{"id":"https://openalex.org/W2975797543","doi":"https://doi.org/10.37236/9154","title":"Stack Sorting with Increasing and Decreasing Stacks","display_name":"Stack Sorting with Increasing and Decreasing Stacks","publication_year":2020,"publication_date":"2020-01-10","ids":{"openalex":"https://openalex.org/W2975797543","doi":"https://doi.org/10.37236/9154","mag":"2975797543"},"language":"en","primary_location":{"id":"doi:10.37236/9154","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9154","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i1p1/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":"article","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/v27i1p1/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015643450","display_name":"Giulio Cerbai","orcid":"https://orcid.org/0000-0002-7020-4020"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giulio Cerbai","raw_affiliation_strings":["University of Firenze"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Firenze","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Lapo Cioni","orcid":null},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lapo Cioni","raw_affiliation_strings":["University of Firenze"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Firenze","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":null,"display_name":"Luca Ferrari","orcid":null},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Ferrari","raw_affiliation_strings":["University of Florence"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Florence","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00712544,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"1","first_page":"82","last_page":"87"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9199000000953674,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9199000000953674,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stack","display_name":"Stack (abstract data type)","score":0.7342896461486816},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.5383201241493225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42831701040267944},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.38335224986076355},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.13463962078094482},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0812196135520935}],"concepts":[{"id":"https://openalex.org/C9395851","wikidata":"https://www.wikidata.org/wiki/Q177929","display_name":"Stack (abstract data type)","level":2,"score":0.7342896461486816},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.5383201241493225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42831701040267944},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.38335224986076355},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.13463962078094482},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0812196135520935}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.37236/9154","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9154","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i1p1/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:1910.03578","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.03578","pdf_url":"https://arxiv.org/pdf/1910.03578","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":"pmh:oai:flore.unifi.it:2158/1182469","is_oa":true,"landing_page_url":"http://hdl.handle.net/2158/1182469","pdf_url":"https://flore.unifi.it/bitstream/2158/1182469/2/9154-PDF%20file-30554-2-10-20200104.pdf","source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"mag:2979870507","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1910.03578","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":"pmh:oai:flore.unifi.it:2158/1136557","is_oa":true,"landing_page_url":"http://hdl.handle.net/2158/1136557","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.48550/arxiv.1910.03578","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1910.03578","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"},{"id":"mag:2975797543","is_oa":false,"landing_page_url":"https://flore.unifi.it/bitstream/2158/1136557/1/PP2018Abstract_Cerbai_Ferrari.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.37236/9154","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9154","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i1p1/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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2975797543.pdf","grobid_xml":"https://content.openalex.org/works/W2975797543.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W6605093462","https://openalex.org/W6820176132"],"related_works":["https://openalex.org/W2796257962","https://openalex.org/W2799998676","https://openalex.org/W2474330910","https://openalex.org/W2982757808","https://openalex.org/W2409421756","https://openalex.org/W3204487650","https://openalex.org/W152698381","https://openalex.org/W2381187503","https://openalex.org/W2372558933","https://openalex.org/W2042957339","https://openalex.org/W2595864772","https://openalex.org/W2801186172","https://openalex.org/W3018341679","https://openalex.org/W2126436988","https://openalex.org/W2043772124","https://openalex.org/W2369900172","https://openalex.org/W2017461851","https://openalex.org/W1671942308","https://openalex.org/W2927385215","https://openalex.org/W2154540158"],"abstract_inverted_index":{"We":[0,97,121],"introduce":[1],"a":[2,61,127],"sorting":[3,90,104],"machine":[4,39],"consisting":[5],"of":[6,57,71,102],"$k+1$":[7],"stacks":[8,14],"in":[9,19,109,117],"series:":[10],"the":[11,27,31,37,46,55,94,118,123],"first":[12],"$k$":[13],"can":[15,77],"only":[16,113],"contain":[17],"elements":[18],"decreasing":[20],"order":[21],"from":[22],"top":[23],"to":[24,81],"bottom,":[25],"while":[26],"last":[28],"one":[29,110],"has":[30],"opposite":[32],"restriction.":[33],"This":[34,75],"device":[35],"generalizes":[36],"$\\mathfrak{DI}$":[38],"introduced":[40],"by":[41,66,125],"Rebecca":[42],"Smith,":[43],"which":[44],"studies":[45],"case":[47,95,111],"$k=1$.":[48],"Here":[49],"we":[50,86],"show":[51],"that,":[52],"for":[53,93],"$k=2$,":[54],"set":[56],"sortable":[58],"permutations":[59],"is":[60],"class":[62],"with":[63],"infinite":[64],"basis,":[65],"explicitly":[67],"finding":[68],"an":[69,88],"antichain":[70],"minimal":[72],"nonsortable":[73],"permutations.":[74],"construction":[76],"easily":[78],"be":[79],"adapted":[80],"each":[82],"$k\\geqslant":[83],"3$.":[84],"Next":[85],"describe":[87],"optimal":[89],"algorithm,":[91],"again":[92],"$k=2$.":[96],"then":[98],"analyze":[99],"two":[100],"types":[101],"left-greedy":[103],"procedures,":[105],"obtaining":[106],"complete":[107],"results":[108,116],"and":[112],"some":[114],"partial":[115],"other":[119],"one.":[120],"close":[122],"paper":[124],"discussing":[126],"few":[128],"open":[129],"questions.":[130]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}