{"id":"https://openalex.org/W1985239078","doi":"https://doi.org/10.1007/s003730200035","title":"A Note on Cycle Lengths in Graphs","display_name":"A Note on Cycle Lengths in Graphs","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W1985239078","doi":"https://doi.org/10.1007/s003730200035","mag":"1985239078"},"language":"en","primary_location":{"id":"doi:10.1007/s003730200035","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003730200035","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","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/A5109960894","display_name":"R.J. Gould","orcid":null},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R.J. Gould","raw_affiliation_strings":["Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA. e-mail: rg@mathcs.emory.edu, , , , , , US","Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA. e-mail: rg@mathcs.emory.edu, , US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA. e-mail: rg@mathcs.emory.edu, , , , , , US","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA. e-mail: rg@mathcs.emory.edu, , US","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073055503","display_name":"Penny Haxell","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"P.E. Haxell","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ont., N2L 3G1, Canada. e-mail: pehaxell@math.uwaterloo.ca, , , , , , CA","Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ont., N2L 3G1, Canada. e-mail: pehaxell@math.uwaterloo.ca, CA"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ont., N2L 3G1, Canada. e-mail: pehaxell@math.uwaterloo.ca, , , , , , CA","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ont., N2L 3G1, Canada. e-mail: pehaxell@math.uwaterloo.ca, CA","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045091550","display_name":"Alex Scott","orcid":null},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A.D. Scott","raw_affiliation_strings":["Department of Mathematics, University College, London, WC1E 6BT, UK. e-mail: scott@math.ucl.ac.uk, , , , , , GB","Department of Mathematics, University College, London, WC1E 6BT, UK. e-mail: scott@math.ucl.ac.uk, , GB"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College, London, WC1E 6BT, UK. e-mail: scott@math.ucl.ac.uk, , , , , , GB","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Department of Mathematics, University College, London, WC1E 6BT, UK. e-mail: scott@math.ucl.ac.uk, , GB","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109960894"],"corresponding_institution_ids":["https://openalex.org/I150468666"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.10887316,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"3","first_page":"491","last_page":"498"},"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":1.0,"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":1.0,"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":0.9998999834060669,"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":0.9998000264167786,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8718627691268921},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8696025013923645},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5364198684692383},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5329670906066895},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.46159952878952026},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3878961503505707},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09598547220230103}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8718627691268921},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8696025013923645},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5364198684692383},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5329670906066895},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.46159952878952026},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3878961503505707},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09598547220230103},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s003730200035","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003730200035","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.98.9162","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.98.9162","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www2.maths.ox.ac.uk/~scott/Papers/cyclelengths.pdf","raw_type":"text"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:190483","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/190483/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"   GRAPHS AND COMBINATORICS , 18  (3)   pp. 491-498.   (2002)      ","raw_type":"Article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:d2c342e2-add8-42bf-a790-1533087d306a","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:d2c342e2-add8-42bf-a790-1533087d306a","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements at Oxford","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1510730180","https://openalex.org/W1566681171","https://openalex.org/W1582742149","https://openalex.org/W1976512347","https://openalex.org/W1987996179","https://openalex.org/W1992473680","https://openalex.org/W1994496907","https://openalex.org/W2006409548","https://openalex.org/W2012008904","https://openalex.org/W2069905179","https://openalex.org/W2088896278","https://openalex.org/W2111007781","https://openalex.org/W2137989215","https://openalex.org/W2798588639"],"related_works":["https://openalex.org/W3161230432","https://openalex.org/W2168900540","https://openalex.org/W4367190712","https://openalex.org/W280458463","https://openalex.org/W1170131723","https://openalex.org/W2399035783","https://openalex.org/W4301429470","https://openalex.org/W2125310826","https://openalex.org/W2339723535","https://openalex.org/W2052513037"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2015,"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"}