopher K. Storm

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