{"id":"https://openalex.org/W1558456282","doi":"https://doi.org/10.37236/390","title":"Cyclic partitions of complete uniform hypergraphs","display_name":"Cyclic partitions of complete uniform hypergraphs","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W1558456282","doi":"https://doi.org/10.37236/390","mag":"1558456282"},"language":"en","primary_location":{"id":"doi:10.37236/390","is_oa":true,"landing_page_url":"https://doi.org/10.37236/390","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r118/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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r118/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102139179","display_name":"Artur Szyma\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Artur Szyma\u0144ski","raw_affiliation_strings":["Faculty of Applied Mathemetics AGH University of Science and Technology Cracow, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathemetics AGH University of Science and Technology Cracow, Poland","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080088496","display_name":"A. Pawe\u0142 Wojda","orcid":null},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"A. Pawe\u0142 Wojda","raw_affiliation_strings":["Faculty of Applied Mathemetics AGH University of Science and Technology Cracow, Poland","AGH University of Science and Technology ,"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathemetics AGH University of Science and Technology Cracow, Poland","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"AGH University of Science and Technology ,","institution_ids":["https://openalex.org/I686019"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102139179"],"corresponding_institution_ids":["https://openalex.org/I686019"],"apc_list":null,"apc_paid":null,"fwci":0.2886,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.59404995,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9916999936103821,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9883999824523926,"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/combinatorics","display_name":"Combinatorics","score":0.8503261804580688},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7984480857849121},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.7771871089935303},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.7156864404678345},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6102380156517029},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5521383285522461},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.5334357023239136},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42769595980644226},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09120944142341614}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8503261804580688},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7984480857849121},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.7771871089935303},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.7156864404678345},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6102380156517029},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5521383285522461},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.5334357023239136},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42769595980644226},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09120944142341614},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/390","is_oa":true,"landing_page_url":"https://doi.org/10.37236/390","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r118/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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/390","is_oa":true,"landing_page_url":"https://doi.org/10.37236/390","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r118/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":null,"license_id":null,"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":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1558456282.pdf","grobid_xml":"https://content.openalex.org/works/W1558456282.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W626092751","https://openalex.org/W1001955675","https://openalex.org/W1604219824","https://openalex.org/W1750236713","https://openalex.org/W1977808884","https://openalex.org/W1980013700","https://openalex.org/W1984523325","https://openalex.org/W2055944593","https://openalex.org/W2056400482","https://openalex.org/W2072270436","https://openalex.org/W2111378096","https://openalex.org/W2493895485"],"related_works":["https://openalex.org/W4376608589","https://openalex.org/W3138003926","https://openalex.org/W4300037846","https://openalex.org/W1630514295","https://openalex.org/W1537073411","https://openalex.org/W2963081352","https://openalex.org/W4376608938","https://openalex.org/W2777980911","https://openalex.org/W4287905741","https://openalex.org/W4280528977"],"abstract_inverted_index":{"By":[0,100],"$K^{(k)}_n$":[1,66],"we":[2,60,84,102,165,174],"denote":[3,103],"the":[4,16,19,26,40,54,76,104,107,113],"complete":[5],"$k$-uniform":[6],"hypergraph":[7,17,105],"of":[8,23,31,39,53,65,98,109,115,130,155,171,200],"order":[9],"$n$,":[10,83],"$1\\le":[11],"k":[12],"\\le":[13],"n-1$,":[14],"i.e.":[15],"with":[18,106],"set":[20,27,41,55,108,114,134],"$V_n=\\{":[21],"1,2,...,n\\}$":[22],"vertices":[24,110],"and":[25,67,82,88,112,132,173,189,195],"$V_n":[28,56],"\\choose":[29,57],"k$":[30,58],"edges.":[32],"If":[33,124],"there":[34,125],"exists":[35],"a":[36,51,73,86,92,127,133,153,168,185,198],"permutation":[37,93,97,128,209],"$\\sigma$":[38,68,129,177],"$V_n$":[42,111,131],"such":[43,144],"that":[44,145,176,182],"$\\{":[45,146],"E,\\sigma":[46],"(E),...,":[47,149],"\\sigma^{q-1}(E)":[48],"\\}$":[49,143,151,163],"is":[50,69,126,152,178,193,197,210],"partition":[52],"then":[59,164],"call":[61,166],"it":[62,167],"cyclic":[63,169,186],"$q$-partition":[64],"said":[70],"to":[71,94],"be":[72,95],"$(q,k)$-complementing.":[74],"In":[75],"paper,":[77],"for":[78,91],"arbitrary":[79],"integers":[80],"$k,q$":[81],"give":[85],"necessary":[87],"sufficient":[89],"condition":[90],"$(q,k)$-complementing":[96],"$K^{(k)}_n$.":[99],"$\\tilde{K}_n$":[101,183],"edges":[116],"$2^{V_n}":[117],"-":[118,138,158],"\\{":[119,139,159],"\\emptyset":[120,140,160],",":[121,141,161],"V_n":[122,142,162],"\\}$.":[123],"$E":[135],"\\subset":[136],"2^{V_n}":[137,157],"E,":[147],"\\sigma":[148],"\\sigma^{p-1}(E)":[150],"$p$-partition":[154,170,187],"$":[156],"$K_n$":[172],"say":[175],"$p$-complementing.":[179],"We":[180],"prove":[181],"has":[184],"if":[188,191],"only":[190],"$p$":[192,201],"prime":[194],"$n$":[196],"power":[199],"(and":[202],"$n":[203],">":[204],"p$).":[205],"Moreover,":[206],"any":[207],"$p$-complementing":[208],"cyclic.":[211]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}