{"id":"https://openalex.org/W2056828017","doi":"https://doi.org/10.1016/s0304-3975(01)00149-9","title":"Statistical mechanics methods and phase transitions in optimization problems","display_name":"Statistical mechanics methods and phase transitions in optimization problems","publication_year":2001,"publication_date":"2001-08-01","ids":{"openalex":"https://openalex.org/W2056828017","doi":"https://doi.org/10.1016/s0304-3975(01)00149-9","mag":"2056828017"},"language":"en","primary_location":{"id":"doi:10.1016/s0304-3975(01)00149-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(01)00149-9","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cond-mat/0104428","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005002059","display_name":"Olivier Martin","orcid":"https://orcid.org/0000-0002-5295-5963"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Olivier C. Martin","raw_affiliation_strings":["LPTMS, Universit\u00e9 Paris-Sud, Orsay, France","Univ. Paris, Orsay, France#TAB#"],"affiliations":[{"raw_affiliation_string":"LPTMS, Universit\u00e9 Paris-Sud, Orsay, France","institution_ids":["https://openalex.org/I102197404"]},{"raw_affiliation_string":"Univ. Paris, Orsay, France#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016002177","display_name":"R\u00e9mi Monasson","orcid":"https://orcid.org/0000-0002-4459-0204"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R\u00e9mi Monasson","raw_affiliation_strings":["The James Franck Institute, The University of Chicago, Chicago, IL, USA","The University of Chicago, Chicago IL"],"affiliations":[{"raw_affiliation_string":"The James Franck Institute, The University of Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"The University of Chicago, Chicago IL","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041685522","display_name":"Riccardo Zecchina","orcid":"https://orcid.org/0000-0002-1221-5207"},"institutions":[{"id":"https://openalex.org/I12323705","display_name":"The Abdus Salam International Centre for Theoretical Physics (ICTP)","ror":"https://ror.org/009gyvm78","country_code":"IT","type":"facility","lineage":["https://openalex.org/I12323705","https://openalex.org/I1286959531","https://openalex.org/I1293226324","https://openalex.org/I2801247003"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Riccardo Zecchina","raw_affiliation_strings":["International Centre for Theoretical Physics, Trieste, Italy","International Centre for Theoretical Physics Trieste, Italy;"],"affiliations":[{"raw_affiliation_string":"International Centre for Theoretical Physics, Trieste, Italy","institution_ids":["https://openalex.org/I12323705"]},{"raw_affiliation_string":"International Centre for Theoretical Physics Trieste, Italy;","institution_ids":["https://openalex.org/I12323705"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005002059"],"corresponding_institution_ids":["https://openalex.org/I102197404"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":9.3588,"has_fulltext":false,"cited_by_count":163,"citation_normalized_percentile":{"value":0.98432251,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"265","issue":"1-2","first_page":"3","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9962999820709229,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"Statistical mechanics","score":0.7084354162216187},{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.6201769113540649},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.5922420024871826},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.5693672895431519},{"id":"https://openalex.org/keywords/combinatorial-optimization","display_name":"Combinatorial optimization","score":0.5586392879486084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5395177602767944},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5189076066017151},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4787251651287079},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.4416763186454773},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.42012184858322144},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3487805128097534},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26769357919692993},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25662869215011597},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1688181459903717},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10590210556983948}],"concepts":[{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.7084354162216187},{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.6201769113540649},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.5922420024871826},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.5693672895431519},{"id":"https://openalex.org/C52692508","wikidata":"https://www.wikidata.org/wiki/Q1333872","display_name":"Combinatorial