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CPC
2006
110views more  CPC 2006»
13 years 7 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
SODA
2003
ACM
125views Algorithms» more  SODA 2003»
13 years 8 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»
13 years 11 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»
13 years 7 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»
13 years 7 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