{"id":"https://openalex.org/W2956577062","doi":"https://doi.org/10.1007/s00453-021-00808-9","title":"Metric Dimension Parameterized By Treewidth","display_name":"Metric Dimension Parameterized By Treewidth","publication_year":2021,"publication_date":"2021-02-23","ids":{"openalex":"https://openalex.org/W2956577062","doi":"https://doi.org/10.1007/s00453-021-00808-9","mag":"2956577062"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-021-00808-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00808-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00808-9.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00808-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083806838","display_name":"\u00c9douard Bonnet","orcid":"https://orcid.org/0000-0002-1653-5822"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"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/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"\u00c9douard Bonnet","raw_affiliation_strings":["CNRS, ENS de Lyon, Univ Lyon, Universit\u00e9 Claude Bernard Lyon 1, LIP UMR5668, Villeurbanne, France","Ecole Normale Sup\u00e8rieure de Lyon"],"affiliations":[{"raw_affiliation_string":"CNRS, ENS de Lyon, Univ Lyon, Universit\u00e9 Claude Bernard Lyon 1, LIP UMR5668, Villeurbanne, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I113428412"]},{"raw_affiliation_string":"Ecole Normale Sup\u00e8rieure de Lyon","institution_ids":["https://openalex.org/I113428412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044269781","display_name":"Nidhi Purohit","orcid":"https://orcid.org/0000-0003-4869-0031"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"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/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]},{"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":["FR","NO"],"is_corresponding":false,"raw_author_name":"Nidhi Purohit","raw_affiliation_strings":["CNRS, ENS de Lyon, Univ Lyon, Universit\u00e9 Claude Bernard Lyon 1, LIP UMR5668, Villeurbanne, France","University of Bergen, Bergen, Norway","Ecole Normale Sup\u00e8rieure de Lyon"],"affiliations":[{"raw_affiliation_string":"CNRS, ENS de Lyon, Univ Lyon, Universit\u00e9 Claude Bernard Lyon 1, LIP UMR5668, Villeurbanne, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I113428412"]},{"raw_affiliation_string":"University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Ecole Normale Sup\u00e8rieure de Lyon","institution_ids":["https://openalex.org/I113428412"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083806838"],"corresponding_institution_ids":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I4210144566"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.7542,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73904222,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"83","issue":"8","first_page":"2606","last_page":"2633"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","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/T12541","display_name":"Graph Labeling and Dimension Problems","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/T10374","display_name":"Advanced Graph Theory Research","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/T10829","display_name":"Interconnection Networks and Systems","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.8712974786758423},{"id":"https://openalex.org/keywords/metric-dimension","display_name":"Metric dimension","score":0.7808151245117188},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7779911756515503},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7248010039329529},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6766319870948792},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.6118549704551697},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.5609536170959473},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5519466400146484},{"id":"https://openalex.org/keywords/exponential-time-hypothesis","display_name":"Exponential time hypothesis","score":0.5219537615776062},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.44347354769706726},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4360584020614624},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.36888158321380615},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.2525734305381775},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12073066830635071}],"concepts":[{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.8712974786758423},{"id":"https://openalex.org/C60933471","wikidata":"https://www.wikidata.org/wiki/Q17152964","display_name":"Metric dimension","level":5,"score":0.7808151245117188},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7779911756515503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7248010039329529},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6766319870948792},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.6118549704551697},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.5609536170959473},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5519466400146484},{"id":"https://openalex.org/C71017364","wikidata":"https://www.wikidata.org/wiki/Q5421532","display_name":"Exponential time hypothesis","level":3,"score":0.5219537615776062},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.44347354769706726},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4360584020614624},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.36888158321380615},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.2525734305381775},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12073066830635071}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1007/s00453-021-00808-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00808-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00808-9.