Feb 5, 2013 · Abstract. We consider the weighted Bartholdi zeta function of a digraph D D , and give a new determinant expression of it.

A new determinant expression for the weighted Bartholdi zeta function of a digraph. A new determinant expression for the weighted Bartholdi zeta function of a ...

The Ihara expression of a weighted zeta function for a general finite digraph is given. It unifies all the Ihara expressions obtained for known zeta functions ...

Bartholdi [1] gave a determinant expression of the Bartholdi zeta function of a graph. Theorem 2 (Bartholdi). Let G be a connected graph with n vertices and m ...

We define a new weighted Bartholdi zeta function of a digraph with respect to a vertex weight and an arc weight, and present its determinant expression.

We define a new weighted zeta function for a finite digraph and obtain its determinant expression called the Ihara expression. The graph zeta function is a ...

... A New Determinant Expression for the Weighted Bartholdi Zeta Function of a Digraph | The Electronic Journal of Combinatorics </title> <meta name="generator ...

The Ihara expression of a weighted zeta function for a general finite digraph is given. It unifies all the Ihara expressions obtained for known zeta ...

Aug 20, 2007 · A New Determinant Expression for the Weighted Bartholdi Zeta Function of a Digraph ... zeta functions of Bartholdi type on finite digraphs.

Feb 12, 2022 · It is a determinant expression described by the adjacency matrix and the degree matrix of graphs, and have been one of the main interest in the ...