{"id":"https://openalex.org/W4407996154","doi":"https://doi.org/10.37236/12143","title":"Minimum Degree Conditions for Hamilton $l$-Cycles in $k$-Uniform Hypergraphs","display_name":"Minimum Degree Conditions for Hamilton $l$-Cycles in $k$-Uniform Hypergraphs","publication_year":2025,"publication_date":"2025-02-27","ids":{"openalex":"https://openalex.org/W4407996154","doi":"https://doi.org/10.37236/12143"},"language":"en","primary_location":{"id":"doi:10.37236/12143","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12143","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i1p35/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i1p35/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086267413","display_name":"Jie Han","orcid":"https://orcid.org/0000-0002-2013-2962"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jie Han","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002679949","display_name":"Lin Sun","orcid":"https://orcid.org/0000-0002-0751-2442"},"institutions":[{"id":"https://openalex.org/I4210094981","display_name":"Community Link","ror":"https://ror.org/00mssm162","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210094981"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lin Sun","raw_affiliation_strings":["linsun77@163.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"linsun77@163.com","institution_ids":["https://openalex.org/I4210094981"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100399476","display_name":"Guanghui Wang","orcid":"https://orcid.org/0000-0002-3730-5575"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guanghui Wang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07326917,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"1","first_page":null,"last_page":null},"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":0.9972000122070312,"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":0.9972000122070312,"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":0.9922999739646912,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9898999929428101,"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/degree","display_name":"Degree (music)","score":0.7817453145980835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5780044198036194},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5323354005813599},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1831921637058258}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7817453145980835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5780044198036194},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5323354005813599},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1831921637058258},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/12143","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12143","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i1p35/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2503.05275","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.05275","pdf_url":"https://arxiv.org/pdf/2503.05275","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/12143","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12143","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i1p35/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4407996154.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2,51],"for":[3],"$":[4,6,10,16,18,43,48,58],"\\eta>0":[5],"and":[7,66],"sufficiently":[8],"large":[9],"n":[11,17],"$,":[12],"every":[13],"5-graph":[14],"on":[15,41],"vertices":[19],"with":[20],"$\\delta_{2}(H)\\ge":[21],"(91/216+\\eta)\\binom{n}{3}$":[22],"contains":[23],"a":[24,56],"Hamilton":[25,57],"2-cycle.":[26],"This":[27],"minimum":[28,42],"2-degree":[29],"condition":[30],"is":[31],"asymptotically":[32],"best":[33],"possible.":[34],"Moreover,":[35],"we":[36],"give":[37],"some":[38],"related":[39],"results":[40],"d":[44,63],"$-degree":[45],"conditions":[46],"in":[47],"k":[49],"$-graphs":[50],"guarantee":[52],"the":[53],"existence":[54],"of":[55],"\\ell":[59,68],"$-cycle":[60],"when":[61],"$\\ell\\le":[62],"\\le":[64],"k-1$":[65],"$1\\le":[67],"<":[69],"k/2$.":[70]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}