{"id":"https://openalex.org/W4394626101","doi":"https://doi.org/10.1051/ita/2024010","title":"Sorting with a popqueue","display_name":"Sorting with a popqueue","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4394626101","doi":"https://doi.org/10.1051/ita/2024010"},"language":"en","primary_location":{"id":"doi:10.1051/ita/2024010","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ita/2024010","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/2024/01/ita220051.pdf","source":{"id":"https://openalex.org/S4220651353","display_name":"RAIRO. Theoretical informatics and applications","issn_l":"2804-7346","issn":["2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.rairo-ita.org/articles/ita/pdf/2024/01/ita220051.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032928017","display_name":"Lapo Cioni","orcid":"https://orcid.org/0000-0002-4605-8473"},"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"]},{"id":"https://openalex.org/I4402554200","display_name":"Liceo scientifico statale Ulisse Dini","ror":"https://ror.org/006xg2x43","country_code":null,"type":"education","lineage":["https://openalex.org/I4402554200"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lapo Cioni","raw_affiliation_strings":["Dipartimento di Matematica e Informatica \u201cU. Dini\u201d, University of Firenze, Firenze, Italy","Dipartimento di Matematica e Informatica \"U. Dini\", University of Firenze, Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica \u201cU. Dini\u201d, University of Firenze, Firenze, Italy","institution_ids":["https://openalex.org/I45084792","https://openalex.org/I4402554200"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica \"U. Dini\", University of Firenze, Firenze, Italy","institution_ids":["https://openalex.org/I45084792","https://openalex.org/I4402554200"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017390053","display_name":"Luca Ferrari","orcid":"https://orcid.org/0000-0001-8096-6865"},"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"]},{"id":"https://openalex.org/I4402554200","display_name":"Liceo scientifico statale Ulisse Dini","ror":"https://ror.org/006xg2x43","country_code":null,"type":"education","lineage":["https://openalex.org/I4402554200"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Luca Ferrari","raw_affiliation_strings":["Dipartimento di Matematica e Informatica \u201cU. Dini\u201d, University of Firenze, Firenze, Italy","Dipartimento di Matematica e Informatica \"U. Dini\", University of Firenze, Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica \u201cU. Dini\u201d, University of Firenze, Firenze, Italy","institution_ids":["https://openalex.org/I45084792","https://openalex.org/I4402554200"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica \"U. Dini\", University of Firenze, Firenze, Italy","institution_ids":["https://openalex.org/I45084792","https://openalex.org/I4402554200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017390053"],"corresponding_institution_ids":["https://openalex.org/I4402554200","https://openalex.org/I45084792"],"apc_list":null,"apc_paid":null,"fwci":0.3804,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58549553,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"58","issue":null,"first_page":"13","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9979000091552734,"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":0.9979000091552734,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9973000288009644,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9842000007629395,"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/sorting","display_name":"Sorting","score":0.47863879799842834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4026726186275482},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10482347011566162}],"concepts":[{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.47863879799842834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4026726186275482},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10482347011566162}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ita/2024010","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ita/2024010","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/2024/01/ita220051.pdf","source":{"id":"https://openalex.org/S4220651353","display_name":"RAIRO. Theoretical informatics and applications","issn_l":"2804-7346","issn":["2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},{"id":"pmh:oai:flore.unifi.it:2158/1356565","is_oa":true,"landing_page_url":"https://hdl.handle.net/2158/1356565","pdf_url":"https://flore.unifi.it/bitstream/2158/1356565/1/ita220051.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1051/ita/2024010","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ita/2024010","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/2024/01/ita220051.pdf","source":{"id":"https://openalex.org/S4220651353","display_name":"RAIRO. Theoretical informatics and applications","issn_l":"2804-7346","issn":["2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4394626101.pdf"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W652886863","https://openalex.org/W2006800405","https://openalex.org/W2017788080","https://openalex.org/W2063451706","https://openalex.org/W2077866342","https://openalex.org/W2129036921","https://openalex.org/W2963004472","https://openalex.org/W3006907031","https://openalex.org/W3030809477","https://openalex.org/W3112239781","https://openalex.org/W3192615413","https://openalex.org/W3194100480","https://openalex.org/W4309456324"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2739612537","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857"],"abstract_inverted_index":{"We":[0,46,77,151],"introduce":[1],"a":[2,16,58,62,87,98,140,148],"new":[3],"sorting":[4],"device":[5],"for":[6,100,105,165,183],"permutations,":[7],"which":[8,64],"we":[9,111,124,172],"call":[10],"popqueue":[11],".":[12],"It":[13],"consists":[14],"of":[15,74,93,117,120,131,135,142,145,147,160,186],"special":[17],"queue,":[18,32],"having":[19,162,180],"the":[20,31,35,39,44,91,108,115,118,136,143,158],"property":[21],"that":[22,90,176],"any":[23,184],"time":[24],"one":[25],"wants":[26],"to":[27,56,68],"extract":[28],"elements":[29,36],"from":[30],"actually":[33],"all":[34],"currently":[37],"in":[38,72],"queue":[40],"are":[41],"poured":[42],"into":[43],"output.":[45],"illustrate":[47],"two":[48,84],"distinct":[49],"optimal":[50],"algorithms,":[51],"called":[52],"Min":[53],"and":[54,138,171],"Cons,":[55],"sort":[57],"permutation":[59],"using":[60],"such":[61],"device,":[63],"allow":[65],"us":[66],"also":[67,112,152],"characterize":[69],"sortable":[70,94,121],"permutations":[71,95,161,179],"terms":[73],"pattern":[75],"avoidance.":[76],"next":[78],"investigate":[79],"what":[80],"happens":[81],"by":[82,174],"making":[83],"passes":[85],"through":[86],"popqueue,":[88],"showing":[89],"set":[92,144],"is":[96,104],"not":[97],"class":[99,119],"Min,":[101],"whereas":[102],"it":[103],"Cons.":[106],"In":[107],"latter":[109],"case":[110],"explicitly":[113],"find":[114,139],"basis":[116],"permutations.":[122],"Finally,":[123],"study":[125],"preimages":[126,146,182],"under":[127],"Cons":[128],"(by":[129],"means":[130],"an":[132],"equivalent":[133],"version":[134],"algorithm),":[137],"characterization":[141],"given":[149],"permutation.":[150],"give":[153],"some":[154],"enumerative":[155],"results":[156],"concerning":[157],"number":[159],"k":[163,166,181,187],"preimages,":[164],"=":[167],"1,":[168],"2,":[169],"3,":[170],"conclude":[173],"observing":[175],"there":[177],"exist":[178],"value":[185],"\u2265":[188],"0.":[189]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-12-31T23:11:33.660297","created_date":"2025-10-10T00:00:00"}