{"id":"https://openalex.org/W2220972252","doi":"https://doi.org/10.1007/s00453-016-0192-1","title":"On the Succinct Representation of Equivalence Classes","display_name":"On the Succinct Representation of Equivalence Classes","publication_year":2016,"publication_date":"2016-07-27","ids":{"openalex":"https://openalex.org/W2220972252","doi":"https://doi.org/10.1007/s00453-016-0192-1","mag":"2220972252"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-016-0192-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-016-0192-1","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","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/A5006968554","display_name":"Hicham El-Zein","orcid":"https://orcid.org/0000-0001-8745-9540"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Hicham El-Zein","raw_affiliation_strings":["David Cheriton School of Computer Science, University of Waterloo, Ontario, Canada"],"raw_orcid":"https://orcid.org/0000-0001-8745-9540","affiliations":[{"raw_affiliation_string":"David Cheriton School of Computer Science, University of Waterloo, Ontario, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012404981","display_name":"Moshe Lewenstein","orcid":"https://orcid.org/0000-0002-8272-244X"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Moshe Lewenstein","raw_affiliation_strings":["Department of Computer Science, Bar Ilan University, Ramat Gan, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Bar Ilan University, Ramat Gan, Israel","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108095454","display_name":"J. Ian Munro","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. Ian Munro","raw_affiliation_strings":["David Cheriton School of Computer Science, University of Waterloo, Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"David Cheriton School of Computer Science, University of Waterloo, Ontario, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073311967","display_name":"Venkatesh Raman","orcid":"https://orcid.org/0000-0001-8123-0980"},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Venkatesh Raman","raw_affiliation_strings":["The Institute of Mathematical Sciences, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, Chennai, India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032955418","display_name":"Timothy M. Chan","orcid":"https://orcid.org/0000-0002-8093-0675"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Timothy M. Chan","raw_affiliation_strings":["David Cheriton School of Computer Science, University of Waterloo, Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"David Cheriton School of Computer Science, University of Waterloo, Ontario, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006968554"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.644,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.89300146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"78","issue":"3","first_page":"1020","last_page":"1040"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998999834060669,"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":0.9998999834060669,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9975000023841858,"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/T11106","display_name":"Data Management and Algorithms","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/theory-of-computation","display_name":"Theory of computation","score":0.6091225147247314},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.542960524559021},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5070638656616211},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4945671260356903},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4696687161922455},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4601393938064575},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44704511761665344},{"id":"https://openalex.org/keywords/equivalence-class","display_name":"Equivalence class (music)","score":0.4313493072986603},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4292258620262146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4287126362323761},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.4238257110118866},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.4180612862110138},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20409995317459106}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6091225147247314},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.542960524559021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5070638656616211},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4945671260356903},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4696687161922455},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4601393938064575},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44704511761665344},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.4313493072986603},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4292258620262146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4287126362323761},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.4238257110118866},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.4180612862110138},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20409995317459106}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00453-016-0192-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-016-0192-1","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:uwspace.uwaterloo.ca:10012/8999","is_oa":false,"landing_page_url":"http://hdl.handle.net/10012/8999","pdf_url":null,"source":{"id":"https://openalex.org/S4306401661","display_name":"UWSpace (University of Waterloo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I151746483","host_organization_name":"University of Waterloo","host_organization_lineage":["https://openalex.org/I151746483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Master Thesis"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321481","display_name":"Canada Excellence Research Chairs, Government of Canada","ror":"https://ror.org/02tvrwm90"},{"id":"https://openalex.org/F4320321487","display_name":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W127947978","https://openalex.org/W1482484961","https://openalex.org/W1490692072","https://openalex.org/W1577072106","https://openalex.org/W1591595764","https://openalex.org/W1592629156","https://openalex.org/W1599317246","https://openalex.org/W1600708628","https://openalex.org/W1602434374","https://openalex.org/W1608371561","https://openalex.org/W1655990431","https://openalex.org/W1864523757","https://openalex.org/W1973276585","https://openalex.org/W1974033543","https://openalex.org/W2006162221","https://openalex.org/W2018338704","https://openalex.org/W2027181837","https://openalex.org/W2037118252","https://openalex.org/W2047619746","https://openalex.org/W2051671786","https://openalex.org/W2060963839","https://openalex.org/W2061916218","https://openalex.org/W2063302961","https://openalex.org/W2067411846","https://openalex.org/W2074286662","https://openalex.org/W2077229436","https://openalex.org/W2090021115","https://openalex.org/W2100970422","https://openalex.org/W2114790712","https://openalex.org/W2116365500","https://openalex.org/W2126700562","https://openalex.org/W2128777897","https://openalex.org/W2148113067","https://openalex.org/W2763207634","https://openalex.org/W2914551285","https://openalex.org/W4237754109","https://openalex.org/W4245755354"],"related_works":["https://openalex.org/W3161249280","https://openalex.org/W2267059662","https://openalex.org/W4388411807","https://openalex.org/W2364268683","https://openalex.org/W2478803962","https://openalex.org/W3169430512","https://openalex.org/W4250775169","https://openalex.org/W2384804534","https://openalex.org/W2154069781","https://openalex.org/W2304968498"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