optimization","level":2,"score":0.5586392879486084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5395177602767944},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5189076066017151},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4787251651287079},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.4416763186454773},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42012184858322144},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3487805128097534},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26769357919692993},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25662869215011597},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1688181459903717},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10590210556983948},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/s0304-3975(01)00149-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(01)00149-9","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:cond-mat/0104428","is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/0104428","pdf_url":"https://arxiv.org/pdf/cond-mat/0104428","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.242.2855","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.242.2855","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cond-mat/0104428v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.316.803","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.316.803","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lptms.u-psud.fr/ressources/publis/0104428.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00002418v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00002418","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theoretical Computer Science, 2001, 265, pp.3-67","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:cond-mat/0104428","is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/0104428","pdf_url":"https://arxiv.org/pdf/cond-mat/0104428","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5600000023841858,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":98,"referenced_works":["https://openalex.org/W4983232","https://openalex.org/W201222650","https://openalex.org/W568475229","https://openalex.org/W1504317671","https://openalex.org/W1508206977","https://openalex.org/W1510651616","https://openalex.org/W1530042113","https://openalex.org/W1551519020","https://openalex.org/W1621145279","https://openalex.org/W1633549751","https://openalex.org/W1650993530","https://openalex.org/W1679316768","https://openalex.org/W1683192234","https://openalex.org/W1772716870","https://openalex.org/W1930604537","https://openalex.org/W1963913579","https://openalex.org/W1964009083","https://openalex.org/W1964494631","https://openalex.org/W1965121855","https://openalex.org/W1965511886","https://openalex.org/W1968198053","https://openalex.org/W1969966778","https://openalex.org/W1971565000","https://openalex.org/W1972884424","https://openalex.org/W1973670813","https://openalex.org/W1979005517","https://openalex.org/W1979483474","https://openalex.org/W1981125795","https://openalex.org/W1983127429","https://openalex.org/W1984178196","https://openalex.org/W1986683861","https://openalex.org/W1999851970","https://openalex.org/W2003182747","https://openalex.org/W2004472922","https://openalex.org/W2006424894","https://openalex.org/W2011039300","https://openalex.org/W2014068360","https://openalex.org/W2017127020","https://openalex.org/W2018251959","https://openalex.org/W2020663070","https://openalex.org/W2022083710","https://openalex.org/W2024060531","https://openalex.org/W2029242918","https://openalex.org/W2036265926","https://openalex.org/W2038646960","https://openalex.org/W2038996833","https://openalex.org/W2039557216","https://openalex.org/W2040287193","https://openalex.org/W2048590482","https://openalex.org/W2048646384","https://openalex.org/W2053705342","https://openalex.org/W2053913299","https://openalex.org/W2054387247","https://openalex.org/W2055911890","https://openalex.org/W2059506221","https://openalex.org/W2060484774","https://openalex.org/W2062749672","https://openalex.org/W2063102449","https://openalex.org/W2069323107","https://openalex.org/W2071898543","https://openalex.org/W2074592422","https://openalex.org/W2091267739","https://openalex.org/W2093966655","https://openalex.org/W2106371135","https://openalex.org/W2122103820","https://openalex.org/W2136878842","https://openalex.org/W2138778293","https://openalex.org/W2144931885","https://openalex.org/W2148673189","https://openalex.org/W2151409764","https://openalex.org/W2154061444","https://openalex.org/W2158907280","https://openalex.org/W2159793005","https://openalex.org/W2165142526","https://openalex.org/W2167185799","https://openalex.org/W2343197801","https://openalex.org/W2404266688","https://openalex.org/W2582449852","https://openalex.org/W2905110430","https://openalex.org/W2951682774","https://openalex.org/W2951758740","https://openalex.org/W3004253659","https://openalex.org/W3023235665","https://openalex.org/W3106209630","https://openalex.org/W3106476290","https://openalex.org/W3115803356","https://openalex.org/W3123481344","https://openalex.org/W3143264742","https://openalex.org/W4206502013","https://openalex.org/W4213009134","https://openalex.org/W4254209065","https://openalex.org/W4285719527","https://openalex.org/W4300005723","https://openalex.org/W6600747648","https://openalex.org/W6607571859","https://openalex.org/W6633329937","https://openalex.org/W6660516073","https://openalex.org/W6665504643"],"related_works":["https://openalex.org/W2572756133","https://openalex.org/W1563568831","https://openalex.org/W2135149549","https://openalex.org/W4294358747","https://openalex.org/W1604040598","https://openalex.org/W2341709160","https://openalex.org/W2758988501","https://openalex.org/W1596059437","https://openalex.org/W3013791021","https://openalex.org/W2946024655"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}