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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
MOC
1998
65views more  MOC 1998»
15 years 6 months ago
Solving constrained Pell equations
Consider the system of Diophantine equations x2 − ay2 = b, P (x, y) = z2, where P is a given integer polynomial. Historically, such systems have been analyzed by using Baker’s ...
Kiran S. Kedlaya
ICALP
2011
Springer
14 years 10 months ago
New Algorithms for Learning in Presence of Errors
We give new algorithms for a variety of randomly-generated instances of computational problems using a linearization technique that reduces to solving a system of linear equations...
Sanjeev Arora, Rong Ge
AAMAS
2012
Springer
14 years 2 months ago
Winner determination in voting trees with incomplete preferences and weighted votes
In multiagent settings where agents have different preferences, preference aggregation can be an important issue. Voting is a general method to aggregate preferences. We consider ...
Jérôme Lang, Maria Silvia Pini, Franc...
ECCC
2006
145views more  ECCC 2006»
15 years 6 months ago
Constraint satisfaction: a personal perspective
Attempts at classifying computational problems as polynomial time solvable, NP-complete, or belonging to a higher level in the polynomial hierarchy, face the difficulty of undecid...
Tomás Feder