{"id":"https://openalex.org/W4413592037","doi":"https://doi.org/10.1145/3762664","title":"Node-Differentially Private Estimation of the Number of Connected Components","display_name":"Node-Differentially Private Estimation of the Number of Connected Components","publication_year":2025,"publication_date":"2025-08-25","ids":{"openalex":"https://openalex.org/W4413592037","doi":"https://doi.org/10.1145/3762664"},"language":"en","primary_location":{"id":"doi:10.1145/3762664","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3762664","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3762664","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3762664","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059418572","display_name":"Iden Kalemaj","orcid":"https://orcid.org/0000-0002-0995-6346"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Iden Kalemaj","raw_affiliation_strings":["Boston University, Boston, Massachusetts, USA","Boston University"],"affiliations":[{"raw_affiliation_string":"Boston University, Boston, Massachusetts, USA","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Boston University","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080839778","display_name":"Sofya Raskhodnikova","orcid":"https://orcid.org/0000-0002-4902-050X"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sofya Raskhodnikova","raw_affiliation_strings":["Boston University, Boston, Massachusetts, USA","Boston University"],"affiliations":[{"raw_affiliation_string":"Boston University, Boston, Massachusetts, USA","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Boston University","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074728200","display_name":"Adam Smith","orcid":"https://orcid.org/0000-0001-9393-1127"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adam Smith","raw_affiliation_strings":["Boston University, Boston, Massachusetts, USA","Boston University"],"affiliations":[{"raw_affiliation_string":"Boston University, Boston, Massachusetts, USA","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Boston University","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069421706","display_name":"Charalampos E. Tsourakakis","orcid":"https://orcid.org/0000-0001-5591-3585"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charalampos Tsourakakis","raw_affiliation_strings":["Boston University, Boston, Massachusetts, USA","Boston University"],"affiliations":[{"raw_affiliation_string":"Boston University, Boston, Massachusetts, USA","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Boston University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5059418572"],"corresponding_institution_ids":["https://openalex.org/I111088046"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11544444,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"1","first_page":"1","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","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/T10764","display_name":"Privacy-Preserving Technologies in Data","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/T10237","display_name":"Cryptography and Data Security","score":0.9987000226974487,"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/T11716","display_name":"Random Matrices and Applications","score":0.972000002861023,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6527138948440552},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.5851152539253235},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.48411619663238525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4826265275478363},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4539099633693695},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3495750427246094},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3117891848087311},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10218894481658936}],"concepts":[{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6527138948440552},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.5851152539253235},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.48411619663238525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4826265275478363},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4539099633693695},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3495750427246094},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3117891848087311},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10218894481658936},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3762664","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3762664","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3762664","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3762664","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3762664","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3762664","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4413592037.pdf","grobid_xml":"https://content.openalex.org/works/W4413592037.