{"id":"https://openalex.org/W3164681654","doi":"https://doi.org/10.1007/s00453-021-00838-3","title":"Time Complexity Analysis of Randomized Search Heuristics for the Dynamic Graph Coloring Problem","display_name":"Time Complexity Analysis of Randomized Search Heuristics for the Dynamic Graph Coloring Problem","publication_year":2021,"publication_date":"2021-06-18","ids":{"openalex":"https://openalex.org/W3164681654","doi":"https://doi.org/10.1007/s00453-021-00838-3","mag":"3164681654"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-021-00838-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00838-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00838-3.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00838-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083504710","display_name":"Jakob Bossek","orcid":"https://orcid.org/0000-0002-4121-4668"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Jakob Bossek","raw_affiliation_strings":["Department of Information Systems, University of M\u00fcnster, M\u00fcnster, Germany","University of M\u00fcnster"],"affiliations":[{"raw_affiliation_string":"Department of Information Systems, University of M\u00fcnster, M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]},{"raw_affiliation_string":"University of M\u00fcnster","institution_ids":["https://openalex.org/I22465464"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089531887","display_name":"Frank Neumann","orcid":"https://orcid.org/0000-0002-2721-3618"},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"The University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Frank Neumann","raw_affiliation_strings":["School of Computer Science, The University of Adelaide, Adelaide, Australia","University of Adelaide"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, The University of Adelaide, Adelaide, Australia","institution_ids":["https://openalex.org/I5681781"]},{"raw_affiliation_string":"University of Adelaide","institution_ids":["https://openalex.org/I5681781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101668134","display_name":"Pan Peng","orcid":"https://orcid.org/0000-0003-2700-5699"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Pan Peng","raw_affiliation_strings":["Department of Computer Science, University of Sheffield, Sheffield, UK","University of Sheffield#N#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I91136226"]},{"raw_affiliation_string":"University of Sheffield#N#","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018789989","display_name":"Dirk Sudholt","orcid":"https://orcid.org/0000-0001-6020-1646"},"institutions":[{"id":"https://openalex.org/I186354981","display_name":"University of Passau","ror":"https://ror.org/05ydjnb78","country_code":"DE","type":"education","lineage":["https://openalex.org/I186354981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dirk Sudholt","raw_affiliation_strings":["Chair of Algorithms for Intelligent Systems, University of Passau, Passau, Germany","University Of Passau"],"affiliations":[{"raw_affiliation_string":"Chair of Algorithms for Intelligent Systems, University of Passau, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]},{"raw_affiliation_string":"University Of Passau","institution_ids":["https://openalex.org/I186354981"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083504710"],"corresponding_institution_ids":["https://openalex.org/I22465464"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07555919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"83","issue":"10","first_page":"3148","last_page":"3179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/heuristics","display_name":"Heuristics","score":0.627872109413147},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.5101768970489502},{"id":"https://openalex.org/keywords/iterated-local-search","display_name":"Iterated local search","score":0.4843938946723938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48303231596946716},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.45482614636421204},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.45248088240623474},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.4473133981227875},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4408155083656311},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42251208424568176},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.4206186532974243},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40406370162963867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3880331516265869},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3685774803161621},{"id":"https://openalex.org/keywords/local-search","display_name":"Local search (optimization)","score":0.3420109748840332},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.29033613204956055}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.627872109413147},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.5101768970489502},{"id":"https://openalex.org/C124145224","wikidata":"https://www.wikidata.org/wiki/Q6094397","display_name":"Iterated local search","level":3,"score":0.4843938946723938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48303231596946716},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.45482614636421204},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.45248088240623474},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.4473133981227875},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4408155083656311},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42251208424568176},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.4206186532974243},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40406370162963867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3880331516265869},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3685774803161621},{"id":"https://openalex.org/C135320971","wikidata":"https://www.wikidata.org/wiki/Q1868524","display_name":"Local search (optimization)","level":2,"score":0.3420109748840332},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.29033613204956055},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00453-021-00838-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00838-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00838-3.