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ALGORITHMICA
2007
93views more  ALGORITHMICA 2007»
13 years 8 months ago
Random 2-SAT with Prescribed Literal Degrees
Two classic “phase transitions” in discrete mathematics are the emergence of a giant component in a random graph as the density of edges increases, and the transition of a rand...
Colin Cooper, Alan M. Frieze, Gregory B. Sorkin
APPROX
2006
Springer
130views Algorithms» more  APPROX 2006»
14 years 6 days ago
Robust Mixing
In this paper, we develop a new "robust mixing" framework for reasoning about adversarially modified Markov Chains (AMMC). Let P be the transition matrix of an irreducib...
Murali K. Ganapathy
CORR
2011
Springer
144views Education» more  CORR 2011»
13 years 7 days ago
Analyzing Walksat on random formulas
Let Φ be a uniformly distributed random k-SAT formula with n variables and m clauses. We prove that the Walksat algorithm from [16, 17] finds a satisfying assignment of Φ in pol...
Amin Coja-Oghlan, Alan M. Frieze
CORR
2007
Springer
120views Education» more  CORR 2007»
13 years 8 months ago
Random subcubes as a toy model for constraint satisfaction problems
We present an exactly solvable random-subcube model inspired by the structure of hard constraint satisfaction and optimization problems. Our model reproduces the structure of the s...
Thierry Mora, Lenka Zdeborová
INFOCOM
2011
IEEE
12 years 12 months ago
Pricing-based spectrum access control in cognitive radio networks with random access
Abstract—Market-based mechanisms offer promising approaches for spectrum access in cognitive radio networks. In this paper, we focus on two market models, one with a monopoly pri...
Lei Yang, Hongseok Kim, Junshan Zhang, Mung Chiang...