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W18223240","https://openalex.org/W188453470","https://openalex.org/W204323566","https://openalex.org/W630423399","https://openalex.org/W1523918473","https://openalex.org/W1557833142","https://openalex.org/W1586209290","https://openalex.org/W1774950136","https://openalex.org/W1818923311","https://openalex.org/W1886450519","https://openalex.org/W1925003247","https://openalex.org/W1992461601","https://openalex.org/W1993116423","https://openalex.org/W2009946412","https://openalex.org/W2017509273","https://openalex.org/W2028584480","https://openalex.org/W2054063908","https://openalex.org/W2061784418","https://openalex.org/W2066865129","https://openalex.org/W2080900058","https://openalex.org/W2082227928","https://openalex.org/W2086924628","https://openalex.org/W2088011174","https://openalex.org/W2089554624","https://openalex.org/W2101771965","https://openalex.org/W2125678004","https://openalex.org/W2150611147","https://openalex.org/W2153624566","https://openalex.org/W2163288205","https://openalex.org/W2166037832","https://openalex.org/W2169861334","https://openalex.org/W2436309872","https://openalex.org/W2503846958","https://openalex.org/W2515312139","https://openalex.org/W2566032744","https://openalex.org/W2620961206","https://openalex.org/W2626769593","https://openalex.org/W2897278297","https://openalex.org/W2921425899","https://openalex.org/W2961344605","https://openalex.org/W2963697313","https://openalex.org/W2963862932","https://openalex.org/W2963970591","https://openalex.org/W3001405476","https://openalex.org/W3019440225","https://openalex.org/W3030115066","https://openalex.org/W3102719874","https://openalex.org/W3108449706","https://openalex.org/W3126642835","https://openalex.org/W3129153384","https://openalex.org/W3136115669","https://openalex.org/W3143219376","https://openalex.org/W3173549438","https://openalex.org/W3207208702","https://openalex.org/W4313203118","https://openalex.org/W4327652982","https://openalex.org/W6910507049"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W2576994247","https://openalex.org/W1882246857","https://openalex.org/W2608353378","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W4249206767","https://openalex.org/W1992365905","https://openalex.org/W1976691234"],"abstract_inverted_index":{"We":[0,127,174],"design":[1],"the":[2,9,55,89,140,147,156,161,169,212,218,222,225,240],"first":[3],"node-differentially":[4],"private":[5,67],"algorithm":[6,37,87],"for":[7,72,83,88,211,224],"approximating":[8],"number":[10,75,90,141,213],"of":[11,60,64,76,91,123,134,139,142,149,155,163,172,196,214,221,230,238,243],"connected":[12,92,125,143,215],"components":[13,93,144,216],"in":[14,39,182],"a":[15,18,31,61,73,121,124,132,150,185,193],"graph.":[16,126],"Given":[17],"database":[19,77],"representing":[20],"an":[21,86],"\\(":[22,27],"n":[23],"\\)":[24,29],"-vertex":[25],"graph":[26,97,119,186],"G":[28],"and":[30],"privacy":[32,113],"parameter":[33],"\\(\\varepsilon\\)":[34],",":[35,46],"our":[36,164,208,244],"runs":[38],"polynomial":[40],"time":[41],"and,":[42],"with":[43,106,187],"probability":[44],"\\(1-o(1)\\)":[45],"has":[47,192],"additive":[48],"error":[49,242],"\\(\\widetilde{O}(\\frac{\\Delta^{*}\\ln\\ln":[50],"n}{\\varepsilon}),\\)":[51],"where":[52],"\\(\\Delta^{*}\\)":[53],"is":[54,94,99,114,120,159,166,247],"smallest":[56],"possible":[57,227],"maximum":[58],"degree":[59,197],"spanning":[62,151,180,194],"forest":[63,170,195],"\\(G.\\)":[65,173],"Node-differentially":[66],"algorithms":[68],"are":[69],"known":[70],"only":[71],"small":[74],"analysis":[78],"tasks.":[79],"A":[80],"major":[81],"obstacle":[82],"designing":[84,131],"such":[85],"that":[95,111,184,207],"this":[96,129,203],"statistic":[98],"not":[100],"robust":[101],"to":[102,116],"adding":[103],"one":[104],"node":[105],"arbitrary":[107],"connections":[108],"(a":[109],"change":[110],"node-differential":[112],"designed":[115],"hide):":[117],"every":[118],"neighbor":[122],"overcome":[128],"by":[130],"family":[133],"efficiently":[135],"computable":[136],"Lipschitz":[137,209,245],"extensions":[138,210,246],"or,":[145],"equivalently,":[146],"size":[148],"forest.":[152],"The":[153],"construction":[154],"extensions,":[157],"which":[158],"at":[160,198],"core":[162],"algorithm,":[165],"based":[167],"on":[168,234],"polytope":[171],"prove":[175],"several":[176],"combinatorial":[177],"facts":[178],"about":[179],"forests,":[181],"particular,":[183],"no":[188],"induced":[189],"\\(\\Delta\\)":[190,200],"-stars":[191],"most":[199],".":[201],"With":[202],"fact,":[204],"we":[205],"show":[206],"equal":[217],"true":[219],"value":[220],"function":[223],"largest":[226],"monotone":[228,236],"families":[229],"graphs.":[231],"More":[232],"generally,":[233],"all":[235],"sets":[237],"graphs,":[239],"\\(\\ell_{\\infty}\\)":[241],"nearly":[248],"optimal.":[249]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}