{"id":"https://openalex.org/W1990740687","doi":"https://doi.org/10.1142/s1793830914500128","title":"EULERIAN AND HAMILTONIAN DICYCLES IN DIRECTED HYPERGRAPHS","display_name":"EULERIAN AND HAMILTONIAN DICYCLES IN DIRECTED HYPERGRAPHS","publication_year":2013,"publication_date":"2013-10-31","ids":{"openalex":"https://openalex.org/W1990740687","doi":"https://doi.org/10.1142/s1793830914500128","mag":"1990740687"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830914500128","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500128","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01104634","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054272226","display_name":"J\u00falio Ar\u00e1ujo","orcid":"https://orcid.org/0000-0001-7074-2753"},"institutions":[{"id":"https://openalex.org/I243754102","display_name":"Universidade Federal do Cear\u00e1","ror":"https://ror.org/03srtnf24","country_code":"BR","type":"education","lineage":["https://openalex.org/I243754102"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"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"]}],"countries":["BR","FR"],"is_corresponding":true,"raw_author_name":"JULIO ARAUJO","raw_affiliation_strings":["COATI Project, INRIA and I3S (CNRS/UNS), 2004, Route des Lucioles, B.P. 93, F-06902 Sophia Antipolis Cedex, France","Universidade Federal do Ceara (Federal University of Ceara)"],"affiliations":[{"raw_affiliation_string":"COATI Project, INRIA and I3S (CNRS/UNS), 2004, Route des Lucioles, B.P. 93, F-06902 Sophia Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universidade Federal do Ceara (Federal University of Ceara)","institution_ids":["https://openalex.org/I243754102"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111961271","display_name":"Jean\u2010Claude Bermond","orcid":null},"institutions":[{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]},{"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/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["AT","FR"],"is_corresponding":false,"raw_author_name":"JEAN-CLAUDE BERMOND","raw_affiliation_strings":["COATI Project, INRIA and I3S (CNRS/UNS), 2004, Route des Lucioles, B.P. 93, F-06902 Sophia Antipolis Cedex, France","Combinatorics, Optimization and Algorithms for Telecommunications"],"affiliations":[{"raw_affiliation_string":"COATI Project, INRIA and I3S (CNRS/UNS), 2004, Route des Lucioles, B.P. 93, F-06902 Sophia Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Combinatorics, Optimization and Algorithms for Telecommunications","institution_ids":["https://openalex.org/I4210099593"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020003818","display_name":"Guillaume Ducoffe","orcid":"https://orcid.org/0000-0003-2127-5989"},"institutions":[{"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"]},{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]}],"countries":["AT","FR"],"is_corresponding":false,"raw_author_name":"GUILLAUME DUCOFFE","raw_affiliation_strings":["University of Nice-Sophia Antipolis, France","Combinatorics, Optimization and Algorithms for Telecommunications"],"affiliations":[{"raw_affiliation_string":"University of Nice-Sophia Antipolis, France","institution_ids":["https://openalex.org/I201841394"]},{"raw_affiliation_string":"Combinatorics, Optimization and Algorithms for Telecommunications","institution_ids":["https://openalex.org/I4210099593"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054272226"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I243754102"],"apc_list":null,"apc_paid":null,"fwci":1.1096,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78011896,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"06","issue":"01","first_page":"1450012","last_page":"1450012"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9948999881744385,"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":0.9948999881744385,"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/T11476","display_name":"Graph theory and applications","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9894000291824341,"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/eulerian-path","display_name":"Eulerian path","score":0.9413155913352966},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6888573169708252},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6477755308151245},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6227526664733887},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6049246191978455},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.5006852149963379},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.47470277547836304},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4354569613933563},{"id":"https://openalex.org/keywords/hamiltonian-path-problem","display_name":"Hamiltonian path