{"id":"https://openalex.org/W1838629830","doi":"https://doi.org/10.1145/2797140","title":"Linear Kernels and Single-Exponential Algorithms Via Protrusion Decompositions","display_name":"Linear Kernels and Single-Exponential Algorithms Via Protrusion Decompositions","publication_year":2015,"publication_date":"2015-12-08","ids":{"openalex":"https://openalex.org/W1838629830","doi":"https://doi.org/10.1145/2797140","mag":"1838629830"},"language":"en","primary_location":{"id":"doi:10.1145/2797140","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2797140","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100354947","display_name":"Eun Jung Kim","orcid":"https://orcid.org/0000-0002-6824-0516"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210112634","display_name":"Laboratoire d\u2019Arch\u00e9ologie Mol\u00e9culaire et Structurale","ror":"https://ror.org/02ctqqq48","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210112634","https://openalex.org/I4210128300"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Eun Jung Kim","raw_affiliation_strings":["CNRS LAMSADE Paris"],"affiliations":[{"raw_affiliation_string":"CNRS LAMSADE Paris","institution_ids":["https://openalex.org/I4210112634","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076092166","display_name":"Alexander Langer","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Langer","raw_affiliation_strings":["RWTH Aachen University, Aachen, Germany","RWTH-Aachen University, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"RWTH-Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028652077","display_name":"Christophe Paul","orcid":"https://orcid.org/0000-0001-6519-975X"},"institutions":[{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4412460525"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Paul","raw_affiliation_strings":["CNRS LIRMM Montpellier","CNRS/LIRMM, Montpellier"],"affiliations":[{"raw_affiliation_string":"CNRS LIRMM Montpellier","institution_ids":["https://openalex.org/I4210101743","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS/LIRMM, Montpellier","institution_ids":["https://openalex.org/I4210101743","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049595624","display_name":"Felix Reidl","orcid":"https://orcid.org/0000-0002-2354-3003"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Felix Reidl","raw_affiliation_strings":["RWTH Aachen University, Aachen, Germany","RWTH-Aachen University, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"RWTH-Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062653045","display_name":"Peter Rossmanith","orcid":"https://orcid.org/0000-0003-0177-8028"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Rossmanith","raw_affiliation_strings":["RWTH Aachen University, Aachen, Germany","RWTH-Aachen University, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"RWTH-Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025941213","display_name":"Ignasi Sau","orcid":"https://orcid.org/0000-0002-8981-9287"},"institutions":[{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4412460525"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ignasi Sau","raw_affiliation_strings":["CNRS LIRMM Montpellier","CNRS/LIRMM, Montpellier"],"affiliations":[{"raw_affiliation_string":"CNRS LIRMM Montpellier","institution_ids":["https://openalex.org/I4210101743","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS/LIRMM, Montpellier","institution_ids":["https://openalex.org/I4210101743","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079304468","display_name":"Somnath Sikdar","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Somnath Sikdar","raw_affiliation_strings":["RWTH Aachen University, Aachen, Germany","RWTH-Aachen University, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"RWTH-Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5100354947"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210112634"],"apc_list":null,"apc_paid":null,"fwci":20.6804,"has_fulltext":false,"cited_by_count":98,"citation_normalized_percentile":{"value":0.99607882,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"12","issue":"2","first_page":"1","last_page":"41"},"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":0.9976999759674072,"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":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.8864631652832031},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7558976411819458},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7406487464904785},{"id":"https://openalex.org/keywords/exponential-time-hypothesis","display_name":"Exponential