{"id":"https://openalex.org/W2119258255","doi":"https://doi.org/10.1002/jgt.3190170311","title":"Cycles containing all vertices of maximum degree","display_name":"Cycles containing all vertices of maximum degree","publication_year":1993,"publication_date":"1993-07-01","ids":{"openalex":"https://openalex.org/W2119258255","doi":"https://doi.org/10.1002/jgt.3190170311","mag":"2119258255"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190170311","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190170311","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":true,"oa_status":"green","oa_url":"https://ris.utwente.nl/ws/files/240023135/Broersma1993cycles.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068613759","display_name":"Hajo Broersma","orcid":"https://orcid.org/0000-0002-4678-3210"},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"H. J. Broersma","raw_affiliation_strings":["Faculty of Applied Mathematics, University of Twente, Enschede, The Netherlands","Faculty of Applied Mathematics, University of Twente, Enschede, the Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics, University of Twente, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"Faculty of Applied Mathematics, University of Twente, Enschede, the Netherlands","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111914437","display_name":"J. Den Van Heuvel","orcid":null},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"J. Den Van Heuvel","raw_affiliation_strings":["Faculty of Applied Mathematics, University of Twente, Enschede, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics, University of Twente, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108416731","display_name":"H. A. Jung","orcid":"https://orcid.org/0000-0001-6713-1636"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H. A. Jung","raw_affiliation_strings":["Fachbereich Mathematik, Technische Universita\u0308t Berlin, Berlin, Germany","Technische Universitat Berlin"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Technische Universita\u0308t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Technische Universitat Berlin","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054877040","display_name":"H.J. Veldman","orcid":null},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"H. J. Veldman","raw_affiliation_strings":["Faculty of Applied Mathematics, University of Twente, Enschede, The Netherlands","Faculty of Applied Mathematics, University of Twente, Enschede, the Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics, University of Twente, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"Faculty of Applied Mathematics, University of Twente, Enschede, the Netherlands","institution_ids":["https://openalex.org/I94624287"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5068613759"],"corresponding_institution_ids":["https://openalex.org/I94624287"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":1.0463,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.78475996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"3","first_page":"373","last_page":"385"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9995999932289124,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8785232305526733},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.875907838344574},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6839501261711121},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5939478874206543},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.586628794670105},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.4797604978084564},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45300188660621643},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.44559434056282043},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.43455713987350464},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43153107166290283},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.054672569036483765}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8785232305526733},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.875907838344574},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6839501261711121},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5939478874206543},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.586628794670105},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.4797604978084564},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45300188660621643},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.44559434056282043},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43455713987350464},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43153107166290283},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.054672569036483765},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/jgt.3190170311","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190170311","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:ris.utwente.nl:openaire/29cd0100-bae4-46e3-bdbc-0683f998d555","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/29cd0100-bae4-46e3-bdbc-0683f998d555","pdf_url":"https://ris.utwente.nl/ws/files/240023135/Broersma1993cycles.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Broersma, H J, van den Heuvel, J, Jung, H A & Veldman, H J 1993, 'Cycles containing all vertices of maximum degree', Journal of graph theory, vol. 17, no. 3, pp. 373-385. https://doi.org/10.1002/jgt.3190170311","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:ris.utwente.nl:publications/29cd0100-bae4-46e3-bdbc-0683f998d555","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:ris.utwente.nl:openaire/29cd0100-bae4-46e3-bdbc-0683f998d555","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/29cd0100-bae4-46e3-bdbc-0683f998d555","pdf_url":"https://ris.utwente.nl/ws/files/240023135/Broersma1993cycles.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Broersma, H J, van den Heuvel, J, Jung, H A & Veldman, H J 1993, 'Cycles containing all vertices of maximum degree', Journal of graph theory, vol. 17, no. 3, pp. 373-385. https://doi.org/10.1002/jgt.3190170311","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2119258255.pdf","grobid_xml":"https://content.openalex.org/works/W2119258255.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W61042606","https://openalex.org/W1484040084","https://openalex.org/W1993348640","https://openalex.org/W2039190727","https://openalex.org/W2053012828","https://openalex.org/W2085599660","https://openalex.org/W2114836722","https://openalex.org/W2163667514","https://openalex.org/W2404911027"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2768610039","https://openalex.org/W4308265086","https://openalex.org/W2949964783","https://openalex.org/W2106889256","https://openalex.org/W2801357573","https://openalex.org/W4302778552","https://openalex.org/W4301452142","https://openalex.org/W2581389238"],"abstract_inverted_index":{"Abstract":[0],"For":[1,89],"a":[2,37,60,114],"graph":[3,39,155],"G":[4,21,35,58,96,133,137],"and":[5,49],"an":[6,145,169],"integer":[7],"k":[8,13,29,52,55,67,76,80,93,106,109,153],",":[9,56],"denote":[10],"by":[11],"V":[12,19,51,66,79,105],"the":[14,73,90,102,120,125],"set":[15],"{":[16],"v":[17,26],"\u2208":[18],"(":[20,25],")":[22,27,134,138],"|":[23,50,53,78,81,104,107],"d":[24],"\u2265":[28],"}.":[30],"Veldman":[31],"proved":[32,123],"that":[33,72,101,128,150],"if":[34],"is":[36,70,82,99,122,144,163,174],"2\u2010connected":[38,152],"of":[40,65,116,147,156,168,171],"order":[41,157],"n":[42,44,129,158,160],"with":[43,159],"\u2264":[45,54,108,130,161],"3k":[46,162],"\u2010":[47],"2":[48,131],"then":[57],"has":[59],"cycle":[61],"containing":[62],"all":[63],"vertices":[64],".":[68,141],"It":[69],"shown":[71],"upper":[74],"bound":[75],"on":[77],"close":[83],"to":[84],"best":[85],"possible":[86],"in":[87],"general.":[88],"special":[91],"case":[92],"=":[94],"\u03b4(":[95,132,136],"),":[97],"it":[98],"conjectured":[100],"condition":[103,127],"can":[110],"be":[111],"omitted.":[112],"Using":[113],"variation":[115],"Woodall's":[117],"Hopping":[118],"Lemma,":[119],"conjecture":[121],"under":[124],"additional":[126],"+":[135,139],"1":[140],"This":[142],"result":[143],"almost\u2010generalization":[146],"Jackson's":[148,172],"Theorem":[149,173],"every":[151],"\u2010regular":[154],"hamiltonian.":[164],"An":[165],"alternative":[166],"proof":[167],"extension":[170],"also":[175],"presented.":[176],"\u00a9":[177],"1993":[178],"John":[179],"Wiley":[180],"&amp;":[181],"Sons,":[182],"Inc.":[183]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
