{"id":"https://openalex.org/W2068419198","doi":"https://doi.org/10.1137/0222019","title":"Two Probabilistic Results on Merging","display_name":"Two Probabilistic Results on Merging","publication_year":1993,"publication_date":"1993-04-01","ids":{"openalex":"https://openalex.org/W2068419198","doi":"https://doi.org/10.1137/0222019","mag":"2068419198"},"language":"en","primary_location":{"id":"doi:10.1137/0222019","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0222019","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":"https://openalex.org/A5111734790","display_name":"Wenceslas Fernandez de la Vega","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Wenceslas Fernandez de la Vega","raw_affiliation_strings":["Universit\u00e9 Paris Sud, Orsay, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris Sud, Orsay, France","institution_ids":["https://openalex.org/I102197404"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103555404","display_name":"Sampath Kannan","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sampath Kannan","raw_affiliation_strings":["University of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046562790","display_name":"Mikl\u00f3s S\u00e1ntha","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Miklos Santha","raw_affiliation_strings":["Universit\u00e9 Paris Sud, Orsay, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris Sud, Orsay, France","institution_ids":["https://openalex.org/I102197404"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111734790"],"corresponding_institution_ids":["https://openalex.org/I102197404"],"apc_list":null,"apc_paid":null,"fwci":0.7673,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.66134185,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"22","issue":"2","first_page":"261","last_page":"271"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9991999864578247,"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":0.9940000176429749,"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/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.8183348178863525},{"id":"https://openalex.org/keywords/merge","display_name":"Merge (version control)","score":0.67031329870224},{"id":"https://openalex.org/keywords/probabilistic-analysis-of-algorithms","display_name":"Probabilistic analysis of algorithms","score":0.6284559369087219},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5588445663452148},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5559113025665283},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5413420796394348},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5140413045883179},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4602438807487488},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.43664199113845825},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.42381569743156433},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3986467123031616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3611898124217987},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09642365574836731},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.07393541932106018}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.8183348178863525},{"id":"https://openalex.org/C197129107","wikidata":"https://www.wikidata.org/wiki/Q1921621","display_name":"Merge (version control)","level":2,"score":0.67031329870224},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.6284559369087219},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5588445663452148},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5559113025665283},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5413420796394348},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5140413045883179},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4602438807487488},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.43664199113845825},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.42381569743156433},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3986467123031616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3611898124217987},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09642365574836731},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.07393541932106018},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0222019","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0222019","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1978676087","https://openalex.org/W1988690071","https://openalex.org/W2023146810","https://openalex.org/W2025719573","https://openalex.org/W2039556858","https://openalex.org/W2069153338","https://openalex.org/W2093205069","https://openalex.org/W2093811663","https://openalex.org/W3198160809"],"related_works":["https://openalex.org/W830096938","https://openalex.org/W1983915440","https://openalex.org/W2109606716","https://openalex.org/W2030292806","https://openalex.org/W2189202191","https://openalex.org/W2177346860","https://openalex.org/W1603360336","https://openalex.org/W1903582155","https://openalex.org/W2145856894","https://openalex.org/W2943623134"],"abstract_inverted_index":{"This":[0,20,48,81],"paper":[1,21,49,82],"contains":[2],"two":[3,8],"probabilistic":[4,24],"results":[5],"about":[6],"merging":[7,96],"sorted":[9],"lists":[10],"of":[11,95],"sizes":[12],"n":[13],"and":[14],"m":[15],"with":[16],"$m":[17],"<":[18,42,100,104],"n$.":[19],"designs":[22],"a":[23,53,91],"algorithm,":[25],"which":[26],"in":[27,38],"the":[28,39],"worst":[29],"case":[30,87],"is":[31,75],"significantly":[32,76],"faster":[33,77],"than":[34,78],"any":[35,61],"deterministic":[36],"one":[37],"range":[40],"$1.618":[41],"{n":[43,101],"/":[44,64,70,102],"m}":[45,71],"\\leqslant":[46],"3$.":[47],"extends":[50],"it":[51,74],"into":[52],"simple":[54],"general":[55],"algorithm":[56],"that":[57],"performs":[58],"well":[59],"for":[60,68,90],"ratio":[62],"${n":[63,69],"m}$.":[65],"In":[66],"particular,":[67],">":[72],"1.618$":[73],"binary":[79],"merge.":[80],"also":[83],"proves":[84],"an":[85],"average":[86],"lower":[88],"bound":[89],"widely":[92],"studied":[93],"class":[94],"algorithms,":[97],"when":[98],"$1":[99],"{m":[103],"\\sqrt":[105],"2":[106],"}}":[107],"+":[108],"1$.":[109]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-26T15:22:09.906841","created_date":"2025-10-10T00:00:00"}
