Title
Scattering matrices of regular coverings of graphs
Abstract
We give a decomposition formula for the determinant on the bond scattering matrix of a regular covering of G. Furthermore, we define an L-function of G, and give a determinant expression of it. As a corollary, we express the determinant on the bond scattering matrix of a regular covering of G by means of its L-functions.
Year
DOI
Venue
2010
10.1016/j.disc.2009.09.009
Discrete Mathematics
Keywords
Field
DocType
laplacian matrix,scattering matrix,graph covering,l -function,l-function,l
Determinant,Minor (linear algebra),Discrete mathematics,Laplacian matrix,Hadamard's maximal determinant problem,Combinatorics,L-function,Jacobian matrix and determinant,Matrix (mathematics),Scattering,Mathematics
Journal
Volume
Issue
ISSN
310
4
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Hirobumi Mizuno18018.63
Iwao Sato27522.91