{"id":"https://openalex.org/W4384263588","doi":"https://doi.org/10.4230/lipics.mfcs.2024.66","title":"Twin-Width of Graphs on Surfaces","display_name":"Twin-Width of Graphs on Surfaces","publication_year":2023,"publication_date":"2023-07-11","ids":{"openalex":"https://openalex.org/W4384263588","doi":"https://doi.org/10.4230/lipics.mfcs.2024.66"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2307.05811","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.05811","pdf_url":"https://arxiv.org/pdf/2307.05811","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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"},"type":"preprint","indexed_in":["arxiv","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2307.05811","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027559065","display_name":"Daniel Kr\u00e1l\u034f\u030c","orcid":"https://orcid.org/0000-0001-8680-0890"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Kr\u00e1\u013e, Daniel","raw_affiliation_strings":["Faculty of Informatics, Masaryk University, Brno, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0001-8680-0890","affiliations":[{"raw_affiliation_string":"Faculty of Informatics, Masaryk University, Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038247054","display_name":"Krist\u00fdna Pek\u00e1rkov\u00e1","orcid":"https://orcid.org/0000-0003-3539-6431"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Pek\u00e1rkov\u00e1, Krist\u00fdna","raw_affiliation_strings":["Faculty of Informatics, Masaryk University, Brno, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0003-3539-6431","affiliations":[{"raw_affiliation_string":"Faculty of Informatics, Masaryk University, Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012646330","display_name":"Kenny \u0160torgel","orcid":"https://orcid.org/0000-0002-1772-7404"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u0160torgel, Kenny","raw_affiliation_strings":["Faculty of Information Studies in Novo mesto, Slovenia"],"raw_orcid":"https://orcid.org/0000-0002-1772-7404","affiliations":[{"raw_affiliation_string":"Faculty of Information Studies in Novo mesto, Slovenia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9965999722480774,"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":0.9965999722480774,"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":0.9409999847412109,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9233999848365784,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7831109762191772},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7640239000320435},{"id":"https://openalex.org/keywords/tree-decomposition","display_name":"Tree decomposition","score":0.5725544691085815},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5593290328979492},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.4965551495552063},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48239362239837646},{"id":"https://openalex.org/keywords/asymptotically-optimal-algorithm","display_name":"Asymptotically optimal algorithm","score":0.4613812565803528},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.43952062726020813},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4266817569732666},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.4226158857345581},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.23656567931175232},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1526014804840088},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.11784982681274414},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06751242280006409}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7831109762191772},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7640239000320435},{"id":"https://openalex.org/C70501317","wikidata":"https://www.wikidata.org/wiki/Q462095","display_name":"Tree decomposition","level":5,"score":0.5725544691085815},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5593290328979492},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.4965551495552063},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48239362239837646},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.4613812565803528},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.43952062726020813},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4266817569732666},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.4226158857345581},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.23656567931175232},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1526014804840088},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.11784982681274414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06751242280006409}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:2307.05811","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.05811","pdf_url":"https://arxiv.org/pdf/2307.05811","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:drops-oai.dagstuhl.de:20622","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2024.66","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol306-mfcs2024/LIPIcs.MFCS.2024.66/LIPIcs.MFCS.2024.66.pdf","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.2307.05811","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2307.05811","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"Preprint"},{"id":"doi:10.4230/lipics.mfcs.2024.66","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.mfcs.2024.66","pdf_url":null,"source":{"id":"https://openalex.org/S4393917817","display_name":"Leibniz international proceedings in informatics","issn_l":"1868-8969","issn":["1868-8969"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2307.05811","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.05811","pdf_url":"https://arxiv.org/pdf/2307.05811","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1414227727","display_name":"Matchings and edge-colorings in cubic graphs","funder_award_id":"J1-3002","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G2400608947","display_name":"Tree-Independence Number of Graphs","funder_award_id":"J1-4008","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G3062361059","display_name":"Complex networks","funder_award_id":"P1-0383","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G4311618646","display_name":null,"funder_award_id":"MUNI/I/1677/2018","funder_id":"https://openalex.org/F4320326548","funder_display_name":"Masarykova Univerzita"}],"funders":[{"id":"https://openalex.org/F4320322554","display_name":"Javna Agencija za Raziskovalno Dejavnost RS","ror":"https://ror.org/059bp8k51"},{"id":"https://openalex.org/F4320326548","display_name":"Masarykova Univerzita","ror":"https://ror.org/02j46qs45"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4384263588.pdf","grobid_xml":"https://content.openalex.org/works/W4384263588.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1836127928","https://openalex.org/W1576158606","https://openalex.org/W1490290385","https://openalex.org/W1572255008","https://openalex.org/W1972515959","https://openalex.org/W2027388354","https://openalex.org/W2289764920","https://openalex.org/W2583710543","https://openalex.org/W4301463689","https://openalex.org/W2605313623"],"abstract_inverted_index":{"Twin-width":[0],"is":[1,37,40,105],"a":[2,31,53,61,67,85,106,113,116,119,130],"width":[3],"parameter":[4],"introduced":[5],"by":[6,52],"Bonnet,":[7],"Kim,":[8],"Thomass\u00e9":[9],"and":[10,18,115],"Watrigant":[11],"[FOCS'20,":[12],"JACM'22],":[13],"which":[14,39],"has":[15],"many":[16],"structural":[17],"algorithmic":[19],"applications.":[20],"We":[21],"prove":[22,72],"that":[23,99,101],"the":[24,49,73,89,109],"twin-width":[25,77],"of":[26,33,78,88,95,108,112,124,134],"every":[27,102],"graph":[28,104,117],"embeddable":[29,80],"in":[30,81],"surface":[32],"Euler":[34,96],"genus":[35,97],"$g$":[36,98],"$18\\sqrt{47g}+O(1)$,":[38],"asymptotically":[41,46],"best":[42],"possible":[43],"as":[44],"it":[45],"differs":[47],"from":[48],"lower":[50],"bound":[51,75],"constant":[54],"multiplicative":[55],"factor.":[56],"Our":[57],"proof":[58],"also":[59],"yields":[60],"quadratic":[62],"time":[63],"algorithm":[64],"to":[65],"find":[66],"corresponding":[68],"contraction":[69],"sequence.":[70],"To":[71],"upper":[74],"on":[76],"graphs":[79,94],"surfaces,":[82],"we":[83],"provide":[84],"stronger":[86],"version":[87],"Product":[90],"Structure":[91],"Theorem":[92],"for":[93],"asserts":[100],"such":[103],"subgraph":[107],"strong":[110],"product":[111],"path":[114],"with":[118,121,129],"tree-decomposition":[120],"all":[122],"bags":[123],"size":[125,135],"at":[126],"most":[127],"eight":[128],"single":[131],"exceptional":[132],"bag":[133],"$\\max\\{8,32g-27\\}$.":[136]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2023-07-14T00:00:00"}