Title
On the weighted complexity of a regular covering of a graph
Abstract
We consider the weighted complexity of a graph G, and present a generalization of Northshield's Theorem on the complexity of G. Furthermore, we give an explicit formula for the weighted complexity of a regular covering H of G in terms of that of G and a product of determinants over the all distinct irreducible representations of the covering transformation group of H.
Year
DOI
Venue
2003
10.1016/S0095-8956(03)00041-8
J. Comb. Theory, Ser. B
Keywords
Field
DocType
transformation group,distinct irreducible representation,weighted complexity,laplacian matrix,graph covering,complexity,explicit formula,graph g,irreducible representation
Discrete mathematics,Combinatorics,Strongly regular graph,Line graph,Edge-transitive graph,Graph factorization,Regular graph,Distance-regular graph,Covering graph,Voltage graph,Mathematics
Journal
Volume
Issue
ISSN
89
1
Journal of Combinatorial Theory, Series B
Citations 
PageRank 
References 
2
0.48
4
Authors
2
Name
Order
Citations
PageRank
Hirobumi Mizuno18018.63
Iwao Sato27522.91