{"id":"https://openalex.org/W3004979518","doi":"https://doi.org/10.1109/tnse.2021.3086508","title":"Graph Matching Between Bipartite and Unipartite Networks: To Collapse, or Not to Collapse, That Is the Question","display_name":"Graph Matching Between Bipartite and Unipartite Networks: To Collapse, or Not to Collapse, That Is the Question","publication_year":2021,"publication_date":"2021-06-04","ids":{"openalex":"https://openalex.org/W3004979518","doi":"https://doi.org/10.1109/tnse.2021.3086508","mag":"3004979518","pmid":"https://pubmed.ncbi.nlm.nih.gov/35224127"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2021.3086508","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2021.3086508","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Network Science and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2002.01648","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057389361","display_name":"Jes\u00fas Arroyo","orcid":"https://orcid.org/0000-0003-3071-9043"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jesus Arroyo","raw_affiliation_strings":["University of Maryland, College Park"],"raw_orcid":"https://orcid.org/0000-0003-3071-9043","affiliations":[{"raw_affiliation_string":"University of Maryland, College Park","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031834098","display_name":"Carey E. Priebe","orcid":"https://orcid.org/0000-0002-0139-7201"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]},{"id":"https://openalex.org/I2799853436","display_name":"Johns Hopkins Medicine","ror":"https://ror.org/037zgn354","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I2799853436"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Carey E. Priebe","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, and the Center for Imaging Science, Johns Hopkins University, Baltimore, MD 21218"],"raw_orcid":"https://orcid.org/0000-0002-0139-7201","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, and the Center for Imaging Science, Johns Hopkins University, Baltimore, MD 21218","institution_ids":["https://openalex.org/I145311948","https://openalex.org/I2799853436"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014425850","display_name":"Vince Lyzinski","orcid":"https://orcid.org/0000-0001-5594-8956"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vince Lyzinski","raw_affiliation_strings":["Department of Mathematics, University of Maryland, College Park, MD 20742"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maryland, College Park, MD 20742","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.13,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53575514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"8","issue":"4","first_page":"3019","last_page":"3033"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9976999759674072,"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":0.9976999759674072,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9908999800682068,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.9125679135322571},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.732758641242981},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6523525714874268},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5521121621131897},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5245050191879272},{"id":"https://openalex.org/keywords/blossom-algorithm","display_name":"Blossom algorithm","score":0.4664919376373291},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15787208080291748}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.9125679135322571},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.732758641242981},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6523525714874268},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5521121621131897},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5245050191879272},{"id":"https://openalex.org/C61455927","wikidata":"https://www.wikidata.org/wiki/Q1030529","display_name":"Blossom algorithm","level":3,"score":0.4664919376373291},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15787208080291748},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/tnse.2021.3086508","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2021.3086508","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Network Science and Engineering","raw_type":"journal-article"},{"id":"pmid:35224127","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35224127","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on network science and engineering","raw_type":null},{"id":"pmh:oai:arXiv.org:2002.01648","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.01648","pdf_url":"https://arxiv.org/pdf/2002.01648","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":null,"raw_type":"text"},{"id":"mag:3004979518","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2002.01648.pdf","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":"pmh:oai:pubmedcentral.nih.gov:8865401","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8865401","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Netw Sci Eng","raw_type":"Text"},{"id":"doi:10.48550/arxiv.2002.01648","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2002.01648","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2002.01648","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.01648","pdf_url":"https://arxiv.org/pdf/2002.01648","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2294702441","display_name":null,"funder_award_id":"FA8750-18-2-0035","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G7580193832","display_name":null,"funder_award_id":"BRAIN U01-NS108637","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G8704297084","display_name":null,"funder_award_id":"U01 NS108637","funder_id":"https://openalex.org/F4320337359","funder_display_name":"National Institute of Neurological Disorders and Stroke"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320337359","display_name":"National Institute of Neurological Disorders and