{"id":"https://openalex.org/W1991477862","doi":"https://doi.org/10.1137/0213035","title":"Simple Linear-Time Algorithms to Test Chordality of Graphs, Test Acyclicity of Hypergraphs, and Selectively Reduce Acyclic Hypergraphs","display_name":"Simple Linear-Time Algorithms to Test Chordality of Graphs, Test Acyclicity of Hypergraphs, and Selectively Reduce Acyclic Hypergraphs","publication_year":1984,"publication_date":"1984-08-01","ids":{"openalex":"https://openalex.org/W1991477862","doi":"https://doi.org/10.1137/0213035","mag":"1991477862"},"language":"en","primary_location":{"id":"doi:10.1137/0213035","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0213035","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":["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/A5051027549","display_name":"Robert E. Tarjan","orcid":"https://orcid.org/0000-0001-7505-5768"},"institutions":[{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert E. Tarjan","raw_affiliation_strings":["Bell Laboratories Murray Hill NJ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Laboratories Murray Hill NJ","institution_ids":["https://openalex.org/I72090969"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043084405","display_name":"Mihalis Yannakakis","orcid":"https://orcid.org/0000-0003-2857-1860"},"institutions":[{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mihalis Yannakakis","raw_affiliation_strings":["Bell Laboratories Murray Hill NJ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Laboratories Murray Hill NJ","institution_ids":["https://openalex.org/I72090969"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051027549"],"corresponding_institution_ids":["https://openalex.org/I72090969"],"apc_list":null,"apc_paid":null,"fwci":21.2238,"has_fulltext":false,"cited_by_count":1058,"citation_normalized_percentile":{"value":0.99909991,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"13","issue":"3","first_page":"566","last_page":"579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/hypergraph","display_name":"Hypergraph","score":0.8986815214157104},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.696024477481842},{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.6243579387664795},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6176799535751343},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.5343472361564636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5186902284622192},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4846075475215912},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.46243584156036377},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4608911871910095},{"id":"https://openalex.org/keywords/gaussian-elimination","display_name":"Gaussian elimination","score":0.41470232605934143},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3949240446090698},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.36741483211517334},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.34344711899757385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30692940950393677}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8986815214157104},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.696024477481842},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.6243579387664795},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6176799535751343},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.5343472361564636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5186902284622192},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4846075475215912},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.46243584156036377},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4608911871910095},{"id":"https://openalex.org/C126312332","wikidata":"https://www.wikidata.org/wiki/Q2658","display_name":"Gaussian elimination","level":3,"score":0.41470232605934143},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3949240446090698},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.36741483211517334},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.34344711899757385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30692940950393677},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0213035","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0213035","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W61319029","https://openalex.org/W1484523725","https://openalex.org/W1511161972","https://openalex.org/W1530753374","https://openalex.org/W2035331304","https://openalex.org/W2037106315","https://openalex.org/W2039610696","https://openalex.org/W2046649829","https://openalex.org/W2075198446","https://openalex.org/W2086119402","https://openalex.org/W2089465933","https://openalex.org/W2103953153","https://openalex.org/W2107782661","https://openalex.org/W2148417962"],"related_works":["https://openalex.org/W4376608589","https://openalex.org/W3138003926","https://openalex.org/W4300037846","https://openalex.org/W1630514295","https://openalex.org/W1537073411","https://openalex.org/W2963081352","https://openalex.org/W2513338072","https://openalex.org/W4283800460","https://openalex.org/W3176225471","https://openalex.org/W1890233125"],"abstract_inverted_index":{"Chordal":[0],"graphs":[1],"arise":[2,16],"naturally":[3],"in":[4,17,107],"the":[5,18,91],"study":[6,19],"of":[7,20,77,90],"Gaussian":[8],"elimination":[9],"on":[10],"sparse":[11],"symmetric":[12],"matrices;":[13],"acyclic":[14,99,108],"hypergraphs":[15],"relational":[21,109],"data":[22,110],"bases.":[23,111],"Rose,":[24],"Tarjan":[25],"and":[26,68],"Lueker":[27],"[SIAM":[28],"J.":[29],"Comput.,":[30],"5":[31],"(1976),":[32],"pp.":[33],"266\u2013283]":[34],"have":[35],"given":[36],"a":[37,43,54,61,74,94],"linear-time":[38,63],"algorithm":[39],"to":[40,51,96],"test":[41,52,64,72],"whether":[42,53],"graph":[44,66,78],"is":[45,56,102],"chordal,":[46],"which":[47,82,101],"Yannakakis":[48],"has":[49],"modified":[50],"hypergraph":[55,69],"acyclic.":[57],"Here":[58],"we":[59,83],"develop":[60],"simplified":[62],"for":[65,104],"chordality":[67],"acyclicity.":[70],"The":[71],"uses":[73],"new":[75],"kind":[76],"(and":[79],"hypergraph)":[80],"search,":[81],"call":[84],"maximum":[85],"cardinality":[86],"search":[87],"A":[88],"variant":[89],"method":[92],"gives":[93],"way":[95],"selectively":[97],"reduce":[98],"hypergraphs,":[100],"needed":[103],"evaluating":[105],"queries":[106]},"counts_by_year":[{"year":2026,"cited_by_count":10},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":51},{"year":2020,"cited_by_count":22},{"year":2019,"cited_by_count":36},{"year":2018,"cited_by_count":21},{"year":2017,"cited_by_count":31},{"year":2016,"cited_by_count":25},{"year":2015,"cited_by_count":39},{"year":2014,"cited_by_count":39},{"year":2013,"cited_by_count":51},{"year":2012,"cited_by_count":40}],"updated_date":"2026-05-12T08:28:47.272897","created_date":"2025-10-10T00:00:00"}
