{"id":"https://openalex.org/W3008551857","doi":"https://doi.org/10.1007/s00453-021-00822-x","title":"Subexponential Parameterized Algorithms and Kernelization on Almost Chordal Graphs","display_name":"Subexponential Parameterized Algorithms and Kernelization on Almost Chordal Graphs","publication_year":2021,"publication_date":"2021-04-11","ids":{"openalex":"https://openalex.org/W3008551857","doi":"https://doi.org/10.1007/s00453-021-00822-x","mag":"3008551857"},"language":"lv","primary_location":{"id":"doi:10.1007/s00453-021-00822-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00822-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00822-x.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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","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/s00453-021-00822-x.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":true,"raw_author_name":"Fedor V. Fomin","raw_affiliation_strings":["Department of Informatics, University of Bergen, PB 7803, 5020 Bergen, Norway 2171","Department of Informatics, University of Bergen, Bergen, Norway ("],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, PB 7803, 5020 Bergen, Norway 2171","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway (","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051709720","display_name":"Petr A. Golovach","orcid":"https://orcid.org/0000-0002-2619-2990"},"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":"Petr A. Golovach","raw_affiliation_strings":["Department of Informatics, University of Bergen, PB 7803, 5020 Bergen, Norway 2171","Department of Informatics, University of Bergen, Bergen, Norway ("],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, PB 7803, 5020 Bergen, Norway 2171","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway (","institution_ids":["https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075328697"],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01493686,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"83","issue":"7","first_page":"2170","last_page":"2214"},"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":0.9973999857902527,"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/T11567","display_name":"semigroups and automata theory","score":0.9947999715805054,"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/chordal-graph","display_name":"Chordal graph","score":0.9111236333847046},{"id":"https://openalex.org/keywords/kernelization","display_name":"Kernelization","score":0.7538883686065674},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6992130875587463},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6967340707778931},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6756820678710938},{"id":"https://openalex.org/keywords/interval-graph","display_name":"Interval graph","score":0.6406297087669373},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.6274508833885193},{"id":"https://openalex.org/keywords/clique-problem","display_name":"Clique problem","score":0.5266589522361755},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.524011492729187},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.4864053726196289},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.4604194462299347},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.4561580419540405},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45022130012512207},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.4412064850330353},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.42952659726142883},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.37861907482147217},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.336436003446579},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.21193769574165344},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10579216480255127}],"concepts":[{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.9111236333847046},{"id":"https://openalex.org/C207225210","wikidata":"https://www.wikidata.org/wiki/Q1759539","display_name":"Kernelization","level":3,"score":0.7538883686065674},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6992130875587463},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6967340707778931},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6756820678710938},{"id":"https://openalex.org/C67810366","wikidata":"https://www.wikidata.org/wiki/Q835942","display_name":"Interval graph","level":5,"score":0.6406297087669373},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.6274508833885193},{"id":"https://openalex.org/C150997102","wikidata":"https://www.wikidata.org/wiki/Q1196873","display_name":"Clique problem","level":5,"score":0.5266589522361755},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.524011492729187},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.4864053726196289},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.4604194462299347},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.4561580419540405},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45022130012512207},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.4412064850330353},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42952659726142883},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.37861907482147217},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.336436003446579},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.21193769574165344},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10579216480255127}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1007/s00453-021-00822-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00822-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00822-x.