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HPCC
2005
Springer
15 years 2 months ago
A Parallel Distance-2 Graph Coloring Algorithm for Distributed Memory Computers
Abstract. The distance-2 graph coloring problem aims at partitioning the vertex set of a graph into the fewest sets consisting of vertices pairwise at distance greater than two fro...
Doruk Bozdag, Ümit V. Çatalyürek,...
SIAMDM
2000
77views more  SIAMDM 2000»
14 years 9 months ago
Recognizing Perfect 2-Split Graphs
A graph is a split graph if its vertices can be partitioned into a clique and a stable set. A graph is a k-split graph if its vertices can be partitioned into k sets, each of which...
Chính T. Hoàng, Van Bang Le
IWPEC
2004
Springer
15 years 2 months ago
Parameterized Coloring Problems on Chordal Graphs
In the precoloring extension problem (PrExt) a graph is given with some of the vertices having a preassigned color and it has to be decided whether this coloring can be extended to...
Dániel Marx
STOC
2002
ACM
121views Algorithms» more  STOC 2002»
15 years 9 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
DAM
2006
91views more  DAM 2006»
14 years 9 months ago
Precoloring extension on unit interval graphs
In the precoloring extension problem we are given a graph with some of the vertices having a preassigned color and it has to be decided whether this coloring can be extended to a ...
Dániel Marx