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The Complexity of Valued Constraint Satisfaction Problems

Author: Stanislav Živný
Publisher: Dordrecht : Springer, 2012.
Series: Cognitive technologies.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
The topic of this book is the following optimisation problem: given a set of discrete variables and a set of functions, each depending on a subset of the variables, minimise the sum of the functions over all variables. This fundamental research problem has been studied within several different contexts of discrete mathematics, computer science and artificial intelligence under different names: Min-Sum problems, MAP  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Stanislav Živný
ISBN: 9783642339745 3642339743
OCLC Number: 823386654
Notes: Description based upon print version of record.
Description: 1 online resource (175 p.)
Contents: Background --
Expressive power --
Expressibility of valued constraints --
Expressibility of fixed-Arity languages --
Expressibility of submodular languages --
Non-expressibility of submodular languages --
Tractability --
Tractable languages --
Conservative languages --
The power of linear programming --
Hybrid tractability --
Summary and open problems.
Series Title: Cognitive technologies.
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Abstract:

This book presents general methods for analysing the complexity of optimisation problems cast as valued constraint satisfaction problems (VCSPs). It is an ideal resource for researchers in constraint  Read more...

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From the reviews: "The book is concerned with valued constraint satisfaction problems with finite domains, i. e., the problem of minimising the sum of functions that each depend on some subset of a Read more...

 
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