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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2002.08226","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.08226","pdf_url":"https://arxiv.org/pdf/2002.08226","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":"mag:3008551857","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2002.08226","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:bora.uib.no:11250/2755698","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/2755698","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":"Leibniz International Proceedings in Informatics","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:bora.uib.no:11250/2976036","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/2976036","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":"pmh:oai:drops-oai.dagstuhl.de:12915","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2020.49","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"InProceedings"},{"id":"doi:10.48550/arxiv.2002.08226","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2002.08226","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.esa.2020.49","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.esa.2020.49","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":""},{"id":"mag:3154186902","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/esa/esa2020.html#FominG20a","pdf_url":null,"source":{"id":"https://openalex.org/S4306418381","display_name":"European Symposium on Algorithms","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"European Symposium on Algorithms","raw_type":null}],"best_oa_location":{"id":"doi:10.1007/s00453-021-00822-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00822-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00822-x.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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3177294848","display_name":null,"funder_award_id":"263317","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G3748656914","display_name":null,"funder_award_id":"Norway","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G7931603690","display_name":null,"funder_award_id":"MULTIVAL","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"}],"funders":[{"id":"https://openalex.org/F4320323078","display_name":"Universitetet i Bergen","ror":"https://ror.org/03zga2b32"},{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"},{"id":"https://openalex.org/F4320326507","display_name":"Haukeland\u00a0Universitetssjukehus","ror":"https://ror.org/03np4e098"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3008551857.pdf","grobid_xml":"https://content.openalex.org/works/W3008551857.grobid-xml"},"referenced_works_count":73,"referenced_works":["https://openalex.org/W1485395310","https://openalex.org/W1489471929","https://openalex.org/W1493923326","https://openalex.org/W1507717186","https://openalex.org/W1517921658","https://openalex.org/W1579049696","https://openalex.org/W1586744224","https://openalex.org/W1597775697","https://openalex.org/W1779781738","https://openalex.org/W1924811958","https://openalex.org/W1964064059","https://openalex.org/W1968041356","https://openalex.org/W1968952709","https://openalex.org/W1971010887","https://openalex.org/W1973310391","https://openalex.org/W1978452004","https://openalex.org/W1981917097","https://openalex.org/W1991477862","https://openalex.org/W1995725694","https://openalex.org/W2001020288","https://openalex.org/W2003744153","https://openalex.org/W2006204498","https://openalex.org/W2012067448","https://openalex.org/W2027566319","https://openalex.org/W2028357390","https://openalex.org/W2039100365","https://openalex.org/W2048237851","https://openalex.org/W2053623386","https://openalex.org/W2059273723","https://openalex.org/W2061782500","https://openalex.org/W2064721098","https://openalex.org/W2086119402","https://openalex.org/W2086331454","https://openalex.org/W2088722899","https://openalex.org/W2090960684","https://openalex.org/W2094224753","https://openalex.org/W2097374444","https://openalex.org/W2100440346","https://openalex.org/W2106097003","https://openalex.org/W2116087731","https://openalex.org/W2124174860","https://openalex.org/W2125720043","https://openalex.org/W2130673833","https://openalex.org/W2143474538","https://openalex.org/W2144050783","https://openalex.org/W2168123742","https://openalex.org/W2180988813","https://openalex.org/W2230017674","https://openalex.org/W2523471455","https://openalex.org/W2570366614","https://openalex.org/W2798588639","https://openalex.org/W2800920272","https://openalex.org/W2891457632","https://openalex.org/W2903526093","https://openalex.org/W2904185472","https://openalex.org/W2914414140","https://openalex.org