{"id":"https://openalex.org/W2032744460","doi":"https://doi.org/10.1002/jgt.3190060305","title":"The maximum number of arc\u2010disjoint arborescences in a tournament","display_name":"The maximum number of arc\u2010disjoint arborescences in a tournament","publication_year":1982,"publication_date":"1982-09-01","ids":{"openalex":"https://openalex.org/W2032744460","doi":"https://doi.org/10.1002/jgt.3190060305","mag":"2032744460"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190060305","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190060305","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074095189","display_name":"Ma Chung\u2010fan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ma Chung\u2010fan","raw_affiliation_strings":["Academia Sinica Peking, People'S Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academia Sinica Peking, People'S Republic of China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050440133","display_name":"Cai Mao\u2010cheng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cai Mao\u2010cheng","raw_affiliation_strings":["Academia Sinica Peking, People'S Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academia Sinica Peking, People'S Republic of China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":1.0984,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76137555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"3","first_page":"295","last_page":"302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9966999888420105,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9966999888420105,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9930999875068665,"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":0.9840999841690063,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tournament","display_name":"Tournament","score":0.9617286920547485},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8241944313049316},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.8061802387237549},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8058374524116516},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.6423237919807434},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.56124347448349},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44984930753707886},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.051509350538253784}],"concepts":[{"id":"https://openalex.org/C136975688","wikidata":"https://www.wikidata.org/wiki/Q1320634","display_name":"Tournament","level":2,"score":0.9617286920547485},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8241944313049316},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.8061802387237549},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8058374524116516},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.6423237919807434},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.56124347448349},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44984930753707886},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.051509350538253784}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190060305","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190060305","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W4246377907"],"related_works":["https://openalex.org/W3123786980","https://openalex.org/W4287997709","https://openalex.org/W2994965880","https://openalex.org/W3083287393","https://openalex.org/W3094108612","https://openalex.org/W3125314910","https://openalex.org/W1967262927","https://openalex.org/W4249894547","https://openalex.org/W2388799229","https://openalex.org/W1553466895"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"article,":[3],"we":[4],"give":[5],"the":[6,25],"maximum":[7],"number":[8],"of":[9,24,27],"arc\u2010disjoint":[10],"arborescences":[11],"in":[12],"a":[13],"tournament":[14],"or":[15],"an":[16],"oriented":[17],"complete":[18],"r":[19],"\u2010partite":[20],"graph":[21],"by":[22],"means":[23],"indegrees":[26],"its":[28],"vertices.":[29]},"counts_by_year":[],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}
