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» On perfectness of sums of graphs
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SODA
2008
ACM
84views Algorithms» more  SODA 2008»
13 years 7 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...
SIAMDM
2000
77views more  SIAMDM 2000»
13 years 6 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
WG
2001
Springer
13 years 10 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»
13 years 6 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
DAM
2008
63views more  DAM 2008»
13 years 6 months ago
Skew partitions in perfect graphs
We discuss some new and old results about skew partitions in perfect graphs.
Bruce A. Reed