{"id":"https://openalex.org/W2032903176","doi":"https://doi.org/10.1002/(sici)1098-2418(199608/09)9:1/2<1::aid-rsa1>3.0.co;2-0","title":"The average complexity of a coin-weighing problem","display_name":"The average complexity of a coin-weighing problem","publication_year":1996,"publication_date":"1996-08-01","ids":{"openalex":"https://openalex.org/W2032903176","doi":"https://doi.org/10.1002/(sici)1098-2418(199608/09)9:1/2<1::aid-rsa1>3.0.co;2-0","mag":"2032903176"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1098-2418(199608/09)9:1/2<1::aid-rsa1>3.0.co;2-0","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1098-2418(199608/09)9:1/2<1::aid-rsa1>3.0.co;2-0","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures and Algorithms","raw_type":"journal-article"},"type":"article","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/A5036013554","display_name":"Laurent Alonso","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"L. Alonso","raw_affiliation_strings":["CRIN, URA CNRS 262, BP 239, 54506 Vand\u0153uvre-le\u0300s-Nancy, France","CRIN, URA CNRS 262, BP 239, 54506 Vand\u0153uvre\u2010l\u00e8s\u2010Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRIN, URA CNRS 262, BP 239, 54506 Vand\u0153uvre-le\u0300s-Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792"]},{"raw_affiliation_string":"CRIN, URA CNRS 262, BP 239, 54506 Vand\u0153uvre\u2010l\u00e8s\u2010Nancy, France","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065178104","display_name":"Philippe Chassaing","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Chassaing","raw_affiliation_strings":["Institut Elie Cartan, URA CNRS 750, BP 239, 54506 Vand\u0153uvre-le\u0300s-Nancy, France","Institut Elie Cartan, URA CNRS 750, BP 239, 54506 Vand\u0153uvre\u2010l\u00e8s\u2010Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Elie Cartan, URA CNRS 750, BP 239, 54506 Vand\u0153uvre-le\u0300s-Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I3017839442","https://openalex.org/I90183372"]},{"raw_affiliation_string":"Institut Elie Cartan, URA CNRS 750, BP 239, 54506 Vand\u0153uvre\u2010l\u00e8s\u2010Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I3017839442"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010539733","display_name":"Ren\u00e9 Schott","orcid":"https://orcid.org/0000-0003-2368-5615"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"R. Schott","raw_affiliation_strings":["CRIN, URA CNRS 262, BP 239, 54506 Vand\u0153uvre-le\u0300s-Nancy, France","CRIN, URA CNRS 262, BP 239, 54506 Vand\u0153uvre\u2010l\u00e8s\u2010Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRIN, URA CNRS 262, BP 239, 54506 Vand\u0153uvre-le\u0300s-Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792"]},{"raw_affiliation_string":"CRIN, URA CNRS 262, BP 239, 54506 Vand\u0153uvre\u2010l\u00e8s\u2010Nancy, France","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5036013554"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":0.4764,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65251696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"9","issue":"1-2","first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"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":0.9926000237464905,"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/T11567","display_name":"semigroups and automata theory","score":0.9907000064849854,"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/simple","display_name":"Simple (philosophy)","score":0.7310104370117188},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6968975067138672},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6085881590843201},{"id":"https://openalex.org/keywords/balance","display_name":"Balance (ability)","score":0.5884067416191101},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47605177760124207},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34591442346572876},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33981436491012573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2908327579498291}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7310104370117188},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6968975067138672},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6085881590843201},{"id":"https://openalex.org/C168031717","wikidata":"https://www.wikidata.org/wiki/Q1530280","display_name":"Balance (ability)","level":2,"score":0.5884067416191101},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47605177760124207},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34591442346572876},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33981436491012573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2908327579498291},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C99508421","wikidata":"https://www.wikidata.org/wiki/Q2678675","display_name":"Physical medicine and rehabilitation","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/(sici)1098-2418(199608/09)9:1/2<1::aid-rsa1>3.0.co;2-0","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1098-2418(199608/09)9:1/2<1::aid-rsa1>3.0.co;2-0","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures and Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.38.4074","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.4074","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iecn.u-nancy.fr/~chassain//coin.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1971578319","https://openalex.org/W2008786622","https://openalex.org/W2021104342","https://openalex.org/W2072153301","https://openalex.org/W2905110430"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W2165950148","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W4300101996","https://openalex.org/W2142393343","https://openalex.org/W3101625811","https://openalex.org/W2338854850"],"abstract_inverted_index":{"Given":[0],"a":[1,40],"set":[2,24],"of":[3,7,25,34,48,51],"n":[4,35],"coins,":[5,27],"some":[6],"them":[8],"weighing":[9,13],"H,":[10,17],"the":[11,23,46,49,67],"others":[12],"h,":[14],"h":[15],"<":[16],"we":[18],"prove":[19],"that":[20],"to":[21],"determine":[22],"heavy":[26],"an":[28,32],"optimal":[29],"algorithm":[30,59],"requires":[31],"average":[33],"+":[36],"O(1)":[37],"comparisons,":[38],"using":[39],"beam":[41],"balance,":[42],"where":[43],"\u03c1":[44],"denotes":[45],"ratio":[47],"probabilities":[50],"being":[52],"light":[53],"and":[54],"heavy.":[55],"A":[56],"simple":[57],"quasi-optimal":[58],"is":[60],"described.":[61],"Similar":[62],"results":[63],"are":[64],"derived":[65],"for":[66],"majority":[68],"problem.":[69],"\u00a9":[70],"1996":[71],"John":[72],"Wiley":[73],"&":[74],"Sons,":[75],"Inc.":[76]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
