The scattering matrix of a graph
type: Item
instance of: scholarly article
title: The scattering matrix of a graph
zbMATH Open document ID: 1163.05326
author: Hirobumi Mizuno
author: Iwao Sato
published in: The Electronic Journal of Combinatorics
publication date: 2009-04-07T00:00:00Z
full work available at URL: https://eudml.org/doc/129983
full work available at URL: v15i1r96.html
review text: Summary: Recently, Smilansky expressed the determinant of the bond scattering matrix of a graph by means of the determinant of its Laplacian. We present another proof for this Smilansky's formula by using some weighted zeta function of a graph. Furthermore, we reprove a weighted version of Smilansky's formula by Bass' method used in the determinant expression for the Ihara zeta function of a graph.
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 5541001
zbMATH Keywords: bond scattering matrix of a graph
zbMATH Keywords: determinant of its Laplacian
zbMATH Keywords: Smilansky formula
zbMATH Keywords: Bass method
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5541001