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CPC
2006
110views more  CPC 2006»
14 years 9 months ago
Solving Sparse Random Instances of Max Cut and Max 2-CSP in Linear Expected Time
Abstract. We show that a maximum cut of a random graph below the giantcomponent threshold can be found in linear space and linear expected time by a simple algorithm. In fact, the ...
Alexander D. Scott, Gregory B. Sorkin
66
Voted
SODA
2003
ACM
125views Algorithms» more  SODA 2003»
14 years 11 months ago
Random MAX SAT, random MAX CUT, and their phase transitions
With random inputs, certain decision problems undergo a “phase transition”. We prove similar behavior in an optimization context. Given a conjunctive normal form (CNF) formula...
Don Coppersmith, David Gamarnik, Mohammad Taghi Ha...
ESA
2006
Springer
113views Algorithms» more  ESA 2006»
15 years 1 months ago
An LP-Designed Algorithm for Constraint Satisfaction
The class Max (r, 2)-CSP consists of constraint satisfaction problems with at most two r-valued variables per clause. For instances with n variables and m binary clauses, we presen...
Alexander D. Scott, Gregory B. Sorkin
COR
2006
82views more  COR 2006»
14 years 9 months ago
Semidefinite programming based approaches to the break minimization problem
This paper considers the break minimization problem in sports timetabling. The problem is to find, under a given timetable of a round-robin tournament, a home-away assignment that...
Ryuhei Miyashiro, Tomomi Matsui
IPL
2006
89views more  IPL 2006»
14 years 9 months ago
Optimal 2-constraint satisfaction via sum-product algorithms
We show that for a given set of m pairwise constraints over n variables, a variable assignment that satisfies maximally many m constraints (MAX-2-CSP) can be found in O(nm dn/3) t...
Mikko Koivisto