Stroke","ror":"https://ror.org/01s5ya894"},{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":93,"referenced_works":["https://openalex.org/W1528905581","https://openalex.org/W1529588943","https://openalex.org/W1701622840","https://openalex.org/W1871689251","https://openalex.org/W1875335003","https://openalex.org/W1880262756","https://openalex.org/W1893639437","https://openalex.org/W1967573895","https://openalex.org/W1969880349","https://openalex.org/W1973396420","https://openalex.org/W1974105260","https://openalex.org/W1974682889","https://openalex.org/W1976430844","https://openalex.org/W1976466396","https://openalex.org/W1986705681","https://openalex.org/W1987643017","https://openalex.org/W2000116444","https://openalex.org/W2010824638","https://openalex.org/W2018731294","https://openalex.org/W2024892001","https://openalex.org/W2033222113","https://openalex.org/W2044490483","https://openalex.org/W2068674173","https://openalex.org/W2076248831","https://openalex.org/W2093745477","https://openalex.org/W2097360283","https://openalex.org/W2102086994","https://openalex.org/W2109294083","https://openalex.org/W2120340025","https://openalex.org/W2125156589","https://openalex.org/W2128208871","https://openalex.org/W2128521126","https://openalex.org/W2132555912","https://openalex.org/W2133576408","https://openalex.org/W2151128232","https://openalex.org/W2154290889","https://openalex.org/W2159675343","https://openalex.org/W2167200240","https://openalex.org/W2190928263","https://openalex.org/W2252481082","https://openalex.org/W2257375677","https://openalex.org/W2271033212","https://openalex.org/W2341535507","https://openalex.org/W2419507445","https://openalex.org/W2467373245","https://openalex.org/W2562162676","https://openalex.org/W2749224256","https://openalex.org/W2769874548","https://openalex.org/W2796491734","https://openalex.org/W2907185643","https://openalex.org/W2962795007","https://openalex.org/W2962912239","https://openalex.org/W2962947748","https://openalex.org/W2963003280","https://openalex.org/W2963143232","https://openalex.org/W2963168157","https://openalex.org/W2963183635","https://openalex.org/W2963484323","https://openalex.org/W2963701864","https://openalex.org/W2963968474","https://openalex.org/W2964017521","https://openalex.org/W2964057608","https://openalex.org/W3029645440","https://openalex.org/W3089164792","https://openalex.org/W3098834468","https://openalex.org/W3098888484","https://openalex.org/W3103475671","https://openalex.org/W3106319742","https://openalex.org/W3122882889","https://openalex.org/W4293052541","https://openalex.org/W4294541781","https://openalex.org/W4301861531","https://openalex.org/W4388323202","https://openalex.org/W6631813622","https://openalex.org/W6639417271","https://openalex.org/W6639619044","https://openalex.org/W6640168808","https://openalex.org/W6643539270","https://openalex.org/W6678604968","https://openalex.org/W6679993304","https://openalex.org/W6682227116","https://openalex.org/W6682342736","https://openalex.org/W6684299589","https://openalex.org/W6687656297","https://openalex.org/W6703949738","https://openalex.org/W6734468469","https://openalex.org/W6743941670","https://openalex.org/W6746252341","https://openalex.org/W6749180256","https://openalex.org/W6753155968","https://openalex.org/W6767390704","https://openalex.org/W6779862254","https://openalex.org/W6868925584"],"related_works":["https://openalex.org/W3167750278","https://openalex.org/W2011784682","https://openalex.org/W3116112683","https://openalex.org/W2903132768","https://openalex.org/W3208633956","https://openalex.org/W3117298090","https://openalex.org/W2951155941","https://openalex.org/W1977149746","https://openalex.org/W2950884682","https://openalex.org/W1865107109","https://openalex.org/W2129406249","https://openalex.org/W1967761844","https://openalex.org/W2948839854","https://openalex.org/W2983178467","https://openalex.org/W3011549831","https://openalex.org/W3008027580","https://openalex.org/W2899448946","https://openalex.org/W3092432922","https://openalex.org/W2368364341","https://openalex.org/W2951824725"],"abstract_inverted_index":{"Graph":[0],"matching":[1,72,94,138,157],"consists":[2],"of":[3,7,45,88,136,162],"aligning":[4],"the":[5,15,21,39,46,59,76,92,113,137,159,164,172],"vertices":[6],"two":[8],"unlabeled":[9],"graphs":[10,22,47],"in":[11,42,75,153,179],"order":[12],"to":[13,48,82,111],"maximize":[14],"shared":[16],"structure":[17],"across":[18],"networks;":[19],"when":[20],"are":[23,62],"unipartite,":[24,168],"this":[25,35,116],"is":[26,50,56,126],"commonly":[27],"formulated":[28],"as":[29,74],"minimizing":[30],"their":[31],"edge":[32,84],"disagreements.":[33],"In":[34,140],"paper":[36],"we":[37,146,170],"address":[38],"common":[40],"setting":[41],"which":[43],"one":[44,55],"match":[49],"a":[51,67,97,100,154,186],"bipartite":[52,60,98,165],"network":[53,188],"and":[54,70,86,99,108,128,142,169,181,190,193],"unipartite.":[57],"Commonly,":[58],"networks":[61,166],"collapsed":[63],"or":[64],"projected":[65],"into":[66,167],"unipartite":[68,101],"graph,":[69],"graph":[71,93,102],"proceeds":[73],"classical":[77],"setting.":[78],"This":[79],"potentially":[80],"leads":[81],"noisy":[83],"estimates":[85],"loss":[87],"information.":[89],"We":[90,120],"formulate":[91],"problem":[95],"between":[96],"using":[103],"an":[104],"undirected":[105],"graphical":[106],"model,":[107],"introduce":[109],"methods":[110,150],"find":[112],"alignment":[114],"with":[115],"model":[117],"without":[118],"collapsing.":[119],"theoretically":[121],"demonstrate":[122,171],"that":[123,132],"our":[124,149,177],"methodology":[125],"consistent,":[127],"provide":[129],"non-asymptotic":[130],"conditions":[131],"ensure":[133],"exact":[134],"recovery":[135],"solution.":[139],"simulations":[141],"real":[143,182],"data":[144,183],"examples,":[145],"show":[147],"how":[148],"can":[151],"result":[152],"more":[155],"accurate":[156],"than":[158],"naive":[160],"approach":[161],"transforming":[163],"performance":[173],"gains":[174],"achieved":[175],"by":[176],"method":[178],"simulated":[180],"networks,":[184],"including":[185],"co-authorship-citation":[187],"pair,":[189],"brain":[191],"structural":[192],"functional":[194],"data.":[195]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
