{"id":"https://openalex.org/W2035448420","doi":"https://doi.org/10.1145/1292535.1292541","title":"A persistent union-find data structure","display_name":"A persistent union-find data structure","publication_year":2007,"publication_date":"2007-10-02","ids":{"openalex":"https://openalex.org/W2035448420","doi":"https://doi.org/10.1145/1292535.1292541","mag":"2035448420"},"language":"en","primary_location":{"id":"doi:10.1145/1292535.1292541","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1292535.1292541","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 workshop on Workshop on ML","raw_type":"proceedings-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/A5005087679","display_name":"Sylvain Conchon","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":"Sylvain Conchon","raw_affiliation_strings":["Universit\u00e9 Paris-Sud, Orsay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Sud, Orsay, France","institution_ids":["https://openalex.org/I102197404"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084552310","display_name":"Jean-Christophe Filli\u00e2tre","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Christophe Filli\u00e2tre","raw_affiliation_strings":["CNRS, Orsay, France","CNRS, Orsay, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Orsay, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS, Orsay, France#TAB#","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.8128,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.95814055,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"37","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","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/T10126","display_name":"Logic, programming, and type systems","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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/computer-science","display_name":"Computer science","score":0.611474871635437},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4000423550605774}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.611474871635437},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4000423550605774}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1292535.1292541","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1292535.1292541","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 workshop on Workshop on ML","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.79.8494","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.79.8494","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lri.fr/~filliatr/ftp/publis/puf-wml07.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1517566965","https://openalex.org/W1553511155","https://openalex.org/W1949275316","https://openalex.org/W1986022261","https://openalex.org/W1986402635","https://openalex.org/W1987189637","https://openalex.org/W2030670832","https://openalex.org/W2105045857","https://openalex.org/W2130816688","https://openalex.org/W2139797442","https://openalex.org/W2142947709","https://openalex.org/W2153131284","https://openalex.org/W2752885492","https://openalex.org/W2753176400","https://openalex.org/W4213048098","https://openalex.org/W4249958171","https://openalex.org/W6679455809"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,14,33,56,77,98,108,142],"disjoint":[3],"sets,":[4],"also":[5,128],"known":[6,49],"as":[7,83,85],"union-find,":[8],"consists":[9],"in":[10,68],"maintaining":[11],"a":[12,15,19,27,37,62,69,78,105,109,119,130],"partition":[13],"finite":[16],"set":[17],"within":[18],"data":[20,58,81,110],"structure.":[21],"This":[22,72],"structure":[23,59,82,111],"provides":[24],"two":[25,41],"operations:":[26],"function":[28,38],"find":[29],"returning":[30],"the":[31,53,75,133,140],"class":[32],"an":[34],"element":[35],"and":[36,45,101,145],"union":[39],"merging":[40],"classes.":[42],"An":[43],"optimal":[44],"imperative":[46,54,87,99],"solution":[47,94,144],"is":[48,66,104],"since":[50],"1975.":[51],"However,":[52],"nature":[55],"this":[57,91,124],"may":[60],"be":[61],"drawback":[63],"when":[64],"it":[65,103],"used":[67],"backtracking":[70],"algorithm.":[71],"paper":[73],"details":[74],"implementation":[76],"persistent":[79,120],"union-find":[80],"efficient":[84],"its":[86,146],"counterpart.":[88],"To":[89,122],"achieve":[90],"result,":[92],"our":[93,143],"makes":[95],"heavy":[96],"use":[97],"features":[100],"thus":[102],"significant":[106],"example":[107],"whose":[112],"side":[113],"effects":[114],"are":[115],"safely":[116],"hidden":[117],"behind":[118],"interface.":[121],"strengthen":[123],"last":[125],"claim,":[126],"we":[127],"detail":[129],"formalization":[131],"using":[132],"Coq":[134],"proof":[135],"assistant":[136],"which":[137],"shows":[138],"both":[139],"correctness":[141],"observational":[147],"persistence.":[148]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
