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» Coloring Weighted Series-Parallel Graphs
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SODA
2008
ACM
84views Algorithms» more  SODA 2008»
14 years 10 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...
COMGEO
2004
ACM
14 years 9 months ago
The weighted farthest color Voronoi diagram on trees and graphs
Let n point sites be situated on the vertices or edges of a geometric graph G over e edges. Each site can be assigned a multiplicative weight and a color. We discuss the complexit...
Ferran Hurtado, Rolf Klein, Elmar Langetepe, Vera ...
ICTCS
2005
Springer
15 years 2 months ago
Weighted Coloring: Further Complexity and Approximability Results
Given a vertex-weighted graph G = (V, E; w), w(v) ≥ 0 for any v ∈ V , we consider a weighted version of the coloring problem which consists in finding a partition S = (S1, . ...
Bruno Escoffier, Jérôme Monnot, Vange...
WG
2004
Springer
15 years 2 months ago
Coloring a Graph Using Split Decomposition
We show how to use split decomposition to compute the weighted clique number and the chromatic number of a graph and we apply these results to some classes of graphs. In particular...
Michaël Rao
99
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APPROX
2006
Springer
88views Algorithms» more  APPROX 2006»
15 years 1 months ago
Weighted Sum Coloring in Batch Scheduling of Conflicting Jobs
Motivated by applications in batch scheduling of jobs in manufacturing systems and distributed computing, we study two related problems. Given is a set of jobs {J1, . . . , Jn}, w...
Leah Epstein, Magnús M. Halldórsson,...