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» Complexity of the Cover Polynomial
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DCG
2008
69views more  DCG 2008»
15 years 6 months ago
On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities
Let S Rk+m be a compact semi-algebraic set defined by P1 0, . . . , P 0, where Pi R[X1, . . . , Xk, Y1, . . . , Ym], and deg(Pi) 2, 1 i . Let denote the standard projection f...
Saugata Basu, Thierry Zell
ECCC
2006
109views more  ECCC 2006»
15 years 6 months ago
How to rank with few errors: A PTAS for Weighted Feedback Arc Set on Tournaments
Suppose you ran a chess tournament, everybody played everybody, and you wanted to use the results to rank everybody. Unless you were really lucky, the results would not be acyclic...
Claire Kenyon-Mathieu, Warren Schudy
CORR
2007
Springer
99views Education» more  CORR 2007»
15 years 6 months ago
A parametric representation of totally mixed Nash equilibria
We present an algorithm to compute a parametric description of the totally mixed Nash equilibria of a generic game in normal form with a fixed structure. Using this representatio...
Gabriela Jeronimo, Daniel Perrucci, Juan Sabia
DCG
2007
58views more  DCG 2007»
15 years 6 months ago
Harmonic Algebraic Curves and Noncrossing Partitions
Motivated by Gauss’s first proof of the Fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bou...
Jeremy L. Martin, David Savitt, Ted Singer
TVCG
2008
135views more  TVCG 2008»
15 years 6 months ago
A Fast and Stable Penalty Method for Rigid Body Simulation
Two methods have been used extensively to model resting contact for rigid body simulation. The first approach, the penalty method, applies virtual springs to surfaces in contact to...
Evan Drumwright