{"id":"https://openalex.org/W2068026854","doi":"https://doi.org/10.1002/(sici)1097-0118(199607)22:3<231::aid-jgt3>3.0.co;2-n","title":"Edge-disjoint cycles in regular directed graphs","display_name":"Edge-disjoint cycles in regular directed graphs","publication_year":1996,"publication_date":"1996-07-01","ids":{"openalex":"https://openalex.org/W2068026854","doi":"https://doi.org/10.1002/(sici)1097-0118(199607)22:3<231::aid-jgt3>3.0.co;2-n","mag":"2068026854"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199607)22:3<231::aid-jgt3>3.0.co;2-n","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199607)22:3<231::aid-jgt3>3.0.co;2-n","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/A5083469386","display_name":"Noga Alon","orcid":"https://orcid.org/0000-0003-1332-4883"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["IL","US"],"is_corresponding":true,"raw_author_name":"Noga Alon","raw_affiliation_strings":["AT&T Bell Labs, Murray Hill, NJ 07974, USA","Department of Mathematics, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel"],"affiliations":[{"raw_affiliation_string":"AT&T Bell Labs, Murray Hill, NJ 07974, USA","institution_ids":["https://openalex.org/I1283103587"]},{"raw_affiliation_string":"Department of Mathematics, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111437501","display_name":"Colin McDiarmid","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Colin McDiarmid","raw_affiliation_strings":["Faculty of Mathematical Sciences, University of Oxford, Oxford, England"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematical Sciences, University of Oxford, Oxford, England","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072889645","display_name":"Michael Molloy","orcid":"https://orcid.org/0000-0001-5435-1015"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]},{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Michael Molloy","raw_affiliation_strings":["Department of Computer Science, University of Toronto, Toronto, Ontario, Canada","Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Toronto, Toronto, Ontario, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083469386"],"corresponding_institution_ids":["https://openalex.org/I1283103587","https://openalex.org/I16391192"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":2.1021,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8549263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"22","issue":"3","first_page":"231","last_page":"237"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9955999851226807,"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/combinatorics","display_name":"Combinatorics","score":0.8396404981613159},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.806562066078186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7490728497505188},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6831794381141663},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5513725280761719},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.45920616388320923},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41670694947242737},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12445291876792908}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8396404981613159},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.806562066078186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7490728497505188},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6831794381141663},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5513725280761719},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.45920616388320923},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41670694947242737},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12445291876792908},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199607)22:3<231::aid-jgt3>3.0.co;2-n","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199607)22:3<231::aid-jgt3>3.0.co;2-n","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.108.8142","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.108.8142","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.stats.ox.ac.uk/~cstone/Prof. C. McDiarmid Publications/1996/edcycles.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.8673","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.8673","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.toronto.edu/~molloy/webpapers/cycles.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.568.1535","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.568.1535","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.stats.ox.ac.uk/people/academic_staff/colin_mcdiarmid/?a=4148","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.98.1333","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.98.1333","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.tau.ac.il/~nogaa/PDFS/cycles6.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1596555387","https://openalex.org/W1975433230","https://openalex.org/W2040831377","https://openalex.org/W2051790896","https://openalex.org/W2069250116","https://openalex.org/W2073575939","https://openalex.org/W2094004458","https://openalex.org/W2146017177","https://openalex.org/W2157737769"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W4256429076","https://openalex.org/W2348092930","https://openalex.org/W2171695875","https://openalex.org/W2062850566","https://openalex.org/W4308716484","https://openalex.org/W26693340","https://openalex.org/W2587900963","https://openalex.org/W1553466895"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2,22,39],"any":[3,25],"k-regular":[4],"directed":[5],"graph":[6,27],"with":[7],"no":[8],"parallel":[9],"edges":[10],"contains":[11,28],"a":[12,29],"collection":[13,30],"of":[14,31],"at":[15,32],"least":[16,33],"O(k2)":[17],"edge-disjoint":[18],"cycles;":[19],"we":[20],"conjecture":[21],"in":[23],"fact":[24],"such":[26],"(k+12)":[34],"disjoint":[35],"cycles,":[36],"and":[37],"note":[38],"this":[40],"holds":[41],"for":[42],"k":[43],"\u2264":[44],"3.":[45],"\u00a9":[46],"1996":[47],"John":[48],"Wiley":[49],"&":[50],"Sons,":[51],"Inc.":[52]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