time hypothesis","score":0.6848124265670776},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.5602629780769348},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5273562073707581},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.5027244091033936},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.4929218292236328},{"id":"https://openalex.org/keywords/partial-k-tree","display_name":"Partial k-tree","score":0.4792930483818054},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.47654467821121216},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.43820640444755554},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4093584418296814},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.34517425298690796},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3233177065849304},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.16086885333061218}],"concepts":[{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.8864631652832031},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7558976411819458},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7406487464904785},{"id":"https://openalex.org/C71017364","wikidata":"https://www.wikidata.org/wiki/Q5421532","display_name":"Exponential time hypothesis","level":3,"score":0.6848124265670776},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.5602629780769348},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5273562073707581},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.5027244091033936},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.4929218292236328},{"id":"https://openalex.org/C128764233","wikidata":"https://www.wikidata.org/wiki/Q7140374","display_name":"Partial k-tree","level":5,"score":0.4792930483818054},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.47654467821121216},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.43820640444755554},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4093584418296814},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.34517425298690796},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3233177065849304},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.16086885333061218},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2797140","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2797140","pdf_url":null,"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"},{"id":"pmh:oai:HAL:lirmm-01288472v1","is_oa":false,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-01288472","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Algorithms, 2016, 12 (2), pp.No. 21. &#x27E8;10.1145/2797140&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":97,"referenced_works":["https://openalex.org/W26854244","https://openalex.org/W36639738","https://openalex.org/W143512583","https://openalex.org/W286506336","https://openalex.org/W1491784324","https://openalex.org/W1495415187","https://openalex.org/W1517036688","https://openalex.org/W1539375795","https://openalex.org/W1544829330","https://openalex.org/W1570425181","https://openalex.org/W1578674049","https://openalex.org/W1590366935","https://openalex.org/W1605936044","https://openalex.org/W1621031363","https://openalex.org/W1623604111","https://openalex.org/W1787689584","https://openalex.org/W1818723348","https://openalex.org/W1852495590","https://openalex.org/W1924811958","https://openalex.org/W1947666077","https://openalex.org/W1964064059","https://openalex.org/W1965737603","https://openalex.org/W1969308201","https://openalex.org/W1971799322","https://openalex.org/W1973347908","https://openalex.org/W1978747958","https://openalex.org/W1979312598","https://openalex.org/W1983860528","https://openalex.org/W1987092466","https://openalex.org/W1988133548","https://openalex.org/W1989055377","https://openalex.org/W1989902458","https://openalex.org/W1994264784","https://openalex.org/W1994950230","https://openalex.org/W1996472240","https://openalex.org/W2003744153","https://openalex.org/W2004181701","https://openalex.org/W2005079828","https://openalex.org/W2018876684","https://openalex.org/W2028357390","https://openalex.org/W2029448190","https://openalex.org/W2043344835","https://openalex.org/W2047871605","https://openalex.org/W2051856222","https://openalex.org/W2057826895","https://openalex.org/W2059273723","https://openalex.org/W2059372025","https://openalex.org/W2059738021","https://openalex.org/W2061