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» Randomized Algorithms for 3-SAT
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STOC
2004
ACM
89views Algorithms» more  STOC 2004»
16 years 2 months ago
Hit-and-run from a corner
We show that the hit-and-run random walk mixes rapidly starting from any interior point of a convex body. This is the first random walk known to have this property. In contrast, t...
László Lovász, Santosh Vempal...
STOC
2002
ACM
121views Algorithms» more  STOC 2002»
16 years 2 months ago
Almost all graphs with average degree 4 are 3-colorable
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
Dimitris Achlioptas, Cristopher Moore
IWOCA
2009
Springer
133views Algorithms» more  IWOCA 2009»
15 years 8 months ago
The Height and Range of Watermelons without Wall
d abstract) Thomas Feierl⋆ Fakult¨at f¨ur Mathematik Universit¨at Wien Nordbergstr. 15 1090 Wien, Austria Abstract. We determine the weak limit of the distribution of the rand...
Thomas Feierl
ISAAC
2010
Springer
266views Algorithms» more  ISAAC 2010»
14 years 12 months ago
Structural and Complexity Aspects of Line Systems of Graphs
We study line systems in metric spaces induced by graphs. A line is a subset of vertices defined by a relation of betweeness. We show that the class of all graphs having exactly k ...
Jozef Jirásek, Pavel Klavík
COCOON
2009
Springer
15 years 8 months ago
Sublinear-Time Algorithms for Tournament Graphs
We show that a random walk on a tournament on n vertices finds either a sink or a 3-cycle in expected time O √ n · log n · log∗ n , that is, sublinear both in the size of th...
Stefan S. Dantchev, Tom Friedetzky, Lars Nagel