{"id":"https://openalex.org/W2338323869","doi":"https://doi.org/10.1137/19m1262504","title":"Subexponential Parameterized Algorithms for Planar and Apex-Minor-Free Graphs via Low Treewidth Pattern Covering","display_name":"Subexponential Parameterized Algorithms for Planar and Apex-Minor-Free Graphs via Low Treewidth Pattern Covering","publication_year":2022,"publication_date":"2022-12-16","ids":{"openalex":"https://openalex.org/W2338323869","doi":"https://doi.org/10.1137/19m1262504","mag":"2338323869"},"language":"en","primary_location":{"id":"doi:10.1137/19m1262504","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1262504","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://eprints.sztaki.hu/9045/1/Fomin_515_3174174_ny.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075328697","display_name":"Fedor V. Fomin","orcid":"https://orcid.org/0000-0003-1955-4612"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Fedor V. Fomin","raw_affiliation_strings":["Department of Informatics, University of Bergen, N-5020 Bergen, Norway"],"raw_orcid":"https://orcid.org/0000-0003-1955-4612","affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, N-5020 Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038531405","display_name":"Daniel Lokshtanov","orcid":"https://orcid.org/0000-0002-3166-9212"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Lokshtanov","raw_affiliation_strings":["Department of Computer Science, University of California, Santa Barbara, CA 93106-5110 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California, Santa Barbara, CA 93106-5110 USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012849997","display_name":"D\u00e1niel Marx","orcid":"https://orcid.org/0000-0002-5686-8314"},"institutions":[{"id":"https://openalex.org/I4210128801","display_name":"Helmholtz Center for Information Security","ror":"https://ror.org/02njgxr09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I4210128801"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"D\u00e1niel Marx","raw_affiliation_strings":["CISPA Helmholtz Center for Information Security, Saarland Informatics Campus, 66123 Saarbr\u00fccken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CISPA Helmholtz Center for Information Security, Saarland Informatics Campus, 66123 Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210128801"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059330513","display_name":"Marcin Pilipczuk","orcid":"https://orcid.org/0000-0001-5680-7397"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marcin Pilipczuk","raw_affiliation_strings":["Institute of Informatics, University of Warsaw, 02-097 Warsaw, Poland"],"raw_orcid":"https://orcid.org/0000-0001-5680-7397","affiliations":[{"raw_affiliation_string":"Institute of Informatics, University of Warsaw, 02-097 Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000479623","display_name":"Micha\u0142 Pilipczuk","orcid":"https://orcid.org/0000-0001-7891-1988"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 Pilipczuk","raw_affiliation_strings":["Institute of Informatics, University of Warsaw, 02-097 Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Informatics, University of Warsaw, 02-097 Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015806060","display_name":"Saket Saurabh","orcid":"https://orcid.org/0000-0001-7847-6402"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]},{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN","NO"],"is_corresponding":false,"raw_author_name":"Saket Saurabh","raw_affiliation_strings":["Institute of Mathematical Sciences, Chennai 600 113, India, and Department of Informatics, University of Bergen, N-5020 Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Sciences, Chennai 600 113, India, and Department of Informatics, University of Bergen, N-5020 Bergen, Norway","institution_ids":["https://openalex.org/I59611059","https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1495,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.79273096,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"51","issue":"6","first_page":"1866","last_page":"1930"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9986000061035156,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9904999732971191,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.7921872138977051},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7544318437576294},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6602288484573364},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.5284079313278198},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5275207161903381},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5157063603401184},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.4989759922027588},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4740592837333679},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.4737209379673004},{"id":"https://openalex.org/keywords/vertex-cover","display_name":"Vertex cover","score":0.46391430497169495},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.4397132992744446},{"id":"https://openalex.org/keywords/induced-path","display_name":"Induced path","score":0.4158720076084137},{"id":"https://openalex.org/keywords/longest-path-problem","display_name":"Longest path problem","score":0.3714812695980072},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.32249951362609863},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2524241805076599},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12615618109703064}],"concepts":[{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.7921872138977051},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7544318437576294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6602288484573364},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.5284079313278198},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5275207161903381},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5157063603401184},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.4989759922027588},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4740592837333679},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.4737209379673004},{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.46391430497169495},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.4397132992744446},{"id":"https://openalex.org/C58228413","wikidata":"https://www.wikidata.org/wiki/Q15704639","display_name":"Induced path","level":5,"score":0.4158720076084137},{"id":"https://openalex.org/C1465435","wikidata":"https://www.wikidata.org/wiki/Q2916352","display_name":"Longest path