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STOC
2004
ACM
134views Algorithms» more  STOC 2004»
16 years 28 days ago
The two possible values of the chromatic number of a random graph
Given d (0, ) let kd be the smallest integer k such that d < 2k log k. We prove that the chromatic number of a random graph G(n, d/n) is either kd or kd + 1 almost surely.
Dimitris Achlioptas, Assaf Naor
STOC
2004
ACM
142views Algorithms» more  STOC 2004»
16 years 28 days ago
Lower bounds for local search by quantum arguments
The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hype...
Scott Aaronson