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2105.12525","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2105.12525","pdf_url":"https://arxiv.org/pdf/2105.12525","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":null,"raw_type":"text"},{"id":"pmh:oai:digital.library.adelaide.edu.au:2440/131479","is_oa":true,"landing_page_url":"http://hdl.handle.net/2440/131479","pdf_url":"http://hdl.handle.net/2440/131479","source":{"id":"https://openalex.org/S4306401835","display_name":"Adelaide Research & Scholarship (AR&S) (University of Adelaide)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5681781","host_organization_name":"The University of Adelaide","host_organization_lineage":["https://openalex.org/I5681781"],"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":"http://dx.doi.org/10.1007/s00453-021-00838-3","raw_type":"Journal article"},{"id":"pmh:oai:eprints.whiterose.ac.uk:178846","is_oa":true,"landing_page_url":null,"pdf_url":"https://eprints.whiterose.ac.uk/178846/1/Bossek2021_Article_TimeComplexityAnalysisOfRandom.pdf","source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"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":"","raw_type":"Article"},{"id":"mag:3164681654","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2105.12525v1","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2105.12525","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2105.12525","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00453-021-00838-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00838-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00838-3.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G611870384","display_name":null,"funder_award_id":"grant","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G7034412065","display_name":null,"funder_award_id":"DP160102401","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320322957","display_name":"Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster","ror":"https://ror.org/00pd74e08"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3164681654.pdf","grobid_xml":"https://content.openalex.org/works/W3164681654.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1494649436","https://openalex.org/W1532574220","https://openalex.org/W1547579803","https://openalex.org/W1547915777","https://openalex.org/W1983403768","https://openalex.org/W1989102235","https://openalex.org/W2003694457","https://openalex.org/W2041174023","https://openalex.org/W2043191653","https://openalex.org/W2061751517","https://openalex.org/W2069413879","https://openalex.org/W2076588308","https://openalex.org/W2079241742","https://openalex.org/W2081990166","https://openalex.org/W2088415500","https://openalex.org/W2129679961","https://openalex.org/W2133773025","https://openalex.org/W2137130066","https://openalex.org/W2160241726","https://openalex.org/W2243432867","https://openalex.org/W2474885930","https://openalex.org/W2523342862","https://openalex.org/W2604936630","https://openalex.org/W2621823477","https://openalex.org/W2774090050","https://openalex.org/W2785385648","https://openalex.org/W2802344229","https://openalex.org/W2811220708","https://openalex.org/W2885600600","https://openalex.org/W2888641532","https://openalex.org/W2899533224","https://openalex.org/W2911567192","https://openalex.org/W2953507825","https://openalex.org/W2962686327","https://openalex.org/W2962761621","https://openalex.org/W2962923099","https://openalex.org/W2963428892","https://openalex.org/W2978895260","https://openalex.org/W3002868299","https://openalex.org/W3007586068","https://openalex.org/W3013187364","https://openalex.org/W3045152478","https://openalex.org/W3101137046","https://openalex.org/W3122779104"],"related_works":["https://openalex.org/W3175869170","https://openalex.org/W2953507825","https://openalex.org/W2885774179","https://openalex.org/W3003793555","https://openalex.org/W3002604352","https://openalex.org/W55565130","https://openalex.org/W2739688939","https://openalex.org/W1923112697","https://openalex.org/W2095518912","https://openalex.org/W2518578858","https://openalex.org/W2405621756","https://openalex.org/W2009528260","https://openalex.org/W2556156668","https://openalex.org/W2888247138","https://openalex.org/W3156065822","https://openalex.org/W1974234589","https://openalex.org/W2770134246","https://openalex.org/W2962800229","https://openalex.org/W2240396129","https://openalex.org/W3039478976"],"abstract_inverted_index":{"Abstract":[0],"We":[1,14,36,99,165],"contribute":[2],"to":[3,32,46,87,131,146,172],"the":[4,16,25,33,39,62,72,89,94,175,184,191,202,217],"theoretical":[5],"understanding":[6],"of":[7,64,74,97,102,174,204],"randomized":[8,43],"search":[9,44,78],"heuristics":[10,45],"for":[11,42,141,149,195],"dynamic":[12,26],"problems.":[13,134],"consider":[15],"classical":[17],"vertex":[18],"coloring":[19],"problem":[20],"on":[21],"graphs":[22,104],"and":[23,55,68,85],"investigate":[24],"setting":[27,60],"where":[28,61,105,177,216],"edges":[29],"are":[30,70,139],"added":[31,205],"current":[34],"graph.":[35],"then":[37],"analyze":[38],"expected":[40,185,192],"time":[41,194],"recompute":[47],"high":[48],"quality":[49],"solutions.":[50],"The":[51],"(1+1)":[52],"Evolutionary":[53],"Algorithm":[54],"RLS":[56],"operate":[57],"in":[58,201,214],"a":[59,121,126],"number":[63,73,96,203],"colors":[65,91],"is":[66,107,159,199,220],"bounded":[67],"we":[69],"minimizing":[71],"conflicts.":[75],"Iterated":[76],"local":[77],"algorithms":[79,198,209],"use":[80,88],"an":[81],"unbounded":[82],"color":[83],"palette":[84],"aim":[86],"smallest":[90,95],"and,":[92],"consequently,":[93],"colors.":[98],"identify":[100],"classes":[101,137],"bipartite":[103],"reoptimization":[106,158,186,193],"as":[108,110],"hard":[109,132,140],"or":[111],"even":[112],"harder":[113],"than":[114,161],"optimization":[115],"from":[116,163],"scratch,":[117],"i.e.,":[118],"starting":[119],"with":[120],"random":[122],"initialization.":[123],"Even":[124],"adding":[125],"single":[127],"edge":[128],"can":[129,181],"lead":[130],"symmetry":[133],"However,":[135,207],"graph":[136,176],"that":[138,157,168],"one":[142],"algorithm":[143,219],"turn":[144],"out":[145],"be":[147],"easy":[148],"others.":[150],"In":[151,188],"most":[152,189],"cases":[153],"our":[154],"bounds":[155],"show":[156,167],"faster":[160],"optimizing":[162],"scratch.":[164],"further":[166],"tailoring":[169],"mutation":[170],"operators":[171],"parts":[173],"changes":[178],"have":[179],"occurred":[180],"significantly":[182],"reduce":[183],"time.":[187],"settings":[190,215],"such":[196],"tailored":[197,208],"linear":[200],"edges.":[206],"cannot":[210],"prevent":[211],"exponential":[212],"times":[213],"original":[218],"inefficient.":[221]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
