Name
Abstract | ||
|---|---|---|
Recently, Storm [10] defined the Ihara-Selberg zeta function of a hypergraph, and gave two determinant expressions of it by the Perron-Frobenius operator of a digraph and a deformation of the usual Laplacian of a graph. We present a new determinant expression for the Ihara-Selbergzeta function of a hypergraph, and give a linear algebraic proof of Storm's Theorem. Furthermore, we generalize these results to the Bartholdi zeta function of a hypergraph. |
Year | Venue | Field |
|---|---|---|
2009 | ELECTRONIC JOURNAL OF COMBINATORICS | Discrete mathematics,Combinatorics,Algebraic number,Riemann zeta function,Prime zeta function,Hypergraph,Arithmetic zeta function,Operator (computer programming),Mathematics,Digraph,Laplace operator |
DocType | Volume | Issue |
Journal | 16 | 1.0 |
ISSN | Citations | PageRank |
1077-8926 | 0 | 0.34 |
References | Authors | |
2 | 1 | |