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» On perfectness of sums of graphs
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91
Voted
SODA
2008
ACM
84views Algorithms» more  SODA 2008»
14 years 11 months ago
Robust cost colorings
We consider graph coloring problems where the cost of a coloring is the sum of the costs of the colors, and the cost of a color is a monotone concave function of the total weight ...
Takuro Fukunaga, Magnús M. Halldórss...
69
Voted
SIAMDM
2000
77views more  SIAMDM 2000»
14 years 10 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
74
Voted
WG
2001
Springer
15 years 2 months ago
Critical and Anticritical Edges in Perfect Graphs
We call an edge e of a perfect graph G critical if G − e is imperfect and say further that e is anticritical with respect to the complementary graph G. We ask in which perfect gr...
Annegret Wagler
DM
1998
100views more  DM 1998»
14 years 10 months ago
Upper domination and upper irredundance perfect graphs
Let β(G), Γ(G) and IR(G) be the independence number, the upper domination number and the upper irredundance number, respectively. A graph G is called Γperfect if β(H) = Γ(H),...
Gregory Gutin, Vadim E. Zverovich
65
Voted
DAM
2008
63views more  DAM 2008»
14 years 10 months ago
Skew partitions in perfect graphs
We discuss some new and old results about skew partitions in perfect graphs.
Bruce A. Reed