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 present an (O) over tilde (r(19m/100))-time algorithm. It is the fastest algorithm for most problems in the class (including M...

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Bibliographic Details
Main Authors: Scott, A, Sorkin, G
Format: Conference item
Published: 2006
Description
Summary: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 present an (O) over tilde (r(19m/100))-time algorithm. It is the fastest algorithm for most problems in the class (including Max Cut and Max 2-Sat), and in combination with "Generalized CSPs" introduced in a companion paper, also allows counting, sampling; and the solution of problems like Max Bisection that escape the usual CSP framework. Linear programming is key to the design as well as the analysis of the algorithm.