{"id":"https://openalex.org/W2611531222","doi":"https://doi.org/10.23638/dmtcs-19-2-4","title":"Splittability and 1-amalgamability of permutation classes","display_name":"Splittability and 1-amalgamability of permutation classes","publication_year":2017,"publication_date":"2017-12-05","ids":{"openalex":"https://openalex.org/W2611531222","doi":"https://doi.org/10.23638/dmtcs-19-2-4","mag":"2611531222"},"language":"en","primary_location":{"id":"doi:10.23638/dmtcs-19-2-4","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-19-2-4","pdf_url":"https://dmtcs.episciences.org/4125/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dmtcs.episciences.org/4125/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005488534","display_name":"V\u00edt Jel\u00ednek","orcid":"https://orcid.org/0000-0003-4831-4079"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"V\u00edt Jel\u00ednek","raw_affiliation_strings":["Computer Science Institute, Charles University in Prague"],"affiliations":[{"raw_affiliation_string":"Computer Science Institute, Charles University in Prague","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006649123","display_name":"Michal Opler","orcid":"https://orcid.org/0000-0002-4389-5807"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Michal Opler","raw_affiliation_strings":["Computer Science Institute, Charles University in Prague"],"affiliations":[{"raw_affiliation_string":"Computer Science Institute, Charles University in Prague","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005488534"],"corresponding_institution_ids":["https://openalex.org/I21250087"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07145645,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Vol. 19 no. 2, Permutation...","issue":"Permutation Patterns","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9994999766349792,"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":0.9994999766349792,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9973999857902527,"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":0.996999979019165,"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/permutation","display_name":"Permutation (music)","score":0.5057399272918701},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4041751027107239},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33729881048202515},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.12205138802528381}],"concepts":[{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5057399272918701},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4041751027107239},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33729881048202515},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.12205138802528381},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.23638/dmtcs-19-2-4","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-19-2-4","pdf_url":"https://dmtcs.episciences.org/4125/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1704.08732","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.08732","pdf_url":"https://arxiv.org/pdf/1704.08732","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":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:638429479a274c1a83284ff735729c12","is_oa":true,"landing_page_url":"https://doaj.org/article/638429479a274c1a83284ff735729c12","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science, Vol Vol. 19 no. 2, Permutation..., Iss Permutation Patterns (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.23638/dmtcs-19-2-4","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-19-2-4","pdf_url":"https://dmtcs.episciences.org/4125/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.41999998688697815}],"awards":[{"id":"https://openalex.org/G4433407297","display_name":null,"funder_award_id":"16-01602Y","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2611531222.pdf","grobid_xml":"https://content.openalex.org/works/W2611531222.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1981803420","https://openalex.org/W2019819273","https://openalex.org/W2099673747","https://openalex.org/W2166495646","https://openalex.org/W2964309395","https://openalex.org/W4250654443"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","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"],"abstract_inverted_index":{"A":[0],"permutation":[1,41,76],"class":[2,82],"$C$":[3,44],"is":[4,8,21,85,92],"splittable":[5,87],"if":[6,23],"it":[7,20],"contained":[9],"in":[10,30,43],"a":[11,34,40],"merge":[12],"of":[13,15,75,97,107],"two":[14,25,53],"its":[16],"proper":[17],"subclasses,":[18],"and":[19,28,48,69,88,103],"1-amalgamable":[22],"given":[24],"permutations":[26],"$\\sigma$":[27,47],"$\\tau$":[29,49],"$C$,":[31],"each":[32],"with":[33],"marked":[35,54],"element,":[36],"we":[37,100],"can":[38],"find":[39],"$\\pi$":[42],"containing":[45],"both":[46,86],"such":[50],"that":[51,61,67,80],"the":[52,81,95],"elements":[55],"coincide.":[56],"It":[57],"was":[58],"previously":[59],"shown":[60],"unsplittability":[62,68],"implies":[63],"1-amalgamability.":[64],"We":[65],"prove":[66],"1-amalgamability":[70],"are":[71],"not":[72],"equivalent":[73],"properties":[74],"classes":[77],"by":[78],"showing":[79],"$Av(1423,":[83],"1342)$":[84],"1-amalgamable.":[89],"Our":[90],"construction":[91],"based":[93],"on":[94],"concept":[96],"LR-inflations,":[98],"which":[99,104],"introduce":[101],"here":[102],"may":[105],"be":[106],"independent":[108],"interest.":[109],"Comment:":[110],"17":[111],"pages,":[112],"7":[113],"figures":[114]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
