{"id":"https://openalex.org/W2346271234","doi":"https://doi.org/10.1145/2898352","title":"Tractable Parameterizations for the Minimum Linear Arrangement Problem","display_name":"Tractable Parameterizations for the Minimum Linear Arrangement Problem","publication_year":2016,"publication_date":"2016-05-05","ids":{"openalex":"https://openalex.org/W2346271234","doi":"https://doi.org/10.1145/2898352","mag":"2346271234"},"language":"en","primary_location":{"id":"doi:10.1145/2898352","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2898352","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"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 Computation Theory","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/A5054676766","display_name":"Michael R. Fellows","orcid":"https://orcid.org/0000-0002-6148-9212"},"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":"Michael R. Fellows","raw_affiliation_strings":["Bergen University, Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bergen University, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052950579","display_name":"Danny Hermelin","orcid":"https://orcid.org/0000-0002-6379-0383"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Danny Hermelin","raw_affiliation_strings":["Ben-Gurion University, Beer-Sheva, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ben-Gurion University, Beer-Sheva, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047322831","display_name":"Frances Rosamond","orcid":"https://orcid.org/0000-0002-5097-9929"},"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":"Frances Rosamond","raw_affiliation_strings":["Bergen University, Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bergen University, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061815610","display_name":"Hadas Shachnai","orcid":"https://orcid.org/0000-0002-6645-4350"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Hadas Shachnai","raw_affiliation_strings":["Technion, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technion, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.9403,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.98639477,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"8","issue":"2","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9934999942779541,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.8634669780731201},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.7540532350540161},{"id":"https://openalex.org/keywords/vertex-cover","display_name":"Vertex cover","score":0.7504240274429321},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7371705174446106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6419227123260498},{"id":"https://openalex.org/keywords/edge-cover","display_name":"Edge cover","score":0.5377237200737},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.5089499950408936},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5055196285247803},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.4861564338207245},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.4549536108970642},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44693031907081604},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.4348585307598114},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.42390280961990356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2045922875404358}],"concepts":[{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.8634669780731201},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7540532350540161},{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.7504240274429321},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7371705174446106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6419227123260498},{"id":"https://openalex.org/C17762858","wikidata":"https://www.wikidata.org/wiki/Q594001","display_name":"Edge cover","level":3,"score":0.5377237200737},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.5089499950408936},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5055196285247803},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.4861564338207245},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.4549536108970642},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44693031907081604},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.4348585307598114},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.42390280961990356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2045922875404358},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2898352","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2898352","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"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 Computation Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W139921209","https://openalex.org/W270827711","https://openalex.org/W1485295947","https://openalex.org/W1966291420","https://openalex.org/W1971818177","https://openalex.org/W1988217358","https://openalex.org/W1992976178","https://openalex.org/W1995472412","https://openalex.org/W1995561296","https://openalex.org/W2001020288","https://openalex.org/W2007525305","https://openalex.org/W2011039300","https://openalex.org/W2011105641","https://openalex.org/W2026129593","https://openalex.org/W2040081895","https://openalex.org/W2070685861","https://openalex.org/W2077044402","https://openalex.org/W2114616381","https://openalex.org/W2116087731","https://openalex.org/W2137012936","https://openalex.org/W2143693959","https://openalex.org/W2798588639"],"related_works":["https://openalex.org/W2036594069","https://openalex.org/W4244658307","https://openalex.org/W2156896570","https://openalex.org/W2949255922","https://openalex.org/W2038655901","https://openalex.org/W101378340","https://openalex.org/W2027513055","https://openalex.org/W1486147625","https://openalex.org/W1588220234","https://openalex.org/W208044229"],"abstract_inverted_index":{"The":[0],"M":[1],"inimum":[2],"L":[3],"inear":[4],"A":[5],"rrangement":[6],"(MLA)":[7],"problem":[8],"involves":[9],"embedding":[10],"a":[11,70,95],"given":[12],"graph":[13,29],"on":[14],"the":[15,20,23,27,46,49,86,91,110,119],"integer":[16],"line":[17],"so":[18],"that":[19,60,103],"sum":[21],"of":[22,26,48,90,118],"edge":[24,114],"lengths":[25],"embedded":[28],"is":[30,85],"minimized.":[31],"Most":[32],"layout":[33],"problems":[34],"are":[35],"either":[36],"intractable":[37],"or":[38],"not":[39],"known":[40],"to":[41,57],"be":[42],"tractable,":[43],"parameterized":[44,78,107],"by":[45,79],"treewidth":[47],"input":[50,92,120],"graph.":[51,93,121],"We":[52],"investigate":[53],"MLA":[54,77,106],"with":[55],"respect":[56],"three":[58],"parameters":[59],"provide":[61],"more":[62],"structure":[63],"than":[64],"treewidth.":[65],"In":[66],"particular,":[67],"we":[68,98],"give":[69],"factor":[71],"(1":[72],"+":[73],"\u03b5)-approximation":[74],"algorithm":[75],"for":[76],"(\u03b5,":[80],"k":[81,84],"),":[82],"where":[83],"vertex":[87],"cover":[88,116],"number":[89],"By":[94],"similar":[96],"approach,":[97],"obtain":[99],"two":[100],"FPT":[101],"algorithms":[102],"exactly":[104],"solve":[105],"by,":[108],"respectively,":[109],"max":[111],"leaf":[112],"and":[113],"clique":[115],"numbers":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":32},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
