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» On Cayley Graphs on the Symmetric Group Generated by Tranpos...
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FOCS
2009
IEEE
14 years 4 months ago
KKL, Kruskal-Katona, and Monotone Nets
We generalize the Kahn-Kalai-Linial (KKL) Theorem to random walks on Cayley and Schreier graphs, making progress on an open problem of Hoory, Linial, and Wigderson. In our general...
Ryan O'Donnell, Karl Wimmer
TOC
2010
147views Management» more  TOC 2010»
13 years 4 months ago
Quantum Expanders: Motivation and Construction
: We define quantum expanders in a natural way and give two constructions of quantum expanders, both based on classical expander constructions. The first construction is algebraic,...
Avraham Ben-Aroya, Oded Schwartz, Amnon Ta-Shma
COCO
2008
Springer
118views Algorithms» more  COCO 2008»
13 years 11 months ago
Quantum Expanders: Motivation and Constructions
: We define quantum expanders in a natural way. We give two constructions of quantum expanders, both based on classical expander constructions. The first construction is algebraic,...
Avraham Ben-Aroya, Oded Schwartz, Amnon Ta-Shma
CORR
2008
Springer
149views Education» more  CORR 2008»
13 years 10 months ago
Phase Transitions on Fixed Connected Graphs and Random Graphs in the Presence of Noise
In this paper, we study phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a...
Jialing Liu, Vikas Yadav, Hullas Sehgal, Joshua M....
IJAC
2007
116views more  IJAC 2007»
13 years 9 months ago
On the Complexity of the Whitehead Minimization Problem
The Whitehead minimization problem consists in finding a minimum size element in the automorphic orbit of a word, a cyclic word or a finitely generated subgroup in a finite rank...
Abdó Roig, Enric Ventura, Pascal Weil