{"id":"https://openalex.org/W2077973426","doi":"https://doi.org/10.1007/s13173-011-0040-8","title":"Complexity separating classes for edge-colouring and total-colouring","display_name":"Complexity separating classes for edge-colouring and total-colouring","publication_year":2011,"publication_date":"2011-09-26","ids":{"openalex":"https://openalex.org/W2077973426","doi":"https://doi.org/10.1007/s13173-011-0040-8","mag":"2077973426"},"language":"en","primary_location":{"id":"doi:10.1007/s13173-011-0040-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13173-011-0040-8","pdf_url":"https://journal-bcs.springeropen.com/counter/pdf/10.1007/s13173-011-0040-8","source":{"id":"https://openalex.org/S69801987","display_name":"Journal of the Brazilian Computer Society","issn_l":"0104-6500","issn":["0104-6500","1678-4804"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Brazilian Computer Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://journal-bcs.springeropen.com/counter/pdf/10.1007/s13173-011-0040-8","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036855105","display_name":"Raphael C. S. Machado","orcid":"https://orcid.org/0000-0003-3339-9735"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]},{"id":"https://openalex.org/I40891861","display_name":"Instituto Nacional de Metrologia, Qualidade e Tecnologia","ror":"https://ror.org/01f8vhd41","country_code":"BR","type":"government","lineage":["https://openalex.org/I2801200668","https://openalex.org/I2802647933","https://openalex.org/I40891861"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Raphael Machado","raw_affiliation_strings":["Instituto Nacional de Metrologia, Qualidade e Tecnologia (Inmetro), COPPE\u2014Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto Nacional de Metrologia, Qualidade e Tecnologia (Inmetro), COPPE\u2014Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I40891861","https://openalex.org/I122140584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032868379","display_name":"Celina M.H. de Figueiredo","orcid":"https://orcid.org/0000-0002-6393-0876"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]},{"id":"https://openalex.org/I40891861","display_name":"Instituto Nacional de Metrologia, Qualidade e Tecnologia","ror":"https://ror.org/01f8vhd41","country_code":"BR","type":"government","lineage":["https://openalex.org/I2801200668","https://openalex.org/I2802647933","https://openalex.org/I40891861"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Celina de Figueiredo","raw_affiliation_strings":["Instituto Nacional de Metrologia, Qualidade e Tecnologia (Inmetro), COPPE\u2014Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto Nacional de Metrologia, Qualidade e Tecnologia (Inmetro), COPPE\u2014Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I40891861","https://openalex.org/I122140584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036855105"],"corresponding_institution_ids":["https://openalex.org/I122140584","https://openalex.org/I40891861"],"apc_list":null,"apc_paid":null,"fwci":0.6522,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.70773062,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"17","issue":"4","first_page":"281","last_page":"285"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.998199999332428,"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/bipartite-graph","display_name":"Bipartite graph","score":0.7977539896965027},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6791625022888184},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5906371474266052},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5148881673812866},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5093816518783569},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5081214904785156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4171541631221771},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3989185690879822},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08988723158836365}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7977539896965027},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6791625022888184},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5906371474266052},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5148881673812866},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5093816518783569},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5081214904785156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4171541631221771},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3989185690879822},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08988723158836365}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s13173-011-0040-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13173-011-0040-8","pdf_url":"https://journal-bcs.springeropen.com/counter/pdf/10.1007/s13173-011-0040-8","source":{"id":"https://openalex.org/S69801987","display_name":"Journal of the Brazilian Computer Society","issn_l":"0104-6500","issn":["0104-6500","1678-4804"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Brazilian Computer Society","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s13173-011-0040-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13173-011-0040-8","pdf_url":"https://journal-bcs.springeropen.com/counter/pdf/10.1007/s13173-011-0040-8","source":{"id":"https://openalex.org/S69801987","display_name":"Journal of the Brazilian Computer Society","issn_l":"0104-6500","issn":["0104-6500","1678-4804"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Brazilian Computer Society","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2077973426.pdf","grobid_xml":"https://content.openalex.org/works/W2077973426.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1963612445","https://openalex.org/W1966769222","https://openalex.org/W1980409271","https://openalex.org/W1995705069","https://openalex.org/W1999082207","https://openalex.org/W2043759134","https://openalex.org/W2081938755","https://openalex.org/W2148043549","https://openalex.org/W2148759423","https://openalex.org/W2180784125","https://openalex.org/W2952096650","https://openalex.org/W4232336108","https://openalex.org/W4299363239","https://openalex.org/W4361867857"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2372768926","https://openalex.org/W2999799752","https://openalex.org/W2567825307","https://openalex.org/W2054458431","https://openalex.org/W2115167491","https://openalex.org/W2799161558"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"class":[2,85,94],"of":[3,12,50,53,67,78,86],"unichord-free":[4,68,88,107],"graphs":[5,108],"was":[6],"recently":[7],"investigated":[8],"in":[9,17,26,34,65],"a":[10,90],"series":[11],"papers":[13],"(Machado":[14],"et":[15],"al.":[16],"Theor.":[18],"Comput.":[19],"Sci.":[20],"411:1221\u20131234,":[21],"2010;":[22],"Machado,":[23],"de":[24],"Figueiredo":[25],"Discrete":[27],"Appl.":[28],"Math.":[29],"159:1851\u20131864,":[30],"2011;":[31],"Trotignon,":[32],"Vu\u0161kovi\u0107":[33],"J.":[35],"Graph":[36],"Theory":[37],"63:31\u201367,":[38],"2010)":[39],"and":[40,81,99],"proved":[41],"to":[42,47,97],"be":[43,63],"useful":[44],"with":[45,95],"respect":[46,96],"the":[48,51,76,84],"study":[49],"complexity":[52,60],"colouring":[54],"problems.":[55],"In":[56],"particular,":[57],"several":[58],"surprising":[59],"dichotomies":[61],"could":[62],"found":[64],"subclasses":[66],"graphs.":[69],"We":[70],"discuss":[71],"such":[72],"results":[73],"based":[74],"on":[75],"concept":[77],"\u201cseparating":[79],"class\u201d":[80],"we":[82],"describe":[83],"bipartite":[87,106],"as":[89],"final":[91],"missing":[92],"separating":[93],"edge-colouring":[98],"total-colouring":[100,105],"problems,":[101],"by":[102],"proving":[103],"that":[104],"is":[109],"NP-complete.":[110]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}