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- W2100091010 abstract "Max-Sur-CSP is the following optimisation problem: given a set of constraints, find a surjective mapping of the variables to domain values that satisfies as many of the constraints as possible. Many natural problems, e.g. Minimum k-Cut (which has many different applications in a variety of fields) and Minimum Distance (which is an important problem in coding theory), can be expressed as Max-Sur-CSPs. We study Max-Sur-CSP on the two-element domain and determine the computational complexity for all constraint languages (families of allowed constraints). Our results show that the problem is solvable in polynomial time if the constraint language belongs to one of three classes, and NP-hard otherwise. An important part of our proof is a polynomial-time algorithm for enumerating all near-optimal solutions to a generalised minimum cut problem. This algorithm may be of independent interest." @default.
- W2100091010 created "2016-06-24" @default.
- W2100091010 creator A5090440693 @default.
- W2100091010 date "2012-01-01" @default.
- W2100091010 modified "2023-09-23" @default.
- W2100091010 title "Max-Sur-CSP on Two Elements" @default.
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- W2100091010 doi "https://doi.org/10.1007/978-3-642-33558-7_6" @default.
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