Title
Not every uniform tree covers Ramanujan graphs
Abstract
The notion of Ramanujan graph has been extended to not necessarily regular graphs by Y. Greenberg. We construct infinite trees with infinitely many finite quotients, none of which is Ramanujan. We give a sufficient condition for a finite graph to be covered by such a tree.
Year
DOI
Venue
1998
10.1006/jctb.1998.1843
J. Comb. Theory, Ser. B
Keywords
Field
DocType
uniform tree,minimal graph,spectral radius,ramanujan graph,covering tree,regular graph
Block graph,Discrete mathematics,Combinatorics,Strongly regular graph,Ramanujan's sum,Forbidden graph characterization,Regular graph,Symmetric graph,Universal graph,Mathematics,Ramanujan graph
Journal
Volume
Issue
ISSN
74
2
Journal of Combinatorial Theory, Series B
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Alexander Lubotzky123143.47
Tatiana Nagnibeda262.19