{"id":"https://openalex.org/W2271033212","doi":"https://doi.org/10.1145/2896377.2901460","title":"Improved Achievability and Converse Bounds for Erdos-Renyi Graph Matching","display_name":"Improved Achievability and Converse Bounds for Erdos-Renyi Graph Matching","publication_year":2016,"publication_date":"2016-06-10","ids":{"openalex":"https://openalex.org/W2271033212","doi":"https://doi.org/10.1145/2896377.2901460","mag":"2271033212"},"language":"en","primary_location":{"id":"doi:10.1145/2896377.2901460","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2896377.2901460","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2016 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Science","raw_type":"proceedings-article"},"type":"conference-paper","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/A5089243170","display_name":"Daniel Cullina","orcid":"https://orcid.org/0000-0002-7471-2102"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Cullina","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012789968","display_name":"Negar Kiyavash","orcid":"https://orcid.org/0000-0002-8545-7709"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Negar Kiyavash","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"63","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9894999861717224,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9894999861717224,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9818000197410583,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.8553851842880249},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6531206369400024},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6057108640670776},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5831156969070435},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5214542746543884},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4969346821308136},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4522063434123993},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4229477643966675},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3537377119064331}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.8553851842880249},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6531206369400024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6057108640670776},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5831156969070435},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5214542746543884},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4969346821308136},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4522063434123993},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4229477643966675},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3537377119064331},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2896377.2901460","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2896377.2901460","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2016 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Science","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1957798471","display_name":null,"funder_award_id":"W911NF-15-1-0479","funder_id":"https://openalex.org/F4320333591","funder_display_name":"Multidisciplinary University Research Initiative"},{"id":"https://openalex.org/G559660726","display_name":null,"funder_award_id":"ARMY W911NF-15-1-0479","funder_id":"https://openalex.org/F4320338295","funder_display_name":"Army Research Laboratory"},{"id":"https://openalex.org/G6645882260","display_name":null,"funder_award_id":"ARMY W911NF-15-1-0479","funder_id":"https://openalex.org/F4320333591","funder_display_name":"Multidisciplinary University Research Initiative"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8784373728","display_name":null,"funder_award_id":"CCF 10-54937 - CAREER","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"},{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320338295","display_name":"Army Research Laboratory","ror":"https://ror.org/011hc8f90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1865107109","https://openalex.org/W1971157729","https://openalex.org/W2013863451","https://openalex.org/W2044490483","https://openalex.org/W2068789164","https://openalex.org/W2091476183","https://openalex.org/W2124637492","https://openalex.org/W2129406249","https://openalex.org/W2159675343","https://openalex.org/W2245073910","https://openalex.org/W2905110430","https://openalex.org/W4254707114","https://openalex.org/W6678485558"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2418518962","https://openalex.org/W2963377682","https://openalex.org/W2043159103","https://openalex.org/W2391769344","https://openalex.org/W2359260952","https://openalex.org/W4297790016","https://openalex.org/W2769269860","https://openalex.org/W2020701214","https://openalex.org/W4287585143"],"abstract_inverted_index":{"We":[0,61,110,116],"consider":[1],"the":[2,7,23,27,30,38,44,49,53,63,70,74,99,103,106,133,137,140,145],"problem":[3],"of":[4,19,41,43,93,102,108,136,142,157],"perfectly":[5],"recovering":[6],"vertex":[8,25,39,76],"correspondence":[9,28,57,77],"between":[10,29,144],"two":[11,146,158],"correlated":[12,20,162],"Erdos-Renyi":[13],"(ER)":[14],"graphs.":[15,45,147,163],"For":[16],"a":[17,119,155],"pair":[18],"graphs":[21,54],"on":[22,105,112,139],"same":[24],"set,":[26],"vertices":[31],"can":[32,78],"be":[33,59,79],"obscured":[34],"by":[35,154],"randomly":[36],"permuting":[37],"labels":[40],"one":[42],"In":[46],"some":[47],"cases,":[48],"structural":[50],"information":[51],"in":[52],"allow":[55],"this":[56,94],"to":[58],"recovered.":[60],"investigate":[62],"information-theoretic":[64],"threshold":[65,104,138],"for":[66,159],"exact":[67,126],"recovery,":[68],"i.e.":[69],"conditions":[71,123],"under":[72,124],"which":[73,125],"entire":[75],"correctly":[80],"recovered":[81],"given":[82],"unbounded":[83],"computational":[84],"resources.":[85],"Pedarsani":[86],"and":[87,150],"Grossglauser":[88],"provided":[89],"an":[90],"achievability":[91,114,151],"result":[92,97],"type.":[95],"Their":[96],"establishes":[98],"scaling":[100,134],"dependence":[101,135],"number":[107],"vertices.":[109],"improve":[111],"their":[113],"bound.":[115],"also":[117],"provide":[118],"converse":[120,149],"bound,":[121],"establishing":[122],"recovery":[127],"is":[128],"impossible.":[129],"Together,":[130],"these":[131],"establish":[132],"level":[141],"correlation":[143],"The":[148],"bounds":[152],"differ":[153],"factor":[156],"sparse,":[160],"significantly":[161]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
