{"id":"https://openalex.org/W2051772490","doi":"https://doi.org/10.1137/0406023","title":"Triangulating Three-Colored Graphs in Linear Time and Linear Space","display_name":"Triangulating Three-Colored Graphs in Linear Time and Linear Space","publication_year":1993,"publication_date":"1993-05-01","ids":{"openalex":"https://openalex.org/W2051772490","doi":"https://doi.org/10.1137/0406023","mag":"2051772490"},"language":"en","primary_location":{"id":"doi:10.1137/0406023","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0406023","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076387819","display_name":"Ramana M. Idury","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ramana M. Idury","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000317216","display_name":"Alejandro A. Sch\u00e4ffer","orcid":"https://orcid.org/0000-0002-2147-8033"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alejandro A. Sch\u00e4ffer","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076387819"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.593,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.96190702,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"6","issue":"2","first_page":"289","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9941999912261963,"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":0.9941999912261963,"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/T10222","display_name":"Genomics and Chromatin Dynamics","score":0.9671000242233276,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.944599986076355,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.8798521757125854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7745623588562012},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6392301321029663},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.536724328994751},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4528123736381531},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4518716335296631},{"id":"https://openalex.org/keywords/linear-space","display_name":"Linear space","score":0.4511597752571106},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.43209707736968994},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4242579936981201},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15432408452033997}],"concepts":[{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.8798521757125854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7745623588562012},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6392301321029663},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.536724328994751},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4528123736381531},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4518716335296631},{"id":"https://openalex.org/C176370821","wikidata":"https://www.wikidata.org/wiki/Q1826459","display_name":"Linear space","level":2,"score":0.4511597752571106},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.43209707736968994},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4242579936981201},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15432408452033997},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0406023","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0406023","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W193938304","https://openalex.org/W1587012825","https://openalex.org/W1655990431","https://openalex.org/W2097374444","https://openalex.org/W2159596482","https://openalex.org/W2320198223"],"related_works":["https://openalex.org/W1606013690","https://openalex.org/W4293743430","https://openalex.org/W2040444410","https://openalex.org/W3006156235","https://openalex.org/W20680012","https://openalex.org/W1629505938","https://openalex.org/W2910134461","https://openalex.org/W2748423797","https://openalex.org/W2949628502","https://openalex.org/W2537252502"],"abstract_inverted_index":{"Kannan":[0,53,93],"and":[1,12,54,86,94,106],"Warnow":[2,55],"[Triangulating":[3],"Three-Colored":[4],"Graphs,":[5],"Proc.":[6],"2nd":[7],"SODA,":[8],"1991,":[9],"pp.":[10,19],"337\u2013343":[11],"SIAM":[13],"J.":[14],"Discrete":[15],"Math.,":[16],"5":[17],"(1992),":[18],"249\u2013258]":[20],"describe":[21],"an":[22,99],"algorithm":[23,96,100],"to":[24,91,97],"decide":[25],"whether":[26],"a":[27,48],"three-colored":[28,80],"graph":[29],"can":[30],"be":[31],"triangulated":[32],"so":[33],"that":[34,79,101],"all":[35],"the":[36,69],"edges":[37],"connect":[38],"vertices":[39],"of":[40],"different":[41],"colors.":[42],"This":[43],"problem":[44,49],"is":[45],"motivated":[46],"by":[47],"in":[50],"evolutionary":[51],"biology.":[52],"have":[56],"two":[57],"implementation":[58],"strategies":[59],"for":[60],"their":[61],"algorithm:":[62],"one":[63],"uses":[64,71,102],"slightly":[65],"superlinear":[66],"time,":[67],"while":[68],"other":[70],"linear":[72,104,107],"time":[73,105],"but":[74],"quadratic":[75],"space.":[76,108],"We":[77],"note":[78],"triangulatable":[81],"graphs":[82],"are":[83],"always":[84],"planar,":[85],"we":[87],"use":[88],"this":[89],"fact":[90],"modify":[92],"Warnow\u2019s":[95],"obtain":[98],"both":[103]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}