problem","score":0.41279274225234985},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.31064191460609436},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.2941502332687378},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19701352715492249},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.19682666659355164},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.07065513730049133}],"concepts":[{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.9413155913352966},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6888573169708252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6477755308151245},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6227526664733887},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6049246191978455},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.5006852149963379},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.47470277547836304},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4354569613933563},{"id":"https://openalex.org/C104737047","wikidata":"https://www.wikidata.org/wiki/Q987652","display_name":"Hamiltonian path problem","level":4,"score":0.41279274225234985},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.31064191460609436},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2941502332687378},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19701352715492249},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.19682666659355164},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.07065513730049133}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s1793830914500128","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500128","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.669.6004","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.669.6004","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-01104634/document/","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01104634v2","is_oa":true,"landing_page_url":"https://hal.science/hal-01104634","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":"Discrete Mathematics, Algorithms and Applications, 2014, 06, pp.1450012. &#x27E8;10.1142/S1793830914500128&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01104634v2","is_oa":true,"landing_page_url":"https://hal.science/hal-01104634","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":"Discrete Mathematics, Algorithms and Applications, 2014, 06, pp.1450012. &#x27E8;10.1142/S1793830914500128&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W65240142","https://openalex.org/W102146680","https://openalex.org/W962307333","https://openalex.org/W1428816444","https://openalex.org/W1530753374","https://openalex.org/W1548164611","https://openalex.org/W1572000546","https://openalex.org/W1903496173","https://openalex.org/W1974540633","https://openalex.org/W1990068115","https://openalex.org/W1999115197","https://openalex.org/W2008309723","https://openalex.org/W2020140907","https://openalex.org/W2026725490","https://openalex.org/W2029188305","https://openalex.org/W2029894006","https://openalex.org/W2033984368","https://openalex.org/W2034044758","https://openalex.org/W2034283989","https://openalex.org/W2039773446","https://openalex.org/W2064429892","https://openalex.org/W2064612698","https://openalex.org/W2066441664","https://openalex.org/W2077349559","https://openalex.org/W2084424700","https://openalex.org/W2088594973","https://openalex.org/W2107269625","https://openalex.org/W2157978873","https://openalex.org/W2165149312","https://openalex.org/W2410349171","https://openalex.org/W3137132082","https://openalex.org/W3214824404","https://openalex.org/W4254308440","https://openalex.org/W4256138052","https://openalex.org/W4300303686"],"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/W3161798885"],"abstract_inverted_index":{"In":[0,113],"this":[1],"paper,":[2],"we":[3,76,101,115],"generalize":[4],"the":[5,104],"concepts":[6],"of":[7,28,37,40,42,69],"Eulerian":[8,48,70,84,97,110,126],"and":[9,32,71,98,111,127],"Hamiltonian":[10,72,128],"digraphs":[11],"to":[12],"directed":[13],"hypergraphs.":[14],"A":[15],"dihypergraphH":[16],"is":[17,24,34,47,53,83,85],"a":[18,25,35,54,81,120],"pair":[19],"(\ud835\udcb1(H),":[20],"\u2130(H)),":[21],"where":[22],"\ud835\udcb1(H)":[23],"non-empty":[26],"set":[27],"elements,":[29],"called":[30,44],"vertices,":[31],"\u2130(H)":[33],"collection":[36],"ordered":[38],"pairs":[39],"subsets":[41],"\ud835\udcb1(H),":[43],"hyperarcs.":[45],"It":[46],"(resp.":[49,59],"Hamiltonian)":[50],"if":[51],"there":[52],"dicycle":[55],"containing":[56],"each":[57,60],"hyperarc":[58],"vertex)":[61],"exactly":[62],"once.":[63],"We":[64,89],"first":[65],"present":[66],"some":[67],"properties":[68],"dihypergraphs.":[73],"For":[74],"example,":[75],"show":[77],"that":[78],"deciding":[79],"whether":[80],"dihypergraph":[82],"an":[86,125],"NP-complete":[87],"problem.":[88],"also":[90],"study":[91,102],"when":[92,103,117],"iterated":[93],"line":[94],"dihypergraphs":[95,108],"are":[96,109],"Hamiltonian.":[99,112],"Finally,":[100],"generalized":[105],"de":[106],"Bruijn":[107],"particular,":[114],"determine":[116],"they":[118],"contain":[119],"complete":[121],"Berge":[122],"dicycle,":[123],"i.e.,":[124],"dicycle.":[129]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
