{"id":"https://openalex.org/W2115440502","doi":"https://doi.org/10.1002/(sici)1097-0118(199601)21:1<87::aid-jgt12>3.0.co;2-p","title":"Long cycles in graphs with large degree sums and neighborhood unions","display_name":"Long cycles in graphs with large degree sums and neighborhood unions","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2115440502","doi":"https://doi.org/10.1002/(sici)1097-0118(199601)21:1<87::aid-jgt12>3.0.co;2-p","mag":"2115440502"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199601)21:1<87::aid-jgt12>3.0.co;2-p","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199601)21:1<87::aid-jgt12>3.0.co;2-p","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/6532317/Heuvel96long.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018271059","display_name":"Jan van den Heuvel","orcid":"https://orcid.org/0000-0003-0897-9148"},"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"]},{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA","NL"],"is_corresponding":true,"raw_author_name":"J. Van den Heuvel","raw_affiliation_strings":["Faculty of Applied Mathematics, University of Twente P.O. Box 217, 7500 AE Enschede, The Netherlands","Department of Mathematics and Statistics, Simon Fraser University, Bumaby, B.C., Canada V5A 1S6"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics, University of Twente P.O. Box 217, 7500 AE Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Simon Fraser University, Bumaby, B.C., Canada V5A 1S6","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018271059"],"corresponding_institution_ids":["https://openalex.org/I18014758","https://openalex.org/I94624287"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.23047859,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"21","issue":"1","first_page":"87","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9988999962806702,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9980999827384949,"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/mathematics","display_name":"Mathematics","score":0.8221124410629272},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7099618315696716},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.690994381904602},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37321680784225464}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8221124410629272},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7099618315696716},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.690994381904602},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37321680784225464},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199601)21:1<87::aid-jgt12>3.0.co;2-p","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199601)21:1<87::aid-jgt12>3.0.co;2-p","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:publications/268f92c6-b9e6-4162-9fc3-1cb8c986ae91","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/268f92c6-b9e6-4162-9fc3-1cb8c986ae91","pdf_url":"https://ris.utwente.nl/ws/files/6532317/Heuvel96long.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":"van den Heuvel, J 1996, 'Long cycles in graphs with large degree sums and neighborhood unions', Journal of graph theory, vol. 21, no. 1, pp. 87-102. https://doi.org/10.1002/(SICI)1097-0118(199601)21:1<87::AID-JGT12>3.0.CO;2-P","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ris.utwente.nl:openaire_cris_publications/2211a651-fbf0-47be-a6ef-80506a0a3988","is_oa":false,"landing_page_url":"https://research.utwente.nl/en/publications/2211a651-fbf0-47be-a6ef-80506a0a3988","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":"van den Heuvel, J P M 1993, Long cycles in graphs with large degree sums and neighborhood unions. Memorandum Faculty of Mathematical Sciences, no. 1169, University of Twente.","raw_type":"info:eu-repo/semantics/report"},{"id":"pmh:oai:ris.utwente.nl:publications/268f92c6-b9e6-4162-9fc3-1cb8c986ae91","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":""},{"id":"pmh:ut:oai:ris.utwente.nl:publications/2211a651-fbf0-47be-a6ef-80506a0a3988","is_oa":false,"landing_page_url":"https://research.utwente.nl/en/publications/long-cycles-in-graphs-with-large-degree-sums-and-neighborhood-unions(2211a651-fbf0-47be-a6ef-80506a0a3988).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/report"}],"best_oa_location":{"id":"pmh:oai:ris.utwente.nl:publications/268f92c6-b9e6-4162-9fc3-1cb8c986ae91","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/268f92c6-b9e6-4162-9fc3-1cb8c986ae91","pdf_url":"https://ris.utwente.nl/ws/files/6532317/Heuvel96long.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":"van den Heuvel, J 1996, 'Long cycles in graphs with large degree sums and neighborhood unions', Journal of graph theory, vol. 21, no. 1, pp. 87-102. https://doi.org/10.1002/(SICI)1097-0118(199601)21:1<87::AID-JGT12>3.0.CO;2-P","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.8399999737739563,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2115440502.pdf","grobid_xml":"https://content.openalex.org/works/W2115440502.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W57328661","https://openalex.org/W161540492","https://openalex.org/W1971367602","https://openalex.org/W1986662362","https://openalex.org/W1993348640","https://openalex.org/W2019698871","https://openalex.org/W2034622510","https://openalex.org/W2039190727","https://openalex.org/W2087439807","https://openalex.org/W2129170614","https://openalex.org/W2738838121","https://openalex.org/W2986262735","https://openalex.org/W4300303686"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"We":[0,33],"present":[1],"and":[2,41],"prove":[3],"several":[4],"results":[5,22,26,40],"concerning":[6],"the":[7,36,39],"length":[8],"of":[9,38],"longest":[10],"cycles":[11,29],"in":[12,30],"2-connected":[13],"or":[14],"1-tough":[15],"graphs":[16],"with":[17],"large":[18],"degree":[19],"sums.":[20],"These":[21],"improve":[23],"many":[24],"known":[25],"on":[27],"long":[28],"these":[31],"graphs.":[32],"also":[34],"consider":[35],"sharpness":[37],"discuss":[42],"some":[43],"possible":[44],"strengthenings.":[45],"\u00a9":[46],"1996":[47],"John":[48],"Wiley":[49],"&":[50],"Sons,":[51],"Inc.":[52]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
