{"id":"https://openalex.org/W2008809414","doi":"https://doi.org/10.1145/2151171.2151182","title":"On the hardness of losing weight","display_name":"On the hardness of losing weight","publication_year":2012,"publication_date":"2012-04-01","ids":{"openalex":"https://openalex.org/W2008809414","doi":"https://doi.org/10.1145/2151171.2151182","mag":"2008809414"},"language":"en","primary_location":{"id":"doi:10.1145/2151171.2151182","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2151171.2151182","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://durham-repository.worktribe.com/output/1523955","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003558662","display_name":"Andrei Krokhin","orcid":"https://orcid.org/0000-0003-4373-8227"},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrei Krokhin","raw_affiliation_strings":["Durham University, UK","Durham University,,UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Durham University, UK","institution_ids":["https://openalex.org/I190082696"]},{"raw_affiliation_string":"Durham University,,UK","institution_ids":["https://openalex.org/I190082696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012849997","display_name":"D\u00e1niel Marx","orcid":"https://orcid.org/0000-0002-5686-8314"},"institutions":[{"id":"https://openalex.org/I29770179","display_name":"Budapest University of Technology and Economics","ror":"https://ror.org/02w42ss30","country_code":"HU","type":"education","lineage":["https://openalex.org/I29770179"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"D\u00e1niel Marx","raw_affiliation_strings":["Budapest University of Technology and Economics, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Budapest University of Technology and Economics, Hungary","institution_ids":["https://openalex.org/I29770179"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3999,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.92335002,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"8","issue":"2","first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.9434865117073059},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6990654468536377},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.6620922684669495},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.5975049138069153},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5170222520828247},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5128672122955322},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5077767968177795},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.4978470802307129},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43562763929367065},{"id":"https://openalex.org/keywords/constraint-satisfaction-dual-problem","display_name":"Constraint satisfaction dual problem","score":0.41652244329452515},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.3372533917427063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20870667695999146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19667908549308777},{"id":"https://openalex.org/keywords/local-consistency","display_name":"Local consistency","score":0.12237921357154846},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09312769770622253}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.9434865117073059},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6990654468536377},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.6620922684669495},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.5975049138069153},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5170222520828247},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5128672122955322},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5077767968177795},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.4978470802307129},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43562763929367065},{"id":"https://openalex.org/C183046576","wikidata":"https://www.wikidata.org/wiki/Q5164380","display_name":"Constraint satisfaction dual problem","level":5,"score":0.41652244329452515},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.3372533917427063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20870667695999146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19667908549308777},{"id":"https://openalex.org/C137105694","wikidata":"https://www.wikidata.org/wiki/Q3407510","display_name":"Local consistency","level":4,"score":0.12237921357154846},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09312769770622253},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2151171.2151182","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2151171.2151182","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:durham-repository.worktribe.com:1523955","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1523955","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:durham-repository.worktribe.com:1523955","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1523955","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4058446864","display_name":null,"funder_award_id":"EP/C543831/1 and EP/C54384X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G915640266","display_name":null,"funder_award_id":"PARAMTIGHT (280152)","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W18803657","https://openalex.org/W36639738","https://openalex.org/W184791457","https://openalex.org/W1500660230","https://openalex.org/W1539964999","https://openalex.org/W1549911281","https://openalex.org/W1562734116","https://openalex.org/W1570425181","https://openalex.org/W1571873445","https://openalex.org/W1709918996","https://openalex.org/W2000321198","https://openalex.org/W2007385106","https://openalex.org/W2017695771","https://openalex.org/W2027506801","https://openalex.org/W2037963188","https://openalex.org/W2068190866","https://openalex.org/W2072008504","https://openalex.org/W2085138240","https://openalex.org/W2103981148","https://openalex.org/W2106371135","https://openalex.org/W2107918022","https://openalex.org/W2165930352","https://openalex.org/W2166566648","https://openalex.org/W2171680292","https://openalex.org/W2400833781","https://openalex.org/W2436071425","https://openalex.org/W2485686944","https://openalex.org/W2810799211","https://openalex.org/W2913688336","https://openalex.org/W4211101340","https://openalex.org/W4243835908","https://openalex.org/W4292230561"],"related_works":["https://openalex.org/W1593899949","https://openalex.org/W2730435414","https://openalex.org/W1983679212","https://openalex.org/W3013281356","https://openalex.org/W3013014543","https://openalex.org/W2152615855","https://openalex.org/W2949869577","https://openalex.org/W4293398456","https://openalex.org/W2550245617","https://openalex.org/W2008809414"],"abstract_inverted_index":{"We":[0,57],"study":[1],"the":[2,8,15,33,54,59,105],"complexity":[3],"of":[4,26,65,79,82,93],"local":[5],"search":[6],"for":[7],"Boolean":[9],"constraint":[10],"satisfaction":[11],"problem":[12],"(CSP),":[13],"in":[14],"following":[16],"form:":[17],"given":[18,51],"a":[19,24,29,39,50,69,76,90],"CSP":[20],"instance,":[21],"that":[22,73,87,96],"is,":[23,74],"collection":[25],"constraints,":[27],"and":[28,63],"solution":[30,48],"to":[31],"it,":[32],"question":[34],"is":[35,38,89],"whether":[36],"there":[37,88],"better":[40],"(lighter,":[41],"i.e.,":[42],"having":[43],"strictly":[44],"less":[45],"Hamming":[46],"weight)":[47],"within":[49],"distance":[52],"from":[53],"initial":[55],"solution.":[56],"classify":[58],"complexity,":[60],"both":[61],"classical":[62],"parameterized,":[64],"such":[66,94],"problems":[67,95],"by":[68,104],"Schaefer-style":[70],"dichotomy":[71],"result,":[72],"with":[75],"restricted":[77],"set":[78],"allowed":[80],"types":[81],"constraints.":[83],"Our":[84],"results":[85],"show":[86],"considerable":[91],"amount":[92],"are":[97],"NP-hard,":[98],"but":[99],"fixed-parameter":[100],"tractable":[101],"when":[102],"parameterized":[103],"distance.":[106]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
