Ayaka Ishikawa, Hideaki Morita
Published 2022-10-24Version 1
We consider the generalized weighted zeta function for a finite digraph, and show that it has the Ihara expression, a determinant expression of graph zeta functions, with a certain specified definition for inverse arcs. A finite digraph in this paper allows multi-arcs or multi-loops.
The Ihara expression of a generalization of the weighted zeta function on a finite digraph
A family of quantum walks on a finite graph corresponding to the generalized weighted zeta function
The Ihara expression for generalized weighted zeta functions of Bartholdi type on finite digraphs
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