problem","level":4,"score":0.3714812695980072},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.32249951362609863},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2524241805076599},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12615618109703064}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1262504","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1262504","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:eprints.sztaki.hu:9045","is_oa":true,"landing_page_url":"http://eprints.sztaki.hu/9045/","pdf_url":"https://eprints.sztaki.hu/9045/1/Fomin_515_3174174_ny.pdf","source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},{"id":"doi:10.60882/cispa.32779998","is_oa":true,"landing_page_url":"https://doi.org/10.60882/cispa.32779998","pdf_url":null,"source":{"id":"https://openalex.org/S7407050916","display_name":"CISPA Helmholtz Center","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"JournalArticle"},{"id":"doi:10.60882/cispa.32779998.v1","is_oa":true,"landing_page_url":"https://doi.org/10.60882/cispa.32779998.v1","pdf_url":null,"source":{"id":"https://openalex.org/S7407050916","display_name":"CISPA Helmholtz Center","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"pmh:oai:eprints.sztaki.hu:9045","is_oa":true,"landing_page_url":"http://eprints.sztaki.hu/9045/","pdf_url":"https://eprints.sztaki.hu/9045/1/Fomin_515_3174174_ny.pdf","source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G216536116","display_name":null,"funder_award_id":"UMO-2013/09/B/ST6/03136","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"},{"id":"https://openalex.org/G3211800559","display_name":null,"funder_award_id":"306992","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G5539758277","display_name":null,"funder_award_id":"280152","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G72107327","display_name":null,"funder_award_id":"267959","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G7324173974","display_name":null,"funder_award_id":"NK105645","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G7723633313","display_name":null,"funder_award_id":"UMO-2013/11/D/ST6/03073","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"},{"id":"https://openalex.org/G7971188028","display_name":null,"funder_award_id":"FP/2007-2013","funder_id":"https://openalex.org/F4320333065","funder_display_name":"Seventh Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320321042","display_name":"Fundacja na rzecz Nauki Polskiej","ror":"https://ror.org/048zd9m77"},{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"},{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320333065","display_name":"Seventh Framework Programme","ror":null},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2338323869.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W28674990","https://openalex.org/W1512232443","https://openalex.org/W1533217239","https://openalex.org/W1966397930","https://openalex.org/W1976463682","https://openalex.org/W1982180670","https://openalex.org/W1983156760","https://openalex.org/W1985572324","https://openalex.org/W1987776185","https://openalex.org/W1998544343","https://openalex.org/W2002722727","https://openalex.org/W2003272551","https://openalex.org/W2005079828","https://openalex.org/W2007069176","https://openalex.org/W2013522700","https://openalex.org/W2015321560","https://openalex.org/W2016465035","https://openalex.org/W2067431706","https://openalex.org/W2076043677","https://openalex.org/W2076164610","https://openalex.org/W2092904196","https://openalex.org/W2127485201","https://openalex.org/W2129939288","https://openalex.org/W2154257711","https://openalex.org/W2158584754","https://openalex.org/W2165930352","https://openalex.org/W2180988813","https://openalex.org/W2296148711","https://openalex.org/W2350783824","https://openalex.org/W2890355536","https://openalex.org/W2913492813","https://openalex.org/W2914414140","https://openalex.org/W2963838695","https://openalex.org/W3139078859","https://openalex.org/W4226434845","https://openalex.org/W4238913085"],"related_works":["https://openalex.org/W2029854525","https://openalex.org/W1976784955","https://openalex.org/W101378340","https://openalex.org/W1588220234","https://openalex.org/W1667353902","https://openalex.org/W2027513055","https://openalex.org/W1486147625","https://openalex.org/W1585579706","https://openalex.org/W4252949575","https://openalex.org/W2031276298"],"abstract_inverted_index":{"We":[0],"prove":[1],"the":[2,31,58,63,76,184],"following":[3,32],"theorem.":[4],"Given":[5],"a":[6,23,37,96,127,132,136,203,208],"planar":[7,108,176],"graph":[8,206],"G":[9,29,40,52],"and":[10,44,153],"an":[11],"integer":[12],"k,":[13],"it":[14,162],"is":[15,69,75],"possible":[16],"in":[17,135,171,194,210,215],"polynomial":[18],"time":[19,113,174],"to":[20,121,159,183],"randomly":[21],"sample":[22],"subset":[24],"A":[25,35,61],"of":[26,28,39,41,51,67,78,80,90,141,187,199],"vertices":[27,79],"with":[30,83,111,131],"properties:":[33],"(i)":[34],"induces":[36],"subgraph":[38,49],"treewidth":[42],"O(k\u2212\u2212\u221alogk),":[43],"(ii)":[45],"for":[46,88,99,105,126],"every":[47],"connected":[48,129],"H":[50,68],"on":[53,107,175,196,212],"at":[54,70],"most":[55],"k":[56],"vertices,":[57],"probability":[59],"that":[60,201],"covers":[62],"whole":[64],"vertex":[65],"set":[66],"least":[71],"(2O(k\u221alog2k)\u22c5nO(1))\u22121,":[72],"where":[73],"n":[74],"number":[77],"G.":[81],"Together":[82],"standard":[84],"dynamic":[85],"programming":[86],"techniques":[87],"graphs":[89,200,213],"bounded":[91],"treewidth,":[92],"this":[93,160],"result":[94],"gives":[95],"versatile":[97],"technique":[98,117,186],"obtaining":[100],"(randomized)":[101],"subexponential":[102,172],"parameterized":[103,173],"algorithms":[104],"problems":[106,122,143,167],"graphs,":[109,177],"usually":[110],"running":[112],"bound":[114],"2O(k\u221alog2k)nO(1).":[115],"The":[116],"can":[118,168],"be":[119,169],"applied":[120],"expressible":[123],"as":[124,207],"searching":[125],"small,":[128],"pattern":[130],"prescribed":[133],"property":[134],"large":[137],"host":[138],"graph,":[139],"examples":[140],"such":[142],"include":[144],"Directed":[145],"k-Path,":[146,148],"Weighted":[147],"Vertex":[149],"Cover":[150],"Local":[151],"Search,":[152],"Subgraph":[154],"Isomorphism,":[155],"among":[156],"others.":[157],"Up":[158],"point,":[161],"was":[163],"open":[164],"whether":[165],"these":[166],"solved":[170],"because":[178],"they":[179],"are":[180],"not":[181],"amenable":[182],"classic":[185],"bidimensionality.":[188],"Furthermore,":[189],"all":[190],"our":[191],"results":[192],"hold":[193],"fact":[195],"any":[197,216],"class":[198],"exclude":[202],"fixed":[204,217],"apex":[205],"minor,":[209],"particular":[211],"embeddable":[214],"surface.":[218]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
