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AAAI
2007
13 years 10 months ago
Computational Complexity of Weighted Threshold Games
Weighted threshold games are coalitional games in which each player has a weight (intuitively corresponding to its voting power), and a coalition is successful if the sum of its w...
Edith Elkind, Leslie Ann Goldberg, Paul W. Goldber...
AICT
2005
IEEE
194views Communications» more  AICT 2005»
14 years 1 months ago
Approximations to Maximum Weight Matching Scheduling Algorithms of Low Complexity
The choice of the scheduling algorithm is a major design criteria of a switch. Whereas it is known that maximum weight matching algorithms guarantee the stability of an input queu...
Claus Bauer
ICTCS
2005
Springer
14 years 1 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...
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 29 days ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
AAAI
2008
13 years 10 months ago
Phase Transitions and Complexity of Weighted Satisfiability and Other Intractable Parameterized Problems
The study of random instances of NP complete and coNP complete problems has had much impact on our understanding of the nature of hard problems. In this work, we initiate an effor...
Yong Gao