/W2962874115","https://openalex.org/W3000704721","https://openalex.org/W3000706835","https://openalex.org/W3001577222","https://openalex.org/W3022542130","https://openalex.org/W3122973673","https://openalex.org/W3139078859","https://openalex.org/W3146250150","https://openalex.org/W4211121212","https://openalex.org/W4238913085","https://openalex.org/W4242090205","https://openalex.org/W4250699352","https://openalex.org/W4253175698","https://openalex.org/W4292070118","https://openalex.org/W4293860921","https://openalex.org/W6602685996","https://openalex.org/W6631722374"],"related_works":["https://openalex.org/W3154186902","https://openalex.org/W2759740247","https://openalex.org/W2579056633","https://openalex.org/W2153676433","https://openalex.org/W1566722385","https://openalex.org/W2944564962","https://openalex.org/W69484320","https://openalex.org/W2949708316","https://openalex.org/W3126578916","https://openalex.org/W2964160217","https://openalex.org/W2972568639","https://openalex.org/W2949611055","https://openalex.org/W2936634590","https://openalex.org/W2217678137","https://openalex.org/W1799657476","https://openalex.org/W3088857247","https://openalex.org/W2785736399","https://openalex.org/W205406847","https://openalex.org/W2963094505","https://openalex.org/W2963253390"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"study":[2],"algorithmic":[3],"properties":[4],"of":[5,54,56,67,113,176,187,200,206,283,315,329,333,374,430],"the":[6,52,177,204,214,281,313,330,372],"graph":[7,43,229],"class":[8,53,112,181,282],"$${\\textsc":[9,82,117,239,284,344,394,431],"{Chordal}}{-ke}$$":[10,83,118,240,285,345,395,432],"<mml:math":[11,84,119,146,241,286,346,396,433],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[12,85,120,147,242,287,347,397,434],"<mml:mrow>":[13,14,25,86,87,98,121,122,133,148,151,165,243,244,255,288,289,300,348,349,360,398,399,410,435,436,447],"<mml:mi>C</mml:mi>":[15,88,123,245,290,350,400,437],"<mml:mstyle>":[16,89,124,246,291,351,401,438],"<mml:mi>H</mml:mi>":[17,90,125,247,292,352,402,439],"<mml:mi>O</mml:mi>":[18,91,126,152,166,248,293,353,403,440],"<mml:mi>R</mml:mi>":[19,92,127,249,294,354,404,441],"<mml:mi>D</mml:mi>":[20,93,128,250,295,355,405,442],"<mml:mi>A</mml:mi>":[21,94,129,251,296,356,406,443],"<mml:mi>L</mml:mi>":[22,95,130,252,297,357,407,444],"</mml:mstyle>":[23,96,131,253,298,358,408,445],"</mml:mrow>":[24,29,30,97,102,103,132,137,138,160,170,172,254,259,260,299,304,305,359,364,365,409,414,415,446],"<mml:mo>-</mml:mo>":[26,99,134,256,301,361,411,448],"<mml:mi>k</mml:mi>":[27,100,135,155,158,257,302,362,412],"<mml:mi>e</mml:mi>":[28,101,136,258,303,363,413],"</mml:math>":[31,104,139,173,261,306,366,416],",":[32],"that":[33,36,64,219,327],"is,":[34],"graphs":[35,55,80,307],"can":[37],"be":[38,310],"turned":[39],"into":[40],"a":[41,65,110,191,208,233,386],"chordal":[42],"by":[44,74,264],"adding":[45],"at":[46,58],"most":[47,59,328],"k":[48,60,75,265,272,319,341],"edges":[49],"or,":[50],"equivalently,":[51],"fill-in":[57],".":[61,105,174],"It":[62],"appears":[63,308],"number":[66],"fundamental":[68,222],"intractable":[69],"optimization":[70,114,223,334],"problems":[71,115,178,335],"being":[72],"parameterized":[73,263],"admit":[76,269,338],"subexponential":[77,270,278],"algorithms":[78,273],"on":[79,116,238,343,393,426],"from":[81,179,312],"More":[106],"precisely,":[107],"we":[108,217,384,422],"identify":[109],"large":[111],"solvable":[140],"in":[141,271,340],"time":[142,279],"$$2^{{\\mathcal{O}}(\\sqrt{k}\\log":[143],"k)}\\cdot":[144],"n^{{\\mathcal{O}}(1)}$$":[145],"<mml:msup>":[149,163],"<mml:mn>2</mml:mn>":[150],"<mml:mo>(</mml:mo>":[153,167],"<mml:msqrt>":[154],"</mml:msqrt>":[156],"<mml:mo>log</mml:mo>":[157],"<mml:mo>)</mml:mo>":[159,169],"</mml:msup>":[161,171],"<mml:mo>\u00b7</mml:mo>":[162],"<mml:mi>n</mml:mi>":[164],"<mml:mn>1</mml:mn>":[168],"Examples":[175],"this":[180,368],"are":[182,236],"finding":[183,190,207,226,232],"an":[184,196,227],"independent":[185],"set":[186,194],"maximum":[188,209,234],"weight,":[189,202],"feedback":[192],"vertex":[193],"or":[195,203,231],"odd":[197],"cycle":[198],"transversal":[199],"minimum":[201],"problem":[205],"induced":[210],"planar":[211],"subgraph.":[212],"On":[213],"other":[215],"hand,":[216],"show":[218,326],"for":[220,379,390],"some":[221],"problems,":[224],"like":[225],"optimal":[228],"coloring":[230],"clique,":[235],"FPT":[237],"when":[262],"but":[266],"do":[267,336],"not":[268,337,370],"unless":[274],"ETH":[275],"fails.":[276],"Besides":[277],"algorithms,":[280],"to":[309,325],"appealing":[311],"perspective":[314],"kernelization":[316,376,378],"(with":[317],"parameter":[318],").":[320],"While":[321],"it":[322],"is":[323],"possible":[324],"weighted":[331],"variants":[332],"polynomial":[339,387,424],"kernels":[342,425],"graphs,":[367],"does":[369],"exclude":[371],"existence":[373],"Turing":[375,388],"and":[377],"unweighted":[380],"graphs.":[381,417],"In":[382],"particular,":[383],"construct":[385],"kernel":[389],"Weighted":[391],"Clique":[392],"For":[418],"(unweighted)":[419],"Independent":[420],"Set":[421],"design":[423],"two":[427],"interesting":[428],"subclasses":[429]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
