{"id":"https://openalex.org/W2953275252","doi":"https://doi.org/10.1137/15m1046289","title":"A Correction on Shiloach's Algorithm for Minimum Linear Arrangement of Trees","display_name":"A Correction on Shiloach's Algorithm for Minimum Linear Arrangement of Trees","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2953275252","doi":"https://doi.org/10.1137/15m1046289","mag":"2953275252"},"language":"en","primary_location":{"id":"doi:10.1137/15m1046289","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1046289","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1511.01061","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089588504","display_name":"Juan Luis Esteban","orcid":"https://orcid.org/0000-0003-0072-6576"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Juan Luis Esteban","raw_affiliation_strings":["Logic and Programming, LOGPROG Research Group, Departament de Ci\u00e8ncies de la Computaci\u00f3, Universitat Polit\u00e8cnica de Catalunya, Campus Nord, Edifici Omega. Jordi Girona Salgado 1-3. 08034 Barcelona, Catalonia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Logic and Programming, LOGPROG Research Group, Departament de Ci\u00e8ncies de la Computaci\u00f3, Universitat Polit\u00e8cnica de Catalunya, Campus Nord, Edifici Omega. Jordi Girona Salgado 1-3. 08034 Barcelona, Catalonia, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014322193","display_name":"Ramon Ferrer\u2010i\u2010Cancho","orcid":"https://orcid.org/0000-0002-7820-923X"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ramon Ferrer-i-Cancho","raw_affiliation_strings":["Complexity & Qualitative Linguistics Lab, LARCA Research Group, Departament de Ci\u00e8ncies de la Computaci\u00f3, Universitat Polit\u00e8cnica de Catalunya, Campus Nord, Edifici Omega. Jordi Girona Salgado 1-3. 08034 Barcelona, Catalonia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Complexity & Qualitative Linguistics Lab, LARCA Research Group, Departament de Ci\u00e8ncies de la Computaci\u00f3, Universitat Polit\u00e8cnica de Catalunya, Campus Nord, Edifici Omega. Jordi Girona Salgado 1-3. 08034 Barcelona, Catalonia, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089588504"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":0.7173,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.75418623,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"46","issue":"3","first_page":"1146","last_page":"1151"},"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":0.9968000054359436,"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":0.9936000108718872,"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/notation","display_name":"Notation","score":0.6185394525527954},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6121810674667358},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47662484645843506},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45649993419647217},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.438165545463562},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3589135408401489},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.13647755980491638}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6185394525527954},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6121810674667358},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47662484645843506},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45649993419647217},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.438165545463562},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3589135408401489},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.13647755980491638}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/15m1046289","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1046289","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1511.01061","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1511.01061","pdf_url":"https://arxiv.org/pdf/1511.01061","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:recercat.cat:2072/288808","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/106035","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/submittedVersion"},{"id":"pmh:oai:upcommons.upc.edu:2117/106035","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/106035","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1511.01061","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1511.01061","pdf_url":"https://arxiv.org/pdf/1511.01061","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G130295011","display_name":null,"funder_award_id":"TIN2016-76573-C2-1-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G5975705685","display_name":null,"funder_award_id":"2014SGR 890 (MACDA)","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G7986166557","display_name":null,"funder_award_id":"APCOM project (TIN2014-57226-P)","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320334830","display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca","ror":"https://ror.org/01n4pqe45"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1563271971","https://openalex.org/W2012951995","https://openalex.org/W2066367369","https://openalex.org/W2079966248","https://openalex.org/W2086214832","https://openalex.org/W2090666691","https://openalex.org/W2097116563","https://openalex.org/W2274259205","https://openalex.org/W3123894123","https://openalex.org/W4235419234"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2504004674","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"More":[0],"than":[1],"30":[2],"years":[3],"ago,":[4],"Shiloach":[5],"published":[6],"an":[7],"algorithm":[8,31],"to":[9],"solve":[10],"the":[11,26,30,45],"minimum":[12],"linear":[13],"arrangement":[14],"problem":[15],"for":[16],"undirected":[17],"trees.":[18],"Here":[19],"we":[20],"fix":[21],"a":[22],"small":[23],"error":[24],"in":[25],"original":[27],"version":[28],"of":[29,44],"and":[32],"discuss":[33],"its":[34],"effect":[35],"on":[36],"subsequent":[37],"literature.":[38],"We":[39],"also":[40],"improve":[41],"some":[42],"aspects":[43],"notation.":[46]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3}],"updated_date":"2026-05-19T08:33:51.333923","created_date":"2025-10-10T00:00:00"}