{"id":"https://openalex.org/W2161032864","doi":"https://doi.org/10.1145/1389095.1389204","title":"A study of NK landscapes' basins and local optima networks","display_name":"A study of NK landscapes' basins and local optima networks","publication_year":2008,"publication_date":"2008-07-12","ids":{"openalex":"https://openalex.org/W2161032864","doi":"https://doi.org/10.1145/1389095.1389204","mag":"2161032864"},"language":"en","primary_location":{"id":"doi:10.1145/1389095.1389204","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1389095.1389204","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 10th annual conference on Genetic and evolutionary computation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0810.3484","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090624529","display_name":"Gabriela Ochoa","orcid":"https://orcid.org/0000-0001-7649-5669"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Gabriela Ochoa","raw_affiliation_strings":["University of Nottingham, Nottingham, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Nottingham, Nottingham, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077231672","display_name":"Marco Tomassini","orcid":"https://orcid.org/0000-0002-9571-0683"},"institutions":[{"id":"https://openalex.org/I97565354","display_name":"University of Lausanne","ror":"https://ror.org/019whta54","country_code":"CH","type":"education","lineage":["https://openalex.org/I97565354"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Marco Tomassini","raw_affiliation_strings":["University of Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"University of Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I97565354"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078220546","display_name":"Seb\u00e1stien V\u00e9rel","orcid":"https://orcid.org/0000-0003-1661-4093"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Seb\u00e1stien V\u00e9rel","raw_affiliation_strings":["CNRS-University of Nice, Sophia Antipolis, France"],"affiliations":[{"raw_affiliation_string":"CNRS-University of Nice, Sophia Antipolis, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029702386","display_name":"Christian Darabos","orcid":"https://orcid.org/0000-0002-8411-1693"},"institutions":[{"id":"https://openalex.org/I97565354","display_name":"University of Lausanne","ror":"https://ror.org/019whta54","country_code":"CH","type":"education","lineage":["https://openalex.org/I97565354"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Christian Darabos","raw_affiliation_strings":["University of Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"University of Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I97565354"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090624529"],"corresponding_institution_ids":["https://openalex.org/I142263535"],"apc_list":null,"apc_paid":null,"fwci":3.6535,"has_fulltext":false,"cited_by_count":178,"citation_normalized_percentile":{"value":0.93323326,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"555","last_page":"562"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9912999868392944,"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/maxima","display_name":"Maxima","score":0.7873461246490479},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.5896288752555847},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.5554124116897583},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.5487842559814453},{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.5135464668273926},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4930548369884491},{"id":"https://openalex.org/keywords/degree-distribution","display_name":"Degree distribution","score":0.49018388986587524},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.47468897700309753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44540420174598694},{"id":"https://openalex.org/keywords/fitness-landscape","display_name":"Fitness landscape","score":0.4417167603969574},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4351765811443329},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4265117049217224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3838081955909729},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3334349989891052},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32598766684532166},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.31456851959228516},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2823268175125122},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2766556143760681},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18257451057434082},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1757603883743286}],"concepts":[{"id":"https://openalex.org/C91528185","wikidata":"https://www.wikidata.org/wiki/Q520952","display_name":"Maxima","level":3,"score":0.7873461246490479},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.5896288752555847},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.5554124116897583},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.5487842559814453},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.5135464668273926},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4930548369884491},{"id":"https://openalex.org/C87414783","wikidata":"https://www.wikidata.org/wiki/Q1002603","display_name":"Degree distribution","level":3,"score":0.49018388986587524},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.47468897700309753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44540420174598694},{"id":"https://openalex.org/C91852762","wikidata":"https://www.wikidata.org/wiki/Q3307742","display_name":"Fitness