{"id":"https://openalex.org/W1981468140","doi":"https://doi.org/10.1007/s00493-007-2073-3","title":"Spanning a strong digraph by \u03b1 circuits: A proof of Gallai\u2019s conjecture","display_name":"Spanning a strong digraph by \u03b1 circuits: A proof of Gallai\u2019s conjecture","publication_year":2007,"publication_date":"2007-11-01","ids":{"openalex":"https://openalex.org/W1981468140","doi":"https://doi.org/10.1007/s00493-007-2073-3","mag":"1981468140"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-007-2073-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-007-2073-3","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-00256609","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044841141","display_name":"St\u00e9phane Bessy","orcid":"https://orcid.org/0000-0001-7130-4990"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4412460525"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"St\u00e9phane Bessy","raw_affiliation_strings":["LIRMM, Universit\u00e9 Montpellier 2, 161 rue Ada, 34392, Montpellier Cedex 5, France","Universit\u00e9 Montpellier 2, LIRMM, 161 rue Ada, 34392, Montpellier Cedex 5, France#TAB#"],"affiliations":[{"raw_affiliation_string":"LIRMM, Universit\u00e9 Montpellier 2, 161 rue Ada, 34392, Montpellier Cedex 5, France","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I4210101743"]},{"raw_affiliation_string":"Universit\u00e9 Montpellier 2, LIRMM, 161 rue Ada, 34392, Montpellier Cedex 5, France#TAB#","institution_ids":["https://openalex.org/I19894307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033238040","display_name":"St\u00e9phan Thomass\u00e9","orcid":"https://orcid.org/0000-0002-7090-1790"},"institutions":[{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4412460525"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"St\u00e9phan Thomass\u00e9","raw_affiliation_strings":["LIRMM, Universit\u00e9 Montpellier 2, 161 rue Ada, 34392, Montpellier Cedex 5, France","Universit\u00e9 Montpellier 2, LIRMM, 161 rue Ada, 34392, Montpellier Cedex 5, France#TAB#"],"affiliations":[{"raw_affiliation_string":"LIRMM, Universit\u00e9 Montpellier 2, 161 rue Ada, 34392, Montpellier Cedex 5, France","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I4210101743"]},{"raw_affiliation_string":"Universit\u00e9 Montpellier 2, LIRMM, 161 rue Ada, 34392, Montpellier Cedex 5, France#TAB#","institution_ids":["https://openalex.org/I19894307"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044841141"],"corresponding_institution_ids":["https://openalex.org/I19894307","https://openalex.org/I4210101743"],"apc_list":null,"apc_paid":null,"fwci":1.4973,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.81505117,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"27","issue":"6","first_page":"659","last_page":"667"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9990000128746033,"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/T12288","display_name":"Optimization and Search Problems","score":0.9929999709129333,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.9156519174575806},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8573328852653503},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8016402721405029},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7929075956344604},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.6656206846237183},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.580950915813446},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4722960293292999},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46603885293006897},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.41258376836776733}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.9156519174575806},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8573328852653503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8016402721405029},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7929075956344604},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.6656206846237183},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.580950915813446},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4722960293292999},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46603885293006897},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.41258376836776733},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00493-007-2073-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-007-2073-3","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.192.324","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.324","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lirmm.fr/%7Ethomasse/liste/gallai.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:lirmm-00256609v1","is_oa":true,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-00256609","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":"Combinatorica, 2007, 27 (6), pp.659-667. ⟨10.1007/s00493-007-2073-3⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:lirmm-00256609v1","is_oa":true,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-00256609","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":"Combinatorica, 2007, 27 (6), pp.659-667. ⟨10.1007/s00493-007-2073-3⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W606453859","https://openalex.org/W1199371048","https://openalex.org/W1526979981","https://openalex.org/W1548164611","https://openalex.org/W1990731595","https://openalex.org/W1999667176","https://openalex.org/W2030550589","https://openalex.org/W2044935944","https://openalex.org/W2045473475","https://openalex.org/W2303154786","https://openalex.org/W4254807835"],"related_works":["https://openalex.org/W2033567934","https://openalex.org/W2782194400","https://openalex.org/W2765600275","https://openalex.org/W2953710272","https://openalex.org/W2365236566","https://openalex.org/W4206573252","https://openalex.org/W3088611359","https://openalex.org/W3196251681","https://openalex.org/W4255598955","https://openalex.org/W2350235717"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}