{"id":"https://openalex.org/W1914132564","doi":"https://doi.org/10.37236/1607","title":"A Finite Word Poset","display_name":"A Finite Word Poset","publication_year":2000,"publication_date":"2000-07-26","ids":{"openalex":"https://openalex.org/W1914132564","doi":"https://doi.org/10.37236/1607","mag":"1914132564"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.37236/1607","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v8i2r8/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},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v8i2r8/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037065021","display_name":"P\u00e9ter L. Erd\u0151s","orcid":"https://orcid.org/0000-0002-1139-2316"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"P\u00e9ter L. Erd\u0151s","raw_affiliation_strings":["R\u00e9nyi Institute of Mathematics Hungarian Academy of Sciences, Budapest, P.O. Box 127, H-1364 Hungary"],"affiliations":[{"raw_affiliation_string":"R\u00e9nyi Institute of Mathematics Hungarian Academy of Sciences, Budapest, P.O. Box 127, H-1364 Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009320630","display_name":"P\u00e9ter Sziklai","orcid":"https://orcid.org/0000-0001-5323-0887"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"P\u00e9ter Sziklai","raw_affiliation_strings":["R\u00e9nyi Institute of Mathematics Hungarian Academy of Sciences, Budapest, P.O. Box 127, H-1364 Hungary"],"affiliations":[{"raw_affiliation_string":"R\u00e9nyi Institute of Mathematics Hungarian Academy of Sciences, Budapest, P.O. Box 127, H-1364 Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046315920","display_name":"David C. Torney","orcid":null},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"David C. Torney","raw_affiliation_strings":["Technical and E\u00f6tv\u00f6s Universities, Budapest"],"affiliations":[{"raw_affiliation_string":"Technical and E\u00f6tv\u00f6s Universities, Budapest","institution_ids":["https://openalex.org/I106118109"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009320630"],"corresponding_institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"],"apc_list":{"value":0,"currency":"USD","value_usd":0,"provenance":"doaj"},"apc_paid":null,"fwci":0.41,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":8,"citation_normalized_percentile":{"value":0.650867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":78,"max":79},"biblio":{"volume":"8","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9997,"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/T11567","display_name":"semigroups and automata theory","score":0.9997,"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/T11130","display_name":"Coding theory and cryptography","score":0.9965,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9926,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/antichain","display_name":"Antichain","score":0.55001074},{"id":"https://openalex.org/keywords/star-product","display_name":"Star product","score":0.501024}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.8595319},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.85465086},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7790749},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.7682481},{"id":"https://openalex.org/C137877099","wikidata":"https://www.wikidata.org/wiki/Q1332977","display_name":"Subsequence","level":3,"score":0.5609466},{"id":"https://openalex.org/C136134351","wikidata":"https://www.wikidata.org/wiki/Q431937","display_name":"Antichain","level":3,"score":0.55001074},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.52378786},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5191747},{"id":"https://openalex.org/C195800304","wikidata":"https://www.wikidata.org/wiki/Q7601281","display_name":"Star product","level":2,"score":0.501024},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.46963665},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.42195234},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38775194},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0664978},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.37236/1607","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v8i2r8/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}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.37236/1607","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v8i2r8/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},"sustainable_development_goals":[{"score":0.67,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":16,"referenced_works":["https://openalex.org/W1514324498","https://openalex.org/W178414959","https://openalex.org/W1966413154","https://openalex.org/W1967642740","https://openalex.org/W1970898500","https://openalex.org/W1996644489","https://openalex.org/W2052840523","https://openalex.org/W2068795011","https://openalex.org/W2072578197","https://openalex.org/W2073286344","https://openalex.org/W2076508310","https://openalex.org/W2084913436","https://openalex.org/W2087567316","https://openalex.org/W2092357676","https://openalex.org/W2224932111","https://openalex.org/W4243963023"],"related_works":["https://openalex.org/W3213974985","https://openalex.org/W3159352419","https://openalex.org/W28336341","https://openalex.org/W2142715583","https://openalex.org/W2142262870","https://openalex.org/W2111205855","https://openalex.org/W2084453534","https://openalex.org/W2013313833","https://openalex.org/W1967014394","https://openalex.org/W1854642140"],"abstract_inverted_index":{"Our":[0],"word":[1,29,56],"posets":[2,42],"have":[3],"finite":[4,18],"words":[5,14],"of":[6,27,33,40],"bounded":[7],"length":[8],"as":[9,30],"their":[10],"elements,":[11],"with":[12,51],"the":[13,25,55,72],"composed":[15],"from":[16,24],"a":[17,28,31,66],"alphabet.":[19],"Their":[20,45],"partial":[21],"ordering":[22],"follows":[23],"inclusion":[26],"subsequence":[32],"another":[34],"word.":[35],"The":[36],"elemental":[37],"combinatorial":[38],"properties":[39],"such":[41],"are":[43,48],"established.":[44],"automorphism":[46],"groups":[47],"determined":[49],"(along":[50],"similar":[52],"result":[53],"for":[54],"poset":[57],"studied":[58],"by":[59],"Burosch,":[60],"Frank":[61],"and":[62,65],"R\u00f6hl":[63],"[4])":[64],"BLYM":[67],"inequality":[68],"is":[69],"verified":[70],"(via":[71],"normalized":[73],"matching":[74],"property).":[75]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1914132564","counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2024-12-19T12:37:20.116203","created_date":"2016-06-24"}