77 search results - page 1 / 16 » The Zeta Function of a Hypergraph |
COMBINATORICS
2007
13 years 4 months ago
2007
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, a...
COMBINATORICS
2006
13 years 4 months ago
2006
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 factor...
COMBINATORICS
2006
13 years 4 months ago
2006
We present a decomposition formula for the weighted zeta function of an irregular covering of a graph by its weighted L-functions. Moreover, we give a factorization of the weighte...
ICPR
2008
IEEE
13 years 11 months ago
2008
IEEE
This paper shows how to construct pattern vectors from the Ihara zeta function for the purposes of characterizing graph structures. To avoid the risk of sampling the meaningless i...
MOC
2002
13 years 4 months ago
2002
Abstract. In this paper, we are interested in the evaluation of the zeta function of the simplest cubic field. We first introduce Siegel's formula for values of the zeta funct...