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SIAMDM
2000
77views more  SIAMDM 2000»
13 years 7 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
14 years 26 days 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»
14 years 7 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»
13 years 7 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
DAM
2010
116views more  DAM 2010»
13 years 7 months ago
Minimum sum edge colorings of multicycles
In the minimum sum edge coloring problem, we aim to assign natural numbers to edges of a graph, so that adjacent edges receive different numbers, and the sum of the numbers assign...
Jean Cardinal, Vlady Ravelomanana, Mario Valencia-...