We survey recent results on the broad family of problems that can be cast as valued constraint satisfaction problems (VCSPs). We discuss general methods for analysing the complexity of such problems, give examples of tractable cases, and identify general features of the complexity landscape.
@InCollection{krokhin_et_al:DFU.Vol7.15301.233, author = {Krokhin, Andrei and Zivny, Stanislav}, title = {{The Complexity of Valued CSPs}}, booktitle = {The Constraint Satisfaction Problem: Complexity and Approximability}, pages = {233--266}, series = {Dagstuhl Follow-Ups}, ISBN = {978-3-95977-003-3}, ISSN = {1868-8977}, year = {2017}, volume = {7}, editor = {Krokhin, Andrei and Zivny, Stanislav}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DFU.Vol7.15301.233}, URN = {urn:nbn:de:0030-drops-69665}, doi = {10.4230/DFU.Vol7.15301.233}, annote = {Keywords: Constraint satisfaction problems, Optimisation, Tractability} }
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