881283","https://openalex.org/W2066585576","https://openalex.org/W2067016370","https://openalex.org/W2073638763","https://openalex.org/W2080609813","https://openalex.org/W2084389562","https://openalex.org/W2087638517","https://openalex.org/W2088432971","https://openalex.org/W2093762675","https://openalex.org/W2095912437","https://openalex.org/W2099035480","https://openalex.org/W2100346402","https://openalex.org/W2109542562","https://openalex.org/W2114471747","https://openalex.org/W2119044694","https://openalex.org/W2124442576","https://openalex.org/W2134469776","https://openalex.org/W2138856440","https://openalex.org/W2143406303","https://openalex.org/W2144050783","https://openalex.org/W2145238172","https://openalex.org/W2151438396","https://openalex.org/W2157295389","https://openalex.org/W2163101585","https://openalex.org/W2165454009","https://openalex.org/W2168568667","https://openalex.org/W2177196747","https://openalex.org/W2217678137","https://openalex.org/W2295651994","https://openalex.org/W2396707135","https://openalex.org/W2398454830","https://openalex.org/W2398655357","https://openalex.org/W2531503199","https://openalex.org/W2570024161","https://openalex.org/W2628278606","https://openalex.org/W2798588639","https://openalex.org/W2913688336","https://openalex.org/W2949444937","https://openalex.org/W2949708316","https://openalex.org/W2952542845","https://openalex.org/W2952626310","https://openalex.org/W2963253390","https://openalex.org/W3002703887","https://openalex.org/W3099042911","https://openalex.org/W3100974949","https://openalex.org/W4235239597","https://openalex.org/W4292230561","https://openalex.org/W6638118397","https://openalex.org/W6712350560"],"related_works":["https://openalex.org/W2012687409","https://openalex.org/W2029854525","https://openalex.org/W2111290740","https://openalex.org/W1976463682","https://openalex.org/W143512583","https://openalex.org/W1585579706","https://openalex.org/W4297435153","https://openalex.org/W1511821218","https://openalex.org/W2567822775","https://openalex.org/W1649387244"],"abstract_inverted_index":{"We":[0],"present":[1,199],"a":[2,7,15,24,38,43,72,83,92,132,151,166],"linear-time":[3],"algorithm":[4,203,215],"to":[5,204,234],"compute":[6],"decomposition":[8,45],"scheme":[9],"for":[10,102,188,244],"graphs":[11,121,137],"G":[12,21,32,149,164,172,182],"that":[13,28,61,70,78,175],"have":[14,82],"set":[16,167],"X":[17,34,168,177,184],"\u2286":[18,169],"V":[19,170],"(":[20,88,171,221],"),":[22],"called":[23,42],"treewidth-modulator":[25,84],",":[26,46,155,227],"such":[27,77,174],"the":[29,48,52,96,115,200,248],"treewidth":[30],"of":[31,85,98,117,122,136,247],"\u2212":[33,183],"is":[35,47,60,185,229],"bounded":[36,123],"by":[37],"constant.":[39],"Our":[40,57],"decomposition,":[41],"protrusion":[44],"cornerstone":[49],"in":[50,217],"obtaining":[51],"following":[53],"two":[54],"main":[55],"results.":[56],"first":[58,201],"result":[59,109],"any":[62,103],"parameterized":[63],"graph":[64,105,148],"problem":[65],"(with":[66],"parameter":[67],"k":[68,89,154,180,222,235],")":[69,90,173,223],"has":[71,165],"finite":[73,134],"integer":[74,153],"index":[75],"and":[76,125,150,181],"Y":[79],"es":[80],"-instances":[81],"size":[86],"O":[87,220],"admits":[91],"linear":[93,118],"kernel":[94],"on":[95,114,120],"class":[97],"H":[99,106,126,186,190],"-topological-minor-free":[100],"graphs,":[101],"fixed":[104,133],".":[107,193,212,236,251],"This":[108],"partially":[110],"extends":[111],"previous":[112],"meta-theorems":[113],"existence":[116],"kernels":[119],"genus":[124],"-minor-free":[127,187],"graphs.":[128],"Let":[129],"F":[130,159,192,209,250],"be":[131],"family":[135,249],"containing":[138],"at":[139],"least":[140],"one":[141],"planar":[142],"graph.":[143],"Given":[144],"an":[145],"n":[146,225],"-vertex":[147],"non-negative":[152],"P":[156,206],"lanar":[157,207],"-":[158,208],"-D":[160,210],"eletion":[161,211],"asks":[162],"whether":[163],"|":[176,178],"\u2a7d":[179],"every":[189],"\u03f5":[191],"As":[194],"our":[195,214],"second":[196],"application,":[197],"we":[198],"single-exponential":[202,239],"solve":[205],"Namely,":[213],"runs":[216],"time":[218],"2":[219,226],"\u00b7":[224],"which":[228],"asymptotically":[230],"optimal":[231],"with":[232],"respect":[233],"So":[237],"far,":[238],"algorithms":[240],"were":[241],"only":[242],"known":[243],"special":[245],"cases":[246]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":40},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