landscape","level":3,"score":0.4417167603969574},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4351765811443329},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4265117049217224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3838081955909729},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3334349989891052},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32598766684532166},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.31456851959228516},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2823268175125122},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2766556143760681},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18257451057434082},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1757603883743286},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","level":1,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C554144382","wikidata":"https://www.wikidata.org/wiki/Q213156","display_name":"Performance art","level":2,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1145/1389095.1389204","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1389095.1389204","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 10th annual conference on Genetic and evolutionary computation","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:0810.3484","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0810.3484","pdf_url":"https://arxiv.org/pdf/0810.3484","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.153.872","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.872","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.bham.ac.uk/~wbl/biblio/gecco2008/docs/p555.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.205.5776","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.205.5776","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.nott.ac.uk/%7Egxo/papers/t07pap218-ochoa.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.371.1882","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.371.1882","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.archives-ouvertes.fr/docs/00/33/18/68/PDF/t07pap218-ochoa.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.656.7401","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.656.7401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-00331868/document/","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00331868v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00331868","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Genetic And Evolutionary Computation Conference, Jul 2008, Atlanta, United States. pp.555--562, ⟨10.1145/1389095.1389204⟩","raw_type":"Conference papers"},{"id":"pmh:oai:iris.unil.ch:iris/157839","is_oa":false,"landing_page_url":"https://iris.unil.ch/handle/iris/157839","pdf_url":null,"source":{"id":"https://openalex.org/S7407055444","display_name":"IRIS","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference paper"},{"id":"pmh:oai:serval.unil.ch:BIB_8B4F82F559E0","is_oa":false,"landing_page_url":"https://serval.unil.ch/notice/serval:BIB_8B4F82F559E0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401797","display_name":"SERVAL (Universit\u00e9 de Lausanne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210093590","host_organization_name":"Swiss School of Archaeology in Greece","host_organization_lineage":["https://openalex.org/I4210093590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the genetic and evolutionary computation conference GECCO '08, pp. 555 - 562","raw_type":"inproceedings"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0810.3484","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0810.3484","pdf_url":"https://arxiv.org/pdf/0810.3484","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.7300000190734863,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W115836650","https://openalex.org/W1493965168","https://openalex.org/W1534688999","https://openalex.org/W1556407863","https://openalex.org/W1578267562","https://openalex.org/W1973488611","https://openalex.org/W1997676547","https://openalex.org/W2008620264","https://openalex.org/W2032431794","https://openalex.org/W2061494390","https://openalex.org/W2073853984","https://openalex.org/W2086267744","https://openalex.org/W2089880030","https://openalex.org/W2097050150","https://openalex.org/W2105291362","https://openalex.org/W2112090702","https://openalex.org/W2136931666","https://openalex.org/W2148606196","https://openalex.org/W2157636840","https://openalex.org/W2168262046","https://openalex.org/W2751862591","https://openalex.org/W3100532415","https://openalex.org/W4210901545","https://openalex.org/W4301441647","https://openalex.org/W4388252848"],"related_works":["https://openalex.org/W2142398281","https://openalex.org/W2209700215","https://openalex.org/W2474645015","https://openalex.org/W2288434105","https://openalex.org/W2992881961","https://openalex.org/W2257684267","https://openalex.org/W2809695261","https://openalex.org/W2146810516","https://openalex.org/W2140292604","https://openalex.org/W2610688884"],"abstract_inverted_index":{"We":[0,22,58,106],"propose":[1],"a":[2],"network":[3,38],"characterization":[4],"of":[5,13,27,91,104,111,114],"combinatorial":[6],"fitness":[7],"landscapes":[8,29],"by":[9],"adapting":[10],"the":[11,24,36,40,43,47,76,96,109,112,120],"notion":[12],"inherent":[14,37],"networks":[15,62],"proposed":[16],"for":[17],"energy":[18],"surfaces":[19],"(Doye,":[20],"2002).":[21],"use":[23],"well-known":[25],"family":[26],"$NK$":[28],"as":[30],"an":[31],"example.":[32],"In":[33],"our":[34],"case":[35],"is":[39],"graph":[41],"where":[42],"vertices":[44],"are":[45,73,79,86,99],"all":[46],"local":[48,121],"maxima":[49,77,122],"and":[50,69,116],"edges":[51],"mean":[52],"basin":[53],"adjacency":[54],"between":[55],"two":[56],"maxima.":[57],"exhaustively":[59],"extract":[60],"such":[61],"on":[63],"representative":[64],"small":[65],"NK":[66],"landscape":[67],"instances,":[68],"show":[70],"that":[71],"they":[72],"'small-worlds'.":[74],"However,":[75],"graphs":[78],"not":[80],"random,":[81],"since":[82],"their":[83,117],"clustering":[84],"coefficients":[85],"much":[87],"larger":[88],"than":[89],"those":[90],"corresponding":[92],"random":[93],"graphs.":[94],"Furthermore,":[95],"degree":[97],"distributions":[98],"close":[100],"to":[101],"exponential":[102],"instead":[103],"Poissonian.":[105],"also":[107],"describe":[108],"nature":[110],"basins":[113],"attraction":[115],"relationship":[118],"with":[119],"network.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":22},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}