{"id":"https://openalex.org/W2112126377","doi":"https://doi.org/10.1051/ro:1999119","title":"On the parallel complexity of the alternating Hamiltonian cycle problem","display_name":"On the parallel complexity of the alternating Hamiltonian cycle problem","publication_year":1999,"publication_date":"1999-10-01","ids":{"openalex":"https://openalex.org/W2112126377","doi":"https://doi.org/10.1051/ro:1999119","mag":"2112126377"},"language":"en","primary_location":{"id":"doi:10.1051/ro:1999119","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro:1999119","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/123456789/25556","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063171222","display_name":"Evripidis Bampis","orcid":"https://orcid.org/0000-0002-4498-3040"},"institutions":[{"id":"https://openalex.org/I88467170","display_name":"Universit\u00e9 d'\u00c9vry Val-d'Essonne","ror":"https://ror.org/00e96v939","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954","https://openalex.org/I88467170"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"E. Bampis","raw_affiliation_strings":["LaMI, Universit\u00e9 d'Evry-Val-d'Essonne, 91025 Evry Cedex, France"],"affiliations":[{"raw_affiliation_string":"LaMI, Universit\u00e9 d'Evry-Val-d'Essonne, 91025 Evry Cedex, France","institution_ids":["https://openalex.org/I88467170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111739071","display_name":"Yannis Manoussakis","orcid":null},"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":false,"raw_author_name":"Y. Manoussakis","raw_affiliation_strings":["L.R.I., b\u00e2timent 490, Universit\u00e9 de Paris-Sud, 91405 Orsay Cedex, France"],"affiliations":[{"raw_affiliation_string":"L.R.I., b\u00e2timent 490, Universit\u00e9 de Paris-Sud, 91405 Orsay Cedex, France","institution_ids":["https://openalex.org/I102197404"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011937346","display_name":"Ioannis Milis","orcid":null},"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":false,"raw_author_name":"I. Milis","raw_affiliation_strings":["L.R.I., b\u00e2timent 490, Universit\u00e9 de Paris-Sud, 91405 Orsay Cedex, France"],"affiliations":[{"raw_affiliation_string":"L.R.I., b\u00e2timent 490, Universit\u00e9 de Paris-Sud, 91405 Orsay Cedex, France","institution_ids":["https://openalex.org/I102197404"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063171222"],"corresponding_institution_ids":["https://openalex.org/I88467170"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19568539,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"4","first_page":"421","last_page":"437"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10374","display_name":"Advanced Graph Theory Research","score":0.9954000115394592,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.984499990940094,"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/hamiltonian-path","display_name":"Hamiltonian path","score":0.8248834609985352},{"id":"https://openalex.org/keywords/hamiltonian-path-problem","display_name":"Hamiltonian path problem","score":0.767194390296936},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.673578679561615},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.6231260299682617},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5802544951438904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5707755088806152},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43743765354156494},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4235343933105469},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3639197051525116},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.08766636252403259}],"concepts":[{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.8248834609985352},{"id":"https://openalex.org/C104737047","wikidata":"https://www.wikidata.org/wiki/Q987652","display_name":"Hamiltonian path problem","level":4,"score":0.767194390296936},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.673578679561615},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.6231260299682617},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5802544951438904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5707755088806152},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43743765354156494},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4235343933105469},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3639197051525116},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.08766636252403259},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro:1999119","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro:1999119","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/25556","is_oa":true,"landing_page_url":"http://hdl.handle.net/123456789/25556","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"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":"RAIRO Recherche Operationnelle","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:numdam.org:RO_1999__33_4_421_0","is_oa":false,"landing_page_url":"https://www.numdam.org/item/RO_1999__33_4_421_0/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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"}],"best_oa_location":{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/25556","is_oa":true,"landing_page_url":"http://hdl.handle.net/123456789/25556","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"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":"RAIRO Recherche Operationnelle","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4387272283","https://openalex.org/W1618127724","https://openalex.org/W4299647289","https://openalex.org/W2155631825","https://openalex.org/W2952856011","https://openalex.org/W2011032737","https://openalex.org/W2078431586","https://openalex.org/W2069133957","https://openalex.org/W140019436","https://openalex.org/W2027410688"],"abstract_inverted_index":{"Given":[0],"a":[1,6,24,55,65,70,82,92,108,132],"graph":[2,71],"with":[3],"colored":[4],"edges,":[5],"Hamiltonian":[7,75,99,128],"cycle":[8,76,100,129],"is":[9,30,35],"called":[10],"alternating":[11,74,98,127],"if":[12,57],"its":[13],"successive":[14],"edges":[15],"differ":[16],"in":[17,59],"color.":[18],"The":[19],"problem":[20,101,130],"of":[21,52,111,119,134],"finding":[22,53],"such":[23,54,69],"cycle,":[25,56],"even":[26],"for":[27,40,68,85,125],"2-edge-colored":[28,41,60],"graphs,":[29],"trivially":[31],"NP-complete,":[32],"while":[33],"it":[34],"known":[36,122],"to":[37,80,102],"be":[38],"polynomial":[39],"complete":[42,61],"graphs.":[43,62],"In":[44,106],"this":[45],"paper":[46],"we":[47],"study":[48],"the":[49,86,97,103,116,120,126],"parallel":[50,83,89,113],"complexity":[51],"any,":[58],"We":[63],"give":[64],"new":[66],"characterization":[67],"admitting":[72],"an":[73],"which":[77],"allows":[78],"us":[79],"derive":[81],"algorithm":[84,95,114,124],"problem.":[87],"Our":[88],"solution":[90],"uses":[91],"perfect":[93],"matching":[94],"putting":[96],"RNC":[104],"class.":[105],"addition,":[107],"sequential":[109,123],"version":[110],"our":[112],"improves":[115],"computation":[117],"time":[118],"fastest":[121],"by":[131],"factor":[133],".":[135]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
