{"id":"https://openalex.org/W2015516462","doi":"https://doi.org/10.1137/10080052x","title":"Linear Time Split Decomposition Revisited","display_name":"Linear Time Split Decomposition Revisited","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2015516462","doi":"https://doi.org/10.1137/10080052x","mag":"2015516462"},"language":"en","primary_location":{"id":"doi:10.1137/10080052x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/10080052x","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-00921774","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015923364","display_name":"Pierre Charbit","orcid":"https://orcid.org/0000-0001-9401-040X"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Charbit","raw_affiliation_strings":["GANG - Networks, Graphs and Algorithms (France)","LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris cedex 13 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GANG - Networks, Graphs and Algorithms (France)","institution_ids":[]},{"raw_affiliation_string":"LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris cedex 13 - France)","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210094115"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001977542","display_name":"Fabien de Montgolfier","orcid":"https://orcid.org/0000-0002-3237-4256"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fabien de Montgolfier","raw_affiliation_strings":["GANG - Networks, Graphs and Algorithms (France)","LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris cedex 13 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GANG - Networks, Graphs and Algorithms (France)","institution_ids":[]},{"raw_affiliation_string":"LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris cedex 13 - France)","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210094115"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036712583","display_name":"Mathieu Raffinot","orcid":"https://orcid.org/0009-0006-4621-2705"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mathieu Raffinot","raw_affiliation_strings":["LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris cedex 13 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris cedex 13 - France)","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210094115"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.2046,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.9428657,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"26","issue":"2","first_page":"499","last_page":"514"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9940000176429749,"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":0.9940000176429749,"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":0.9873999953269958,"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":0.9861000180244446,"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/mathematics","display_name":"Mathematics","score":0.7803109884262085},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7155967950820923},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.6040235161781311},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.559760570526123},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.552859902381897},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49765804409980774},{"id":"https://openalex.org/keywords/join","display_name":"Join (topology)","score":0.489022821187973},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48178526759147644},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4611085057258606},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4290611445903778},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1143481433391571}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7803109884262085},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7155967950820923},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.6040235161781311},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.559760570526123},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.552859902381897},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49765804409980774},{"id":"https://openalex.org/C2776124973","wikidata":"https://www.wikidata.org/wiki/Q3183033","display_name":"Join (topology)","level":2,"score":0.489022821187973},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48178526759147644},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4611085057258606},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4290611445903778},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1143481433391571},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/10080052x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/10080052x","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"},{"id":"pmh:oai:HAL:hal-00921774v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00921774","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Discrete Mathematics, 2012, 26 (2), pp.499-514. &#x27E8;10.1137/10080052X&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00921774v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00921774","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Discrete Mathematics, 2012, 26 (2), pp.499-514. &#x27E8;10.1137/10080052X&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1482041611","https://openalex.org/W1499662001","https://openalex.org/W1520885470","https://openalex.org/W1562378785","https://openalex.org/W1576293797","https://openalex.org/W1971080253","https://openalex.org/W1974006935","https://openalex.org/W1978145399","https://openalex.org/W1984545818","https://openalex.org/W1986933608","https://openalex.org/W1987650805","https://openalex.org/W2006383151","https://openalex.org/W2008160316","https://openalex.org/W2026055698","https://openalex.org/W2049631158","https://openalex.org/W2055989559","https://openalex.org/W2059921779","https://openalex.org/W2062584330","https://openalex.org/W2094742636","https://openalex.org/W2103191280","https://openalex.org/W2106818977","https://openalex.org/W2118348286","https://openalex.org/W2914415208"],"related_works":["https://openalex.org/W3214148052","https://openalex.org/W2151692181","https://openalex.org/W794462722","https://openalex.org/W2029625042","https://openalex.org/W4248476017","https://openalex.org/W2807741550","https://openalex.org/W2970426051","https://openalex.org/W1994341438","https://openalex.org/W4200547882","https://openalex.org/W1447961680"],"abstract_inverted_index":{"Given":[0],"a":[1,7,38],"family":[2,18],"$\\mathcal{F}$":[3],"of":[4,6,19,27,36],"subsets":[5,20],"ground":[8],"set":[9],"V,":[10],"its":[11],"orthogonal":[12],"is":[13],"defined":[14],"to":[15],"be":[16],"the":[17,34],"that":[21],"do":[22],"not":[23],"overlap":[24],"any":[25],"element":[26],"$\\mathcal{F}$.":[28],"Using":[29],"this":[30],"tool":[31],"we":[32],"revisit":[33],"problem":[35],"designing":[37],"simple":[39],"linear":[40],"time":[41],"algorithm":[42],"for":[43],"undirected":[44],"graph":[45],"split":[46],"(also":[47],"known":[48],"as":[49],"1-join)":[50],"decomposition.":[51]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
