{"id":"https://openalex.org/W2563982062","doi":"https://doi.org/10.1017/s0963548320000048","title":"Estimating parameters associated with monotone properties","display_name":"Estimating parameters associated with monotone properties","publication_year":2020,"publication_date":"2020-03-24","ids":{"openalex":"https://openalex.org/W2563982062","doi":"https://doi.org/10.1017/s0963548320000048","mag":"2563982062"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548320000048","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548320000048","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1707.08225","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091774272","display_name":"Carlos Hoppen","orcid":"https://orcid.org/0000-0002-7581-1583"},"institutions":[{"id":"https://openalex.org/I130442723","display_name":"Universidade Federal do Rio Grande do Sul","ror":"https://ror.org/041yk2d64","country_code":"BR","type":"education","lineage":["https://openalex.org/I130442723"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Carlos Hoppen","raw_affiliation_strings":["Instituto de Matem\u00e1tica, UFRGS, Avenida Bento Gon\u00e7alves, 9500, 91501-970Porto Alegre, RS, Brazil"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica, UFRGS, Avenida Bento Gon\u00e7alves, 9500, 91501-970Porto Alegre, RS, Brazil","institution_ids":["https://openalex.org/I130442723"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025621521","display_name":"Yoshiharu Kohayakawa","orcid":"https://orcid.org/0000-0001-7841-157X"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Yoshiharu Kohayakawa","raw_affiliation_strings":["Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, Rua do Mat\u00e3o 1010, 05508-090S\u00e3o Paulo, Brazil"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, Rua do Mat\u00e3o 1010, 05508-090S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103264872","display_name":"Richard Lang","orcid":"https://orcid.org/0000-0002-7661-934X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Richard Lang","raw_affiliation_strings":["Combinatorics and Optimization, University of Waterloo, N2L 3G1WaterlooON, Canada"],"affiliations":[{"raw_affiliation_string":"Combinatorics and Optimization, University of Waterloo, N2L 3G1WaterlooON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111723650","display_name":"Hanno Lefmann","orcid":null},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hanno Lefmann","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Informatik, Technische Universit\u00e4t Chemnitz, Stra\u00dfe der Nationen 62, 09111Chemnitz, Germany"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Informatik, Technische Universit\u00e4t Chemnitz, Stra\u00dfe der Nationen 62, 09111Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064249342","display_name":"Henrique Stagni","orcid":"https://orcid.org/0000-0002-3649-0481"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Henrique Stagni","raw_affiliation_strings":["Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, Rua do Mat\u00e3o 1010, 05508-090S\u00e3o Paulo, Brazil"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, Rua do Mat\u00e3o 1010, 05508-090S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5064249342"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":null,"apc_paid":null,"fwci":0.5776,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71499633,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"29","issue":"4","first_page":"616","last_page":"632"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9995999932289124,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"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/mathematics","display_name":"Mathematics","score":0.7421498894691467},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7369272708892822},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6796294450759888},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5890781879425049},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5299668908119202},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5105501413345337},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4907577931880951},{"id":"https://openalex.org/keywords/graph-property","display_name":"Graph property","score":0.4842478930950165},{"id":"https://openalex.org/keywords/substructure","display_name":"Substructure","score":0.4388662278652191},{"id":"https://openalex.org/keywords/property-testing","display_name":"Property testing","score":0.41374337673187256},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2843613028526306},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.13628801703453064}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7421498894691467},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7369272708892822},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6796294450759888},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5890781879425049},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5299668908119202},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5105501413345337},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4907577931880951},{"id":"https://openalex.org/C64339825","wikidata":"https://www.wikidata.org/wiki/Q722659","display_name":"Graph