{"id":"https://openalex.org/W4416105961","doi":"https://doi.org/10.1017/s0963548325100266","title":"A rainbow Dirac theorem for loose Hamilton cycles in hypergraphs","display_name":"A rainbow Dirac theorem for loose Hamilton cycles in hypergraphs","publication_year":2025,"publication_date":"2025-11-11","ids":{"openalex":"https://openalex.org/W4416105961","doi":"https://doi.org/10.1017/s0963548325100266"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548325100266","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548325100266","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","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/A5073278465","display_name":"Amarja Kathapurkar","orcid":null},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Amarja Kathapurkar","raw_affiliation_strings":["University of Birmingham","University of Birmingham, Birmingham, UK"],"affiliations":[{"raw_affiliation_string":"University of Birmingham","institution_ids":["https://openalex.org/I79619799"]},{"raw_affiliation_string":"University of Birmingham, Birmingham, UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006467582","display_name":"Patrick Morris","orcid":"https://orcid.org/0000-0001-9359-0748"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Patrick Morris","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya (UPC)"],"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya (UPC)","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086363230","display_name":"Guillem Perarnau","orcid":"https://orcid.org/0000-0002-1953-9511"},"institutions":[{"id":"https://openalex.org/I4210122226","display_name":"Centre de Recerca Matem\u00e0tica","ror":"https://ror.org/020s51w82","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210122226","https://openalex.org/I4387153040"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Guillem Perarnau","raw_affiliation_strings":["Centre de Recerca Matem\u00e0tica","Universitat Polit\u00e8cnica de Catalunya (UPC)"],"affiliations":[{"raw_affiliation_string":"Centre de Recerca Matem\u00e0tica","institution_ids":["https://openalex.org/I4210122226"]},{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya (UPC)","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006467582"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.42419398,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"2","first_page":"149","last_page":"177"},"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":0.9016000032424927,"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":0.9016000032424927,"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":0.03889999911189079,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.013399999588727951,"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/rainbow","display_name":"Rainbow","score":0.7538999915122986},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7434999942779541},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.6680999994277954},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6172000169754028},{"id":"https://openalex.org/keywords/dirac","display_name":"Dirac (video compression format)","score":0.3359000086784363}],"concepts":[{"id":"https://openalex.org/C2776558979","wikidata":"https://www.wikidata.org/wiki/Q1052","display_name":"Rainbow","level":2,"score":0.7538999915122986},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7434999942779541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7368999719619751},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.6680999994277954},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6172000169754028},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.605400025844574},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4627000093460083},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.3359000086784363},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2847000062465668},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.2289000004529953}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548325100266","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548325100266","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1923478559","https://openalex.org/W1969731303","https://openalex.org/W1971079746","https://openalex.org/W1971367602","https://openalex.org/W1973286131","https://openalex.org/W1980948271","https://openalex.org/W1983085249","https://openalex.org/W1991646384","https://openalex.org/W1999115197","https://openalex.org/W2001766673","https://openalex.org/W2042125214","https://openalex.org/W2042587503","https://openalex.org/W2053158631","https://openalex.org/W2054249991","https://openalex.org/W2082184422","https://openalex.org/W2083870048","https://openalex.org/W2099989374","https://openalex.org/W2118882118","https://openalex.org/W2165149312","https://openalex.org/W2299881678","https://openalex.org/W2478722229","https://openalex.org/W2529837827","https://openalex.org/W2743499480","https://openalex.org/W2962779929","https://openalex.org/W2963962936","https://openalex.org/W3001294237","https://openalex.org/W3006754732","https://openalex.org/W3046120522","https://openalex.org/W4210634265","https://openalex.org/W4299798129","https://openalex.org/W4386857772"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"A":[1],"meta-conjecture":[2],"of":[3,30,39,46,52,86],"Coulson,":[4],"Keevash,":[5],"Perarnau,":[6],"and":[7],"Yepremyan":[8],"[12]":[9],"states":[10],"that":[11,31,57],"above":[12,71],"the":[13,40,47,72],"extremal":[14],"threshold":[15,75],"for":[16,58,76],"a":[17,22,27,67,77,89],"given":[18],"spanning":[19,32],"structure":[20,33],"in":[21,34],"(hyper-)graph,":[23],"one":[24,45],"can":[25],"find":[26],"rainbow":[28,90],"version":[29],"any":[35,59,82],"suitably":[36],"bounded":[37,84],"colouring":[38,85],"host":[41],"(hyper-)graph.":[42],"We":[43],"solve":[44],"most":[48],"pertinent":[49],"outstanding":[50],"cases":[51],"this":[53],"conjecture":[54],"by":[55],"showing":[56],"$1\\leq":[60],"j\\leq":[61],"k-1$":[62],",":[63],"if":[64],"$G$":[65,87],"is":[66],"$k$":[68],"-uniform":[69],"hypergraph":[70],"$j$":[73],"-degree":[74],"loose":[78,91],"Hamilton":[79,92],"cycle,":[80],"then":[81],"globally":[83],"contains":[88],"cycle.":[93]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-11-11T00:00:00"}