{"id":"https://openalex.org/W2025882791","doi":"https://doi.org/10.1137/s0097539792240893","title":"Priority Queues and Permutations","display_name":"Priority Queues and Permutations","publication_year":1994,"publication_date":"1994-12-01","ids":{"openalex":"https://openalex.org/W2025882791","doi":"https://doi.org/10.1137/s0097539792240893","mag":"2025882791"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539792240893","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539792240893","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"M. D. Atkinson","orcid":null},"institutions":[{"id":"https://openalex.org/I16835326","display_name":"University of St Andrews","ror":"https://ror.org/02wn5qz54","country_code":"GB","type":"education","lineage":["https://openalex.org/I16835326"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"M. D. Atkinson","raw_affiliation_strings":["University of St Andrews"],"affiliations":[{"raw_affiliation_string":"University of St Andrews","institution_ids":["https://openalex.org/I16835326"]}]},{"author_position":"last","author":{"id":null,"display_name":"Robert Beals","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert Beals","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16835326"],"apc_list":null,"apc_paid":null,"fwci":1.0567,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75530904,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"23","issue":"6","first_page":"1225","last_page":"1230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9983000159263611,"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":0.998199999332428,"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/sigma","display_name":"Sigma","score":0.8502528667449951},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8001693487167358},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7720060348510742},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6098967790603638},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5323818922042847},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5230154395103455},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4839746952056885},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.4474937915802002},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.4413703680038452},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18138068914413452},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15676069259643555}],"concepts":[{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.8502528667449951},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8001693487167358},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7720060348510742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6098967790603638},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5323818922042847},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5230154395103455},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4839746952056885},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.4474937915802002},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.4413703680038452},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18138068914413452},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15676069259643555},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0097539792240893","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539792240893","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:alma.01RUT_INST:11664891100004646","is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/journalArticle/Priority-queues-and-permutations/991031665484104646","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2005212141","https://openalex.org/W2017788080","https://openalex.org/W2077866342","https://openalex.org/W2752885492","https://openalex.org/W4242999670"],"related_works":["https://openalex.org/W4312527695","https://openalex.org/W2361167282","https://openalex.org/W1528932152","https://openalex.org/W2091342995","https://openalex.org/W1677394555","https://openalex.org/W2271118953","https://openalex.org/W3007067598","https://openalex.org/W2359420171","https://openalex.org/W4287905741","https://openalex.org/W4280528977"],"abstract_inverted_index":{"A":[0],"priority":[1],"queue":[2],"transforms":[3],"an":[4,16],"input":[5],"permutation":[6,18],"$\\sigma":[7],"$":[8,20,24,73,82],"of":[9,12,25,80],"some":[10],"set":[11,22],"size":[13],"n":[14],"into":[15],"output":[17],"$\\tau":[19],"The":[21],"$R_n":[23,81],"such":[26],"related":[27],"pairs":[28],"$(\\sigma":[29],",\\tau":[30,43,54],")$":[31],"is":[32,74,83],"studied.":[33],"Efficient":[34],"algorithms":[35],"for":[36],"determining":[37],"$s(\\tau":[38],")":[39,44,50,55],"=":[40,51,67],"|\\sigma":[41],":(\\sigma":[42,53],"\\in":[45,56],"R_n":[46,57],"|$,":[47],"and":[48,76],"$t(\\sigma":[49],"|\\tau":[52],"|$":[58],"are":[59],"given,":[60,75],"a":[61],"new":[62],"proof":[63],"that":[64],"$|R_n":[65],"|":[66],"(n":[68],"+":[69],"1)^{n":[70],"-":[71],"1}":[72],"the":[77],"transitive":[78],"closure":[79],"found.":[84]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2016-06-24T00:00:00"}