property","level":5,"score":0.4842478930950165},{"id":"https://openalex.org/C99679407","wikidata":"https://www.wikidata.org/wiki/Q56761637","display_name":"Substructure","level":2,"score":0.4388662278652191},{"id":"https://openalex.org/C123842658","wikidata":"https://www.wikidata.org/wiki/Q2918980","display_name":"Property testing","level":2,"score":0.41374337673187256},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2843613028526306},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.13628801703453064},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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":3,"locations":[{"id":"doi:10.1017/s0963548320000048","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548320000048","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1707.08225","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.08225","pdf_url":"https://arxiv.org/pdf/1707.08225","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":"pmh:003008821","is_oa":true,"landing_page_url":"https://doi.org/10.1017/S0963548320000048","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1707.08225","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.08225","pdf_url":"https://arxiv.org/pdf/1707.08225","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":35,"referenced_works":["https://openalex.org/W1531592115","https://openalex.org/W1691611448","https://openalex.org/W1970630090","https://openalex.org/W1985538939","https://openalex.org/W2004694806","https://openalex.org/W2007704435","https://openalex.org/W2016987856","https://openalex.org/W2018472031","https://openalex.org/W2019367452","https://openalex.org/W2025818193","https://openalex.org/W2040218501","https://openalex.org/W2058870462","https://openalex.org/W2068571612","https://openalex.org/W2072858942","https://openalex.org/W2073966617","https://openalex.org/W2076599430","https://openalex.org/W2079092774","https://openalex.org/W2083580384","https://openalex.org/W2093276208","https://openalex.org/W2111224696","https://openalex.org/W2111754130","https://openalex.org/W2115730400","https://openalex.org/W2116537669","https://openalex.org/W2123435414","https://openalex.org/W2139374679","https://openalex.org/W2161620758","https://openalex.org/W2164542539","https://openalex.org/W2405333517","https://openalex.org/W2558289754","https://openalex.org/W2963005178","https://openalex.org/W2963582026","https://openalex.org/W2963858807","https://openalex.org/W3008660429","https://openalex.org/W3100333345","https://openalex.org/W4255563008"],"related_works":["https://openalex.org/W4247687185","https://openalex.org/W2569682947","https://openalex.org/W3012217727","https://openalex.org/W2963396042","https://openalex.org/W2951610245","https://openalex.org/W1968752573","https://openalex.org/W3037410748","https://openalex.org/W2171582965","https://openalex.org/W3091695494","https://openalex.org/W621782861"],"abstract_inverted_index":{"Abstract":[0],"There":[1],"has":[2],"been":[3],"substantial":[4],"interest":[5],"in":[6,49,189],"estimating":[7,129],"the":[8,21,37,40,61,78,92,125,143,161,167,194,199,226],"value":[9,93],"of":[10,15,23,36,39,72,80,84,94,105,128,145,148,170,187,211,228,233],"a":[11,16,28,81,85,130,175,184,191,206],"graph":[12,86,119,132,139,172,196,209],"parameter,":[13],"i.e.":[14],"real-valued":[17],"function":[18],"defined":[19],"on":[20,160],"set":[22,169],"finite":[24],"graphs,":[25],"by":[26,198],"querying":[27],"randomly":[29],"sampled":[30],"substructure":[31],"whose":[32],"size":[33,38,79],"is":[34,77,201],"independent":[35,234],"input.":[41],"Graph":[42],"parameters":[43],"that":[44,91,150,166,173,193],"may":[45,99,179,231],"be":[46,55,100,180,222,232],"successfully":[47],"estimated":[48,101],"this":[50,113,217],"way":[51,192],"are":[52,219],"said":[53,220],"to":[54,89,221],"testable":[56],"or":[57],"estimable":[58,74],",":[59,141,224],"and":[60,225],"sample":[62,83,126,162],"complexity":[63,127],"q":[64,67],"z":[65,68,76,95,134],"=":[66],"(":[69,96],"\u03b5":[70,106],")":[71,98],"an":[73,103,137],"parameter":[75,133],"random":[82],"G":[87,97,140,149],"required":[88],"ensure":[90],"within":[102],"error":[104],"with":[107],"probability":[108],"at":[109],"least":[110],"2/3.":[111],"In":[112],"paper,":[114],"for":[115,136,215],"any":[116,171],"fixed":[117],"monotone":[118,176],"property":[120,177],"$\\mathcal{P}=":[121],"\\text{Forb}\\!(\\mathcal{F}),$":[122],"we":[123,164],"study":[124,227],"bounded":[131],"that,":[135],"input":[138],"counts":[142],"number":[144,186],"spanning":[146],"subgraphs":[147],"satisfy":[151],"$\\mathcal{P}$":[152,178,212],".":[153,213],"To":[154],"improve":[155],"upon":[156],"previous":[157],"upper":[158],"bounds":[159],"complexity,":[163],"show":[165],"vertex":[168],"satisfies":[174],"partitioned":[181],"equitably":[182],"into":[183],"constant":[185],"classes":[188],"such":[190],"cluster":[195],"induced":[197],"partition":[200],"not":[202],"far":[203],"from":[204],"satisfying":[205],"natural":[207],"weighted":[208],"generalization":[210],"Properties":[214],"which":[216],"holds":[218],"recoverable":[223,229],"properties":[230],"interest.":[235]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
