{"id":"https://openalex.org/W2739458878","doi":"https://doi.org/10.1145/3196959.3196988","title":"Reconciling Graphs and Sets of Sets","display_name":"Reconciling Graphs and Sets of Sets","publication_year":2018,"publication_date":"2018-05-15","ids":{"openalex":"https://openalex.org/W2739458878","doi":"https://doi.org/10.1145/3196959.3196988","mag":"2739458878"},"language":"en","primary_location":{"id":"doi:10.1145/3196959.3196988","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3196959.3196988","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3196959.3196988","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3196959.3196988","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062318856","display_name":"Michael Mitzenmacher","orcid":"https://orcid.org/0000-0001-5430-5457"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Mitzenmacher","raw_affiliation_strings":["Harvard University, Cambridge, MA, USA","Harvard University, Cambridge, MA,#R#                USA"],"affiliations":[{"raw_affiliation_string":"Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I2801851002"]},{"raw_affiliation_string":"Harvard University, Cambridge, MA,#R#                USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079834850","display_name":"Thomas Morgan","orcid":"https://orcid.org/0000-0002-4017-3147"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tom Morgan","raw_affiliation_strings":["Harvard University, Cambridge, MA, USA","Harvard University, Cambridge, MA,#R#                USA"],"affiliations":[{"raw_affiliation_string":"Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I2801851002"]},{"raw_affiliation_string":"Harvard University, Cambridge, MA,#R#                USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062318856"],"corresponding_institution_ids":["https://openalex.org/I2801851002"],"apc_list":null,"apc_paid":null,"fwci":0.195,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53733522,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"33","last_page":"47"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11478","display_name":"Caching and Content Delivery","score":0.9959999918937683,"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"}},"topics":[{"id":"https://openalex.org/T11478","display_name":"Caching and Content Delivery","score":0.9959999918937683,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9449999928474426,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9437000155448914,"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/generalization","display_name":"Generalization","score":0.7025370001792908},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5903212428092957},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5695292949676514},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5633235573768616},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.5353574752807617},{"id":"https://openalex.org/keywords/universe","display_name":"Universe","score":0.5092822313308716},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.500967264175415},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.45713791251182556},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.44950026273727417},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44467049837112427},{"id":"https://openalex.org/keywords/alice","display_name":"Alice (programming language)","score":0.44454145431518555},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3764444589614868},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3394045829772949},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3370886743068695},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.20487922430038452},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.15625634789466858},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06531497836112976}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7025370001792908},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5903212428092957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5695292949676514},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5633235573768616},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.5353574752807617},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.5092822313308716},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.500967264175415},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.45713791251182556},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.44950026273727417},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44467049837112427},{"id":"https://openalex.org/C2778222013","wikidata":"https://www.wikidata.org/wiki/Q1136926","display_name":"Alice (programming language)","level":2,"score":0.44454145431518555},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3764444589614868},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3394045829772949},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3370886743068695},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.20487922430038452},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.15625634789466858},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06531497836112976},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3196959.3196988","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3196959.3196988","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3196959.3196988","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1707.05867","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.05867","pdf_url":"https://arxiv.org/pdf/1707.05867","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2739458878","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1707.05867","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1707.05867","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1707.05867","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1145/3196959.3196988","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3196959.3196988","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3196959.3196988","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1023616090","display_name":null,"funder_award_id":"CCF-1563710","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6050657354","display_name":null,"funder_award_id":"CNS-1228598","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6133564518","display_name":null,"funder_award_id":"CCF-1535795","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6289631934","display_name":"AF: Small: Data Synchronization : Theory, Algorithms, and Practice","funder_award_id":"1320231","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6647242665","display_name":"TWC: Medium: Collaborative: Privacy-Preserving Distributed Storage and Computation","funder_award_id":"1228598","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8648019094","display_name":"AitF: FULL: Collaborative Research: Better Hashing for Applications:  From Nuts & Bolts to Asymptotics","funder_award_id":"1535795","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2739458878.pdf","grobid_xml":"https://content.openalex.org/works/W2739458878.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1593069050","https://openalex.org/W1599026900","https://openalex.org/W1655990431","https://openalex.org/W1865107109","https://openalex.org/W1978478796","https://openalex.org/W2017024025","https://openalex.org/W2037633400","https://openalex.org/W2043020364","https://openalex.org/W2051748083","https://openalex.org/W2052728310","https://openalex.org/W2074286662","https://openalex.org/W2078238962","https://openalex.org/W2080132708","https://openalex.org/W2088263428","https://openalex.org/W2102086994","https://openalex.org/W2103126020","https://openalex.org/W2108572348","https://openalex.org/W2126609747","https://openalex.org/W2129406249","https://openalex.org/W2132069633","https://openalex.org/W2142423295","https://openalex.org/W2169039581","https://openalex.org/W2190928263","https://openalex.org/W2245073910","https://openalex.org/W2409204489","https://openalex.org/W2409645877","https://openalex.org/W2905110430","https://openalex.org/W2952154472","https://openalex.org/W2962708783","https://openalex.org/W2962814541","https://openalex.org/W2963136930","https://openalex.org/W4240018112","https://openalex.org/W4254707114"],"related_works":["https://openalex.org/W2963201219","https://openalex.org/W2147428165","https://openalex.org/W2964144002","https://openalex.org/W2951857882","https://openalex.org/W2951449384","https://openalex.org/W3144049911","https://openalex.org/W1530364199","https://openalex.org/W2569248358","https://openalex.org/W2899590372","https://openalex.org/W2863520273","https://openalex.org/W2246744815","https://openalex.org/W2560858284","https://openalex.org/W2991404484","https://openalex.org/W2182346554","https://openalex.org/W3111247941","https://openalex.org/W3106915313","https://openalex.org/W1780575089","https://openalex.org/W2964101983","https://openalex.org/W2206773845","https://openalex.org/W3103995024"],"abstract_inverted_index":{"We":[0,75,95],"explore":[1],"a":[2,21,36,50],"generalization":[3],"of":[4,14,25,38,47,56,60,93,106,117],"set":[5,23],"reconciliation,":[6,100],"where":[7,52],"the":[8,53,65],"goal":[9],"is":[10,73],"to":[11,43,85],"reconcile":[12,44],"sets":[13,46,48,63,105,107],"sets.":[15],"Alice":[16],"and":[17,82,91,114],"Bob":[18],"each":[19,29],"have":[20],"parent":[22],"consisting":[24],"s":[26],"child":[27,62,71],"sets,":[28],"containing":[30],"at":[31],"most":[32],"h":[33],"elements":[34],"from":[35,112],"universe":[37],"size":[39],"u.":[40],"They":[41],"want":[42],"their":[45,61,70],"in":[49],"scenario":[51],"total":[54],"number":[55],"differences":[57],"between":[58,69],"all":[59],"(under":[64],"minimum":[66],"difference":[67],"matching":[68],"sets)":[72],"d.":[74],"give":[76],"several":[77],"algorithms":[78],"for":[79,109,115],"this":[80],"problem,":[81],"discuss":[83],"applications":[84],"reconciliation":[86,108],"problems":[87],"on":[88,98,104],"graphs,":[89],"databases,":[90],"collections":[92],"documents.":[94],"specifically":[96],"focus":[97],"graph":[99],"providing":[101],"protocols":[102],"based":[103],"random":[110],"graphs":[111],"G(n,p)":[113],"forests":[116],"rooted":[118],"trees.":[119]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}