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CORR
2010
Springer
65views Education» more  CORR 2010»
13 years 7 months ago
Statistical properties of subgroups of free groups
The usual way to investigate the statistical properties of finitely generated subgroups of free groups, and of finite presentations of groups, is based on the so-called word-based ...
Frédérique Bassino, Armando Martino,...
CPC
2006
110views more  CPC 2006»
13 years 7 months ago
Bootstrap Percolation on Infinite Trees and Non-Amenable Groups
Abstract. Bootstrap percolation on an arbitrary graph has a random initial configuration, where each vertex is occupied with probability p, independently of each other, and a deter...
József Balogh, Yuval Peres, Gábor Pe...
LICS
2010
IEEE
13 years 6 months ago
Highly Acyclic Groups, Hypergraph Covers and the Guarded Fragment
We construct finite groups whose Cayley graphs have large girth even w.r.t. a discounted distance measure that contracts arbitrarily long sequences of edges from the same colour ...
Martin Otto
WG
1998
Springer
13 years 11 months ago
Integral Uniform Flows in Symmetric Networks
We study the integral uniform (multicommodity) flow problem in a graph G and construct a fractional solution whose properties are invariant under the action of a group of automorp...
Farhad Shahrokhi, László A. Sz&eacut...
STOC
2004
ACM
157views Algorithms» more  STOC 2004»
14 years 7 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson