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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 3 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 10 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
DAM
2010
116views more  DAM 2010»
14 years 9 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-...