{"id":"https://openalex.org/W1994165550","doi":"https://doi.org/10.1016/0196-6774(80)90003-6","title":"An analysis of (h, k, 1)-Shellsort","display_name":"An analysis of (h, k, 1)-Shellsort","publication_year":1980,"publication_date":"1980-03-01","ids":{"openalex":"https://openalex.org/W1994165550","doi":"https://doi.org/10.1016/0196-6774(80)90003-6","mag":"1994165550"},"language":"en","primary_location":{"id":"doi:10.1016/0196-6774(80)90003-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0196-6774(80)90003-6","pdf_url":null,"source":{"id":"https://openalex.org/S110520077","display_name":"Journal of Algorithms","issn_l":"0196-6774","issn":["0196-6774","1090-2678"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Algorithms","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":"https://openalex.org/A5076560802","display_name":"Andrew Chi-Chih Yao","orcid":"https://orcid.org/0000-0002-3648-5594"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andrew Chi-Chih Yao","raw_affiliation_strings":["Computer Science Department, Stanford University, Stanford, California 94305, USA","Computer Science Department Stanford University Stanford, California 94305 USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Stanford University, Stanford, California 94305, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Computer Science Department Stanford University Stanford, California 94305 USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076560802"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.07655727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":"1","first_page":"14","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998000264167786,"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":0.9998000264167786,"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/T12029","display_name":"DNA and Biological Computing","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8059512376785278},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7782359719276428},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.762473464012146},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.6356824040412903},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.6135601997375488},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.49787259101867676},{"id":"https://openalex.org/keywords/combinatorial-analysis","display_name":"Combinatorial analysis","score":0.4311656951904297},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42438751459121704},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3196512758731842},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.21561607718467712},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09255221486091614}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8059512376785278},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7782359719276428},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.762473464012146},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.6356824040412903},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.6135601997375488},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.49787259101867676},{"id":"https://openalex.org/C2987825933","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorial analysis","level":2,"score":0.4311656951904297},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42438751459121704},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3196512758731842},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.21561607718467712},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09255221486091614},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0196-6774(80)90003-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0196-6774(80)90003-6","pdf_url":null,"source":{"id":"https://openalex.org/S110520077","display_name":"Journal of Algorithms","issn_l":"0196-6774","issn":["0196-6774","1090-2678"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W210753160","https://openalex.org/W1483444214","https://openalex.org/W1497373391","https://openalex.org/W1981177980","https://openalex.org/W2012188345","https://openalex.org/W2069724827","https://openalex.org/W3143622134","https://openalex.org/W4392612164","https://openalex.org/W6628972573","https://openalex.org/W6629686324"],"related_works":["https://openalex.org/W2095055219","https://openalex.org/W2362374543","https://openalex.org/W2116295091","https://openalex.org/W4319430205","https://openalex.org/W3121711078","https://openalex.org/W927337369","https://openalex.org/W3198265738","https://openalex.org/W2353068449","https://openalex.org/W2348196682","https://openalex.org/W2085265870"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}