{"id":"https://openalex.org/W2271689317","doi":"https://doi.org/10.1109/isit.2016.7541486","title":"On a hypergraph approach to multistage group testing problems","display_name":"On a hypergraph approach to multistage group testing problems","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2271689317","doi":"https://doi.org/10.1109/isit.2016.7541486","mag":"2271689317"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541486","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541486","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1601.06704","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"A. G. D'yachkov","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. G. D'yachkov","raw_affiliation_strings":["Lomonosov Moscow State University, Russia"],"affiliations":[{"raw_affiliation_string":"Lomonosov Moscow State University, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"middle","author":{"id":null,"display_name":"I.V. Vorobyev","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I.V. Vorobyev","raw_affiliation_strings":["Lomonosov Moscow State University, Russia"],"affiliations":[{"raw_affiliation_string":"Lomonosov Moscow State University, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"middle","author":{"id":null,"display_name":"N.A. Polyanskii","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"N.A. Polyanskii","raw_affiliation_strings":["Lomonosov Moscow State University, Russia"],"affiliations":[{"raw_affiliation_string":"Lomonosov Moscow State University, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":null,"display_name":"V.Yu. Shchukin","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V.Yu. Shchukin","raw_affiliation_strings":["Lomonosov Moscow State University, Russia"],"affiliations":[{"raw_affiliation_string":"Lomonosov Moscow State University, Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":null,"apc_paid":null,"fwci":0.223,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.58766076,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1183","last_page":"1191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11754","display_name":"SARS-CoV-2 detection and testing","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T11754","display_name":"SARS-CoV-2 detection and testing","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11725","display_name":"Immunodeficiency and Autoimmune Disorders","score":0.9793000221252441,"subfield":{"id":"https://openalex.org/subfields/2403","display_name":"Immunology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9751999974250793,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.85589998960495},{"id":"https://openalex.org/keywords/group-testing","display_name":"Group testing","score":0.8179000020027161},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5698999762535095},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.550599992275238},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.3578000068664551}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.85589998960495},{"id":"https://openalex.org/C177580056","wikidata":"https://www.wikidata.org/wiki/Q5611272","display_name":"Group testing","level":2,"score":0.8179000020027161},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5943999886512756},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5698999762535095},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.550599992275238},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4117000102996826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4047999978065491},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4032000005245209},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3578000068664551},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3321000039577484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31769999861717224},{"id":"https://openalex.org/C80478641","wikidata":"https://www.wikidata.org/wiki/Q195771","display_name":"Sequential analysis","level":2,"score":0.27630001306533813},{"id":"https://openalex.org/C123842658","wikidata":"https://www.wikidata.org/wiki/Q2918980","display_name":"Property testing","level":2,"score":0.2718000113964081},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25429999828338623}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2016.7541486","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541486","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1601.06704","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.06704","pdf_url":"https://arxiv.org/pdf/1601.06704","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1601.06704","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.06704","pdf_url":"https://arxiv.org/pdf/1601.06704","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1594677425","https://openalex.org/W1995522343","https://openalex.org/W2003071155","https://openalex.org/W2015022443","https://openalex.org/W2048799551","https://openalex.org/W2054082149","https://openalex.org/W2113056523","https://openalex.org/W2478356874","https://openalex.org/W2764053949","https://openalex.org/W6632662896"],"related_works":[],"abstract_inverted_index":{"Group":[0],"testing":[1,44],"is":[2,47],"a":[3,71,77],"well":[4],"known":[5],"search":[6],"problem":[7],"that":[8],"consists":[9,117,151],"in":[10,112],"detecting":[11],"up":[12],"to":[13,48,75,80],"s,":[14],"s":[15,87,127],"\u226a":[16],"t,":[17],"defective":[18,51,82],"elements":[19,52],"of":[20,39,59,102,118,125,152],"the":[21,45,55,85,113,122],"set":[22],"[t]":[23],"=":[24,88],"{1,":[25],".":[26,27,28],",":[29],"t}":[30],"by":[31,53],"carrying":[32],"out":[33],"tests":[34,111,149],"on":[35],"properly":[36],"chosen":[37],"subsets":[38],"[t].":[40],"In":[41,61],"classical":[42],"group":[43,67],"goal":[46],"find":[49],"all":[50],"using":[54],"minimal":[56],"possible":[57],"number":[58],"tests.":[60],"this":[62],"paper":[63],"we":[64,94,134],"consider":[65],"multistage":[66],"testing.":[68],"We":[69],"propose":[70],"general":[72,123],"idea":[73],"how":[74],"use":[76,101],"hypergraph":[78],"approach":[79],"searching":[81],"elements.":[83],"For":[84,121],"case":[86,115,124],"2":[89,103,129],"and":[90,116,130,150],"t":[91,131],"\u2192":[92,132],"\u221e,":[93,133],"design":[95],"an":[96,136],"explicit":[97,137],"construction,":[98,138],"which":[99,139],"makes":[100],"log":[104,144],"<sub":[105,145],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[106,146],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[107,147],"t(1":[108],"+":[109],"o(1))":[110],"worst":[114],"4":[119],"stages.":[120],"fixed":[126],">":[128],"provide":[135],"uses":[140],"(2s":[141],"-":[142,154],"1)":[143],"t(1+o(1))":[148],"2s":[153],"1":[155],"rounds.":[156]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2016-06-24T00:00:00"}
