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COMBINATORICA
2000
105views more  COMBINATORICA 2000»
13 years 5 months ago
On Cayley Graphs on the Symmetric Group Generated by Tranpositions
Given a connected graph, X, we denote by 2 = 2(X) its smallest non-zero Laplacian eigenvalue. In this paper we show that among all sets of n - 1 transpositions which generate the ...
Joel Friedman
IJAC
2008
97views more  IJAC 2008»
13 years 6 months ago
Random Generation of Finitely Generated Subgroups of a Free Group
We give an efficient algorithm to randomly generate finitely generated subgroups of a given size, in a finite rank free group. Here, the size of a subgroup is the number of vertic...
Frédérique Bassino, Cyril Nicaud, Pa...
COMBINATORICS
2002
85views more  COMBINATORICS 2002»
13 years 5 months ago
Parking Functions of Types A and B
The lattice of noncrossing partitions can be embedded into the Cayley graph of the symmetric group. This allows us to rederive connections between noncrossing partitions and parki...
Philippe Biane
COMBINATORICS
1998
79views more  COMBINATORICS 1998»
13 years 5 months ago
A Note on Constructing Large Cayley Graphs of Given Degree and Diameter by Voltage Assignments
Voltage graphs are a powerful tool for constructing large graphs (called lifts) with prescribed properties as covering spaces of small base graphs. This makes them suitable for ap...
Ljiljana Brankovic, Mirka Miller, Ján Plesn...
JCT
2007
64views more  JCT 2007»
13 years 5 months ago
Distance-regular Cayley graphs on dihedral groups
Stefko Miklavic, Primoz Potocnik