{"id":"https://openalex.org/W2031149108","doi":"https://doi.org/10.1137/s089548019631030x","title":"On-Line 3-Chromatic Graphs I. Triangle-Free Graphs","display_name":"On-Line 3-Chromatic Graphs I. Triangle-Free Graphs","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2031149108","doi":"https://doi.org/10.1137/s089548019631030x","mag":"2031149108"},"language":"en","primary_location":{"id":"doi:10.1137/s089548019631030x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s089548019631030x","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/A5020847160","display_name":"Andr\u00e1s Gy\u00e1rf\u00e1s","orcid":"https://orcid.org/0000-0001-6173-1008"},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Andr\u00e1s Gy\u00e1rf\u00e1s","raw_affiliation_strings":["Hungarian Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hungarian Academy of Sciences","institution_ids":["https://openalex.org/I7597260"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090547771","display_name":"Zolt\u00e1n Kir\u00e1ly","orcid":"https://orcid.org/0000-0002-9815-5793"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zolt\u00e1n Kir\u00e1ly","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089439989","display_name":"Jen\u0151 Lehel","orcid":"https://orcid.org/0000-0003-4249-1082"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jeno Lehel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.16617925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"12","issue":"3","first_page":"385","last_page":"411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T12288","display_name":"Optimization and Search Problems","score":0.9930999875068665,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9918000102043152,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8113152384757996},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7448846101760864},{"id":"https://openalex.org/keywords/strong-perfect-graph-theorem","display_name":"Strong perfect graph theorem","score":0.7294053435325623},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7116444110870361},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.602215588092804},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.592656672000885},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.5723430514335632},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.5240352749824524},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5166828632354736},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.49587592482566833},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4835100471973419},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.4760805666446686},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.38793081045150757},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.38705211877822876},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.17962020635604858}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8113152384757996},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7448846101760864},{"id":"https://openalex.org/C51044901","wikidata":"https://www.wikidata.org/wiki/Q16680059","display_name":"Strong perfect graph theorem","level":5,"score":0.7294053435325623},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7116444110870361},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.602215588092804},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.592656672000885},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.5723430514335632},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.5240352749824524},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5166828632354736},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.49587592482566833},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4835100471973419},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.4760805666446686},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.38793081045150757},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.38705211877822876},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.17962020635604858},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s089548019631030x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s089548019631030x","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:CiteSeerX.psu:10.1.1.23.1813","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.1813","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.elte.hu/phd_th/kiraly/I.ps.gz","raw_type":"text"},{"id":"pmh:oai:eprints.sztaki.hu:1993","is_oa":false,"landing_page_url":"http://eprints.sztaki.hu/1993/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1983054380","https://openalex.org/W1987042917","https://openalex.org/W1995855402","https://openalex.org/W2005668212","https://openalex.org/W2012000897","https://openalex.org/W2047840455","https://openalex.org/W2084263468","https://openalex.org/W2087978044","https://openalex.org/W2130271612","https://openalex.org/W2148102331","https://openalex.org/W2166858292","https://openalex.org/W2170823181"],"related_works":["https://openalex.org/W3130332934","https://openalex.org/W2625505879","https://openalex.org/W2031276298","https://openalex.org/W2061237693","https://openalex.org/W603403972","https://openalex.org/W1977862280","https://openalex.org/W1919313975","https://openalex.org/W2083238533","https://openalex.org/W1994311645","https://openalex.org/W2032987509"],"abstract_inverted_index":{"This":[0,63],"is":[1,35,54,179],"the":[2,38,67,80,85,106,119,147,158,176],"first":[3],"half":[4],"of":[5,25,40,51,87,94,110,141,162],"a":[6,22,58,102,182],"two-part":[7],"paper":[8,143,149],"devoted":[9],"to":[10,156],"on-line":[11,15,73,95,111,124,129,137,164,190],"3-colorable":[12,16,96,112,165],"graphs.":[13,114,192],"Here":[14],"triangle-free":[17,97,177],"graphs":[18,41,98,166],"are":[19,43,99,123,128,136,144,187],"characterized":[20],"by":[21,37,56],"finite":[23,120,159,183],"list":[24],"forbidden":[26,92,108,116],"induced":[27,134],"subgraphs.":[28],"The":[29,115,139],"key":[30],"role":[31],"in":[32,71,118,146,181],"our":[33],"approach":[34],"played":[36],"family":[39,53],"which":[42],"both":[44],"triangle-":[45],"and":[46],"(2K2":[47],"+":[48],"K1)-free.":[49],"Characterization":[50],"this":[52,77,88,142],"given":[55],"introducing":[57],"bipartite":[59,113],"modular":[60],"decomposition":[61],"concept.":[62],"decomposition,":[64],"combined":[65],"with":[66],"greedy":[68],"algorithm,":[69],"culminates":[70],"an":[72],"3-coloring":[74],"algorithm":[75],"for":[76],"family.":[78],"On":[79],"other":[81],"hand,":[82],"based":[83],"on":[84],"characterization":[86,122,161],"family,":[89],"all":[90],"22":[91],"subgraphs":[93,109,117,135],"determined.":[100],"As":[101],"corollary,":[103],"we":[104],"obtain":[105,157],"10":[107],"basis":[121,160,184],"4-critical,":[125],"i.e.,":[126],"they":[127],"4-chromatic":[130],"but":[131],"their":[132],"proper":[133],"3-colorable.":[138],"results":[140],"applied":[145],"companion":[148],"[Discrete":[150],"Math.,":[151],"177":[152],"(1997),":[153],"pp.":[154],"99--122]":[155],"connected":[163],"(with":[167],"51":[168],"4-critical":[169,191],"subgraphs).":[170],"However,":[171],"perhaps":[172],"surprisingly,":[173],"connectivity":[174],"(or":[175],"property)":[178],"essential":[180],"characterization:":[185],"there":[186],"infinitely":[188],"many":[189]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