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:drops-oai.dagstuhl.de:11466","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.IPEC.2019.5","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"InProceedings"},{"id":"pmh:oai:arXiv.org:1907.08093","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.08093","pdf_url":"https://arxiv.org/pdf/1907.08093","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":"","raw_type":"text"},{"id":"mag:2956577062","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.08093","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-03014920v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03014920","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IPEC 2019, Sep 2019, Munich, Germany","raw_type":"Conference papers"},{"id":"pmh:oai:bora.uib.no:11250/2989805","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/2989805","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmica","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1907.08093","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.08093","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.4230/lipics.ipec.2019.5","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.ipec.2019.5","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"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":""}],"best_oa_location":{"id":"doi:10.1007/s00453-021-00808-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00808-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00808-9.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5199999809265137}],"awards":[],"funders":[{"id":"https://openalex.org/F4320323078","display_name":"Universitetet i Bergen","ror":"https://ror.org/03zga2b32"},{"id":"https://openalex.org/F4320326507","display_name":"Haukeland\u00a0Universitetssjukehus","ror":"https://ror.org/03np4e098"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2956577062.pdf","grobid_xml":"https://content.openalex.org/works/W2956577062.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1000874833","https://openalex.org/W1591155714","https://openalex.org/W1921387904","https://openalex.org/W1973911938","https://openalex.org/W1995725694","https://openalex.org/W2011039300","https://openalex.org/W2012836228","https://openalex.org/W2026014023","https://openalex.org/W2037298352","https://openalex.org/W2037968786","https://openalex.org/W2042534515","https://openalex.org/W2071116170","https://openalex.org/W2103905945","https://openalex.org/W2116087731","https://openalex.org/W2206578604","https://openalex.org/W2249739104","https://openalex.org/W2305884158","https://openalex.org/W2460825048","https://openalex.org/W2891212941","https://openalex.org/W2914414140","https://openalex.org/W2963994673","https://openalex.org/W3004026509","https://openalex.org/W3102164014"],"related_works":["https://openalex.org/W3158219244","https://openalex.org/W2952874894","https://openalex.org/W2128049247","https://openalex.org/W1977677776","https://openalex.org/W3213442239","https://openalex.org/W1799657476","https://openalex.org/W2247427276","https://openalex.org/W2144231036","https://openalex.org/W2940485869","https://openalex.org/W2127485201","https://openalex.org/W2069471278","https://openalex.org/W2149379116","https://openalex.org/W2579056633","https://openalex.org/W3002826123","https://openalex.org/W69484320","https://openalex.org/W2951811902","https://openalex.org/W3042241622","https://openalex.org/W2952085137","https://openalex.org/W2785736399","https://openalex.org/W205406847"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"resolving":[2,37,48],"set":[3,38,49],"S":[4,28],"of":[5,12,20,39,50,68,79,89,113,143,167,220,232,250,295],"a":[6,10,36,47,96,152],"graph":[7,170],"G":[8,21],"is":[9,59,71,100,118,127,171,185,242,284],"subset":[11],"its":[13,44],"vertices":[14,19],"such":[15],"that":[16,160],"no":[17,124,186],"two":[18,117],"have":[22],"the":[23,77,80,93,110,121,135,140,156,165,168,179,230,233,263,285,293,296],"same":[24],"distance":[25],"vector":[26],"to":[27,76,137,148,155,262],".":[29],"The":[30],"Metric":[31,82,144,161,189],"Dimension":[32,83,145,162,190],"problem":[33,58],"asks":[34],"for":[35,102,106,139],"minimum":[40],"size,":[41],"and":[42,61,104,236,287],"in":[43,64,191,243],"decision":[45],"form,":[46],"size":[51,78],"at":[52,115],"most":[53,116],"some":[54],"specified":[55],"integer.":[56],"This":[57,129,241],"NP-complete,":[60],"remains":[62],"so":[63],"very":[65],"restricted":[66],"classes":[67],"graphs.":[69],"It":[70],"also":[72],"W[2]-complete":[73],"with":[74,146,223,246,260],"respect":[75,147,261],"solution.":[81],"has":[84,130],"proven":[85],"elusive":[86],"on":[87,134,216],"graphs":[88,219],"bounded":[90],"treewidth.":[91,149],"On":[92,120],"algorithmic":[94],"side,":[95,123],"polynomial":[97],"time":[98,192],"algorithm":[99,187,249],"known":[101],"trees,":[103],"even":[105],"outerplanar":[107],"graphs,":[108],"but":[109],"general":[111],"case":[112],"treewidth":[114,166],"open.":[119],"complexity":[122,142],"parameterized":[125,141,163],"hardness":[126],"known.":[128],"led":[131],"several":[132],"papers":[133],"topic":[136],"ask":[138],"We":[150,158],"provide":[151],"first":[153],"answer":[154],"question.":[157],"show":[159],"by":[164],"input":[169,234,297],"W[1]-hard.":[172],"More":[173],"refinedly":[174],"we":[175],"prove":[176],"that,":[177],"unless":[178],"Exponential":[180],"Time":[181],"Hypothesis":[182],"fails,":[183],"there":[184],"solving":[188],"$$f(\\text":[193],"{pw})n^{o(\\text":[194],"{pw})}$$":[195],"<mml:math":[196,226,268,280,289],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[197,227,269,281,290],"<mml:mrow>":[198,200,207,270],"<mml:mi>f</mml:mi>":[199],"<mml:mo>(</mml:mo>":[201,209],"<mml:mtext>pw</mml:mtext>":[202,210,228],"<mml:mo>)</mml:mo>":[203,211],"</mml:mrow>":[204,212,214,274],"<mml:msup>":[205],"<mml:mi>n</mml:mi>":[206],"<mml:mi>o</mml:mi>":[208],"</mml:msup>":[213],"</mml:math>":[215,229,275,283,292],"n":[217],"-vertex":[218],"constant":[221],"degree,":[222],"$$\\text":[224,266,278],"{pw}$$":[225],"pathwidth":[231],"graph,":[235],"f":[237],"any":[238],"computable":[239],"function.":[240],"stark":[244],"contrast":[245],"an":[247],"FPT":[248],"Belmonte":[251],"et":[252],"al.":[253],"(SIAM":[254],"J":[255],"Discrete":[256],"Math":[257],"31(2):1217\u20131243,":[258],"2017)":[259],"combined":[264],"parameter":[265],"{tl}+\\Delta$$":[267],"<mml:mtext>tl</mml:mtext>":[271,282],"<mml:mo>+</mml:mo>":[272],"<mml:mi>\u0394</mml:mi>":[273,291],",":[276],"where":[277],"{tl}$$":[279],"tree-length":[286],"$$\\Delta$$":[288],"maximum-degree":[294],"graph.":[298]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
