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ECCC
2006
109views more  ECCC 2006»
13 years 10 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»
13 years 9 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
13 years 1 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
12 years 5 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»
13 years 10 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