{"id":"https://openalex.org/W2039800402","doi":"https://doi.org/10.1051/ita/2015001","title":"Computing the 2-blocks of directed graphs","display_name":"Computing the 2-blocks of directed graphs","publication_year":2015,"publication_date":"2015-04-01","ids":{"openalex":"https://openalex.org/W2039800402","doi":"https://doi.org/10.1051/ita/2015001","mag":"2039800402"},"language":"en","primary_location":{"id":"doi:10.1051/ita/2015001","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita/2015001","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1407.6178","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005881494","display_name":"Raed Jaberi","orcid":null},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Raed Jaberi","raw_affiliation_strings":["Faculty of Computer Science and Automation, Teschnische Universit\u00e4t Ilmenau, 98693 Ilmenau, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Automation, Teschnische Universit\u00e4t Ilmenau, 98693 Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005881494"],"corresponding_institution_ids":["https://openalex.org/I119449181"],"apc_list":null,"apc_paid":null,"fwci":0.7277,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74087083,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"49","issue":"2","first_page":"93","last_page":"119"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8311614990234375},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6870101690292358},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.572880744934082},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5575084090232849},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.5474238991737366},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5354753732681274},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5353555679321289},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.4413600265979767},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35991430282592773}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8311614990234375},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6870101690292358},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.572880744934082},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5575084090232849},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.5474238991737366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5354753732681274},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5353555679321289},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.4413600265979767},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35991430282592773}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1051/ita/2015001","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita/2015001","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1407.6178","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.6178","pdf_url":"https://arxiv.org/pdf/1407.6178","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:numdam.org:ITA_2015__49_2_93_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ita/2015001/","pdf_url":"https://www.numdam.org/item/10.1051/ita/2015001.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"mag:2039800402","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1407.6178","pdf_url":null,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1407.6178","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1407.6178","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1407.6178","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.6178","pdf_url":"https://arxiv.org/pdf/1407.6178","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W179691814","https://openalex.org/W1773631242","https://openalex.org/W1811642211","https://openalex.org/W1951501494","https://openalex.org/W1973310391","https://openalex.org/W1985245264","https://openalex.org/W2003197223","https://openalex.org/W2011039300","https://openalex.org/W2011379509","https://openalex.org/W2020856645","https://openalex.org/W2051699458","https://openalex.org/W2054897957","https://openalex.org/W2092576944","https://openalex.org/W2105255931","https://openalex.org/W2118382442","https://openalex.org/W2134875769","https://openalex.org/W2147133278","https://openalex.org/W2165901913","https://openalex.org/W2949209817","https://openalex.org/W2951746419","https://openalex.org/W2953345679","https://openalex.org/W4244148219","https://openalex.org/W4247251578"],"related_works":["https://openalex.org/W2063734883","https://openalex.org/W2793344641","https://openalex.org/W132858928","https://openalex.org/W3192798995","https://openalex.org/W2067121839","https://openalex.org/W2040426893","https://openalex.org/W1490819659","https://openalex.org/W1591685386","https://openalex.org/W2557495118","https://openalex.org/W3197744767","https://openalex.org/W2951305063","https://openalex.org/W2039785910","https://openalex.org/W2758158143","https://openalex.org/W3167580896","https://openalex.org/W1987231037","https://openalex.org/W2237042699","https://openalex.org/W2213271690","https://openalex.org/W2786830943","https://openalex.org/W1620273976","https://openalex.org/W2085702149"],"abstract_inverted_index":{"Let":[0],"G":[1,10,69,90,127,141,179,196,204],"be":[2,143],"a":[3,12,171,175,186,218,237,248],"directed":[4,172],"graph.":[5,173],"A":[6],"2-directed":[7,66],"block":[8],"in":[9,54,70,128,145,247],"is":[11,81,93,217],"maximal":[13],"vertex":[14],"set":[15],"C2d":[16,21],"\u2286":[17],"V":[18],"with":[19,206,243],"|":[20,22],"\u2265":[23],"2":[24],"such":[25,197],"that":[26,136,198,215],"for":[27,63,121,226,257],"each":[28],"pair":[29],"of":[30,68,84,89,96,100,115,126,140,170,195,203,211,235,260,267],"distinct":[31],"vertices":[32],"x,":[33],"y":[34,45,51],"\u2208":[35],"C2d,":[36],"there":[37,216],"exist":[38],"two":[39,47,61,105,119],"vertex-disjoint":[40,48],"paths":[41,49],"from":[42,50],"x":[43,53],"to":[44,52,162,184],"and":[46,91,111,133,167],"G.":[55,101,116,252],"In":[56,152],"this":[57,153,227,261],"paper":[58,154],"we":[59,103,134,155,182],"present":[60,254],"algorithms":[62,120,256],"computing":[64,122],"the":[65,82,85,94,97,108,112,123,137,163,168,199,207,233,244,265],"blocks":[67,110,114,125,139],"O(min":[71,129,146],"{":[72,147],"m,(tsap":[73],"+":[74],"tsb)n":[75],"}":[76,149],"n)":[77,131,150],"time,":[78],"where":[79],"tsap":[80],"number":[83,95],"strong":[86,98,164,200,208],"articulation":[87,165,201,209],"points":[88,166,202,210],"tsb":[92],"bridges":[99],"Furthermore,":[102],"study":[104,157],"related":[106,161],"concepts:":[107],"2-strong":[109,124],"2-edge":[113,138],"We":[117,213,230,253],"give":[118],"{m,tsapn}":[130],"time":[132,220],"show":[135,214],"can":[142],"computed":[144],"m,tsbn":[148],"time.":[151],"also":[156,231],"some":[158],"optimization":[159],"problems":[160],"2-blocks":[169,246],"Given":[174],"strongly":[176,188,239,249],"connected":[177,189,240,250],"graph":[178,251],"=":[180,193],"(V,E),":[181],"want":[183],"find":[185],"minimum":[187,238],"spanning":[190,241],"subgraph":[191,242],"G\u2217":[192],"(V,E\u2217)":[194],"coincide":[205],"G\u2217.":[212],"linear":[219],"17":[221],"/":[222],"3":[223],"approximation":[224,255],"algorithm":[225],"NP-hard":[228],"problem.":[229],"consider":[232],"problem":[234],"finding":[236],"same":[245],"three":[258],"versions":[259],"problem,":[262],"depending":[263],"on":[264],"type":[266],"2-blocks.":[268]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
