Bartholdi Zeta Functions for Hypergraphs

Recently, Storm [8] defined the Ihara-Selberg zeta function of a hypergraph, and gave two determinant expressions of it. We define the Bartholdi zeta function of a hypergraph, and present a determinant expression of it. Furthermore, we give a determinant expression for the Bartholdi zeta function of semiregular bipartite graph. As a corollary, we obtain a decomposition formula for the Bartholdi zeta function of some regular hypergraph.

• Type: Journal
• Year: 2007
• Where: COMBINATORICS
• Authors: Iwao Sato
• Keywords: Bartholdi Zeta Function, COMBINATORICS 2007, Determinant Expression, Zeta Function