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» The Complexity of Polynomial-Time Approximation
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MFCS
2005
Springer
14 years 1 months ago
Coloring Sparse Random k-Colorable Graphs in Polynomial Expected Time
Abstract. Feige and Kilian [5] showed that finding reasonable approximative solutions to the coloring problem on graphs is hard. This motivates the quest for algorithms that eithe...
Julia Böttcher
FOCM
2008
76views more  FOCM 2008»
13 years 7 months ago
On Smale's 17th Problem: A Probabilistic Positive Solution
Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
Carlos Beltrán, Luis Miguel Pardo
COCO
2004
Springer
147views Algorithms» more  COCO 2004»
13 years 11 months ago
The Complexity of the Covering Radius Problem on Lattices and Codes
We initiate the study of the computational complexity of the covering radius problem for point lattices, and approximation versions of the problem for both lattices and linear cod...
Venkatesan Guruswami, Daniele Micciancio, Oded Reg...
CORR
2008
Springer
137views Education» more  CORR 2008»
13 years 7 months ago
On the Complexity of Nash Equilibria of Action-Graph Games
Abstract. We consider the problem of computing Nash Equilibria of action-graph games (AGGs). AGGs, introduced by Bhat and Leyton-Brown, is a succinct representation of games that e...
Constantinos Daskalakis, Grant Schoenebeck, Gregor...
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 26 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, ...