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» Randomized Algorithms for 3-SAT
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STOC
2004
ACM
89views Algorithms» more  STOC 2004»
16 years 6 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 6 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»
16 years 27 days 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»
15 years 4 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
16 years 27 days 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