{"id":"https://openalex.org/W130774143","doi":"https://doi.org/10.37236/4803","title":"Exact Forbidden Subposet Results using Chain Decompositions of the Cycle","display_name":"Exact Forbidden Subposet Results using Chain Decompositions of the Cycle","publication_year":2015,"publication_date":"2015-11-27","ids":{"openalex":"https://openalex.org/W130774143","doi":"https://doi.org/10.37236/4803","mag":"130774143"},"language":"en","primary_location":{"id":"doi:10.37236/4803","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4803","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i4p29/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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i4p29/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041720529","display_name":"Abhishek Methuku","orcid":"https://orcid.org/0000-0002-5244-5365"},"institutions":[{"id":"https://openalex.org/I198945027","display_name":"Central European University","ror":"https://ror.org/02zx40v98","country_code":"AT","type":"education","lineage":["https://openalex.org/I198945027"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Abhishek Methuku","raw_affiliation_strings":["Central European University"],"affiliations":[{"raw_affiliation_string":"Central European University","institution_ids":["https://openalex.org/I198945027"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018137609","display_name":"Casey Tompkins","orcid":"https://orcid.org/0000-0003-2618-0604"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Casey Tompkins","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics\r\nand \r\nCentral European University","Alfr\u00e9d R\u00e9nyi Institute of Mathematics#R##N#and #R##N#Central European University"],"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics\r\nand \r\nCentral European University","institution_ids":[]},{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics#R##N#and #R##N#Central European University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041720529"],"corresponding_institution_ids":["https://openalex.org/I198945027"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00069735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"4","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":0.9998000264167786,"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":0.9998000264167786,"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":0.9969000220298767,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9937000274658203,"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/partially-ordered-set","display_name":"Partially ordered set","score":0.8439958095550537},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6644408106803894},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.662329912185669},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5368488430976868},{"id":"https://openalex.org/keywords/cyclic-permutation","display_name":"Cyclic permutation","score":0.5217617154121399},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.48317399621009827},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4307924211025238},{"id":"https://openalex.org/keywords/family-of-sets","display_name":"Family of sets","score":0.41519036889076233},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3488292396068573},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34022098779678345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24379518628120422},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14155784249305725},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.07655197381973267},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.045867860317230225}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.8439958095550537},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6644408106803894},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.662329912185669},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5368488430976868},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.5217617154121399},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.48317399621009827},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4307924211025238},{"id":"https://openalex.org/C150591576","wikidata":"https://www.wikidata.org/wiki/Q739925","display_name":"Family of sets","level":3,"score":0.41519036889076233},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3488292396068573},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34022098779678345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24379518628120422},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14155784249305725},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.07655197381973267},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.045867860317230225},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/4803","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4803","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i4p29/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:1411.0415","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1411.0415","pdf_url":"https://arxiv.org/pdf/1411.0415","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:130774143","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1411.0415.pdf","pdf_url":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1411.0415","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1411.0415","pdf_url":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.37236/4803","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4803","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i4p29/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":true},"content_urls":{"pdf":"https://content.openalex.org/works/W130774143.pdf","grobid_xml":"https://content.openalex.org/works/W130774143.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1618271650","https://openalex.org/W1972409259","https://openalex.org/W2007473634","https://openalex.org/W2084019246","https://openalex.org/W2085024048","https://openalex.org/W2121851282","https://openalex.org/W2156839380","https://openalex.org/W2168216008","https://openalex.org/W2172170617","https://openalex.org/W2594581776","https://openalex.org/W2604650262","https://openalex.org/W3100431406"],"related_works":["https://openalex.org/W2964246750","https://openalex.org/W3100074001","https://openalex.org/W2743384536","https://openalex.org/W2963752713","https://openalex.org/W2036440872","https://openalex.org/W598990766","https://openalex.org/W2577246944","https://openalex.org/W2795001315","https://openalex.org/W3098371085","https://openalex.org/W2067267940","https://openalex.org/W2805362492","https://openalex.org/W2953072482","https://openalex.org/W1967223908","https://openalex.org/W3105910676","https://openalex.org/W2786870567","https://openalex.org/W2950412371","https://openalex.org/W2952430972","https://openalex.org/W3037411436","https://openalex.org/W2474757319","https://openalex.org/W3102212759"],"abstract_inverted_index":{"We":[0,51,72],"introduce":[1],"a":[2,11,36,66],"method":[3],"of":[4,8,20,24,26,46],"decomposing":[5],"the":[6,18,21,44,47,62,68,75],"family":[7,23],"intervals":[9],"along":[10],"cyclic":[12],"permutation":[13],"into":[14],"chains":[15],"to":[16],"determine":[17],"size":[19,45],"largest":[22,48],"subsets":[25],"$[n]$":[27],"not":[28],"containing":[29,61],"one":[30],"or":[31],"more":[32],"given":[33],"posets":[34,60],"as":[35,65],"subposet.":[37],"De":[38],"Bonis,":[39],"Katona":[40],"and":[41],"Swanepoel":[42],"determined":[43],"butterfly-free":[49],"family.":[50],"strengthen":[52],"this":[53],"result":[54],"by":[55],"showing":[56],"that,":[57],"for":[58],"certain":[59],"butterfly":[63],"poset":[64],"subposet,":[67],"same":[69],"bound":[70],"holds.":[71],"also":[73],"obtain":[74],"corresponding":[76],"LYM-type":[77],"inequalities.":[78]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}