Title
Weighted spanning trees on some self-similar graphs
Abstract
We compute the complexity of two infinite families of finite graphs: the Sierpinski graphs, which are finite approximations of the well-known Sierpinski gasket, and the Schreier graphs of the Hanoi Towers group H-(3) acting on the rooted ternary tree. For both of them, we study the weighted generating functions of the spanning trees, associated with several natural labellings of the edge sets.
Year
DOI
Venue
2011
10.37236/503
ELECTRONIC JOURNAL OF COMBINATORICS
Keywords
Field
DocType
schreier graph. 1,self-similar group,generating function,self-similar graph,weight function,. spanning tree,group theory,spanning tree
Generating function,Discrete mathematics,Combinatorics,Skew,Young tableau,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
18.0
1.0
1077-8926
Citations 
PageRank 
References 
5
0.48
4
Authors
2
Name
Order
Citations
PageRank
Daniele D'Angeli1297.01
Alfredo Donno2278.03