{"id":"https://openalex.org/W2091208300","doi":"https://doi.org/10.1137/s089548019223992x","title":"Treewidth and Pathwidth of Permutation Graphs","display_name":"Treewidth and Pathwidth of Permutation Graphs","publication_year":1995,"publication_date":"1995-11-01","ids":{"openalex":"https://openalex.org/W2091208300","doi":"https://doi.org/10.1137/s089548019223992x","mag":"2091208300"},"language":"en","primary_location":{"id":"doi:10.1137/s089548019223992x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s089548019223992x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","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/A5032730524","display_name":"Hans L. Bodlaender","orcid":"https://orcid.org/0000-0002-9297-3330"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Hans L. Bodlaender","raw_affiliation_strings":["Dept. of Computer Science, Utrecht Univ., TB Utrecht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, Utrecht Univ., TB Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049113552","display_name":"Ton Kloks","orcid":"https://orcid.org/0000-0001-8825-3464"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ton Kloks","raw_affiliation_strings":["Dept. of Computer Science, Utrecht Univ., TB Utrecht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, Utrecht Univ., TB Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109894460","display_name":"Dieter Kratsch","orcid":null},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dieter Kratsch","raw_affiliation_strings":["Fakult\u00e4t Mathematik, Friedrich-Schiller-Universit\u00e4t, Universit\u00e4tshochhaus, Jena, Germany"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t Mathematik, Friedrich-Schiller-Universit\u00e4t, Universit\u00e4tshochhaus, Jena, Germany","institution_ids":["https://openalex.org/I76198965"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032730524"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":null,"apc_paid":null,"fwci":6.2525,"has_fulltext":false,"cited_by_count":111,"citation_normalized_percentile":{"value":0.97086891,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"8","issue":"4","first_page":"606","last_page":"616"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":1.0,"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":1.0,"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":0.9991000294685364,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9984999895095825,"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/treewidth","display_name":"Treewidth","score":0.8670808672904968},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.8520165085792542},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7459490895271301},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7397598028182983},{"id":"https://openalex.org/keywords/permutation-graph","display_name":"Permutation graph","score":0.6905839443206787},{"id":"https://openalex.org/keywords/partial-k-tree","display_name":"Partial k-tree","score":0.657721757888794},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5725026726722717},{"id":"https://openalex.org/keywords/tree-depth","display_name":"Tree-depth","score":0.5676622986793518},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.5340543985366821},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.4598913788795471},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.43423986434936523},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3224097490310669},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.11587116122245789}],"concepts":[{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.8670808672904968},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.8520165085792542},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7459490895271301},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7397598028182983},{"id":"https://openalex.org/C68965932","wikidata":"https://www.wikidata.org/wiki/Q7169369","display_name":"Permutation graph","level":3,"score":0.6905839443206787},{"id":"https://openalex.org/C128764233","wikidata":"https://www.wikidata.org/wiki/Q7140374","display_name":"Partial k-tree","level":5,"score":0.657721757888794},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5725026726722717},{"id":"https://openalex.org/C69284658","wikidata":"https://www.wikidata.org/wiki/Q7837500","display_name":"Tree-depth","level":5,"score":0.5676622986793518},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.5340543985366821},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.4598913788795471},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.43423986434936523},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3224097490310669},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.11587116122245789},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s089548019223992x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s089548019223992x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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 Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W239742334","https://openalex.org/W1511821218","https://openalex.org/W1517921658","https://openalex.org/W1541044338","https://openalex.org/W1587078595","https://openalex.org/W1593573721","https://openalex.org/W1636203894","https://openalex.org/W1991755800","https://openalex.org/W1994038277","https://openalex.org/W2004237078","https://openalex.org/W2012154006","https://openalex.org/W2019683022","https://openalex.org/W2022971294","https://openalex.org/W2027388354","https://openalex.org/W2034501206","https://openalex.org/W2046834193","https://openalex.org/W2047899424","https://openalex.org/W2060438030","https://openalex.org/W2064796716","https://openalex.org/W2080076699","https://openalex.org/W2085550081","https://openalex.org/W2124568589","https://openalex.org/W2143406303","https://openalex.org/W2143474538","https://openalex.org/W2150848741","https://openalex.org/W2151617868","https://openalex.org/W2159003936","https://openalex.org/W2160875590","https://openalex.org/W2320198223","https://openalex.org/W2804864664","https://openalex.org/W3021010896","https://openalex.org/W4213368513"],"related_works":["https://openalex.org/W2091382007","https://openalex.org/W1976784955","https://openalex.org/W2111290740","https://openalex.org/W1539278744","https://openalex.org/W2012687409","https://openalex.org/W4297435153","https://openalex.org/W2143406303","https://openalex.org/W2949199930","https://openalex.org/W1976463682","https://openalex.org/W1585579706"],"abstract_inverted_index":{"In":[0,20],"this":[1,94],"paper,":[2],"we":[3,22],"show":[4,23,92],"that":[5,93],"the":[6,28,41,49,65,86,102,116],"treewidth":[7,29,51,66],"and":[8,30],"pathwidth":[9,31,103],"of":[10,40,104],"a":[11,105],"permutation":[12,26,37,106],"graph":[13,44,107],"can":[14,75,96],"be":[15,55,76,98],"computed":[16],"in":[17,57,80,108],"polynomial":[18,58],"time.":[19,59],"fact":[21],"that,":[24],"for":[25,46],"graphs,":[27],"are":[32],"equal.":[33],"These":[34],"results":[35],"make":[36],"graphs":[38],"one":[39],"few":[42],"nontrivial":[43],"classes":[45],"which,":[47],"at":[48,69],"moment,":[50],"is":[52,68,89,115],"known":[53],"to":[54,78,100],"computable":[56],"Our":[60],"algorithm,":[61],"which":[62],"decides":[63],"whether":[64],"(pathwidth)":[67],"most":[70],"some":[71],"given":[72],"integer":[73],"k,":[74],"implemented":[77],"run":[79],"$O(":[81,109],"nk":[82,110],")$":[83,111],"time":[84],"when":[85],"matching":[87],"diagram":[88],"given.":[90],"We":[91],"algorithm":[95],"easily":[97],"adapted":[99],"compute":[101],"time,":[112],"where":[113],"k":[114],"pathwidth.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}