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» Randomness, lowness and degrees
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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
STOC
2007
ACM
110views Algorithms» more  STOC 2007»
16 years 6 months ago
Randomly coloring planar graphs with fewer colors than the maximum degree
Thomas P. Hayes, Juan Carlos Vera, Eric Vigoda
CPC
2008
60views more  CPC 2008»
15 years 6 months ago
On the Maximum Degree of a Random Planar Graph
Colin McDiarmid, Bruce A. Reed
CPC
2002
76views more  CPC 2002»
15 years 5 months ago
Random Regular Graphs Of Non-Constant Degree: Independence And Chromatic Number
Colin Cooper, Alan M. Frieze, Bruce A. Reed, Olive...