{"id":"https://openalex.org/W2958705203","doi":"https://doi.org/10.1016/j.cor.2019.07.004","title":"A new formulation for the Safe Set problem on graphs","display_name":"A new formulation for the Safe Set problem on graphs","publication_year":2019,"publication_date":"2019-07-17","ids":{"openalex":"https://openalex.org/W2958705203","doi":"https://doi.org/10.1016/j.cor.2019.07.004","mag":"2958705203"},"language":"en","primary_location":{"id":"doi:10.1016/j.cor.2019.07.004","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cor.2019.07.004","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Operations Research","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/A5005740112","display_name":"Ana Fl\u00e1via Uz\u00eada dos Santos Macambira","orcid":"https://orcid.org/0000-0002-1590-8113"},"institutions":[{"id":"https://openalex.org/I169045520","display_name":"Universidade Federal da Para\u00edba","ror":"https://ror.org/00p9vpz11","country_code":"BR","type":"education","lineage":["https://openalex.org/I169045520"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Ana Flavia Uzeda Macambira","raw_affiliation_strings":["Universidade Federal da Para\u00edba, Departamento de Estat\u00edstica, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade Federal da Para\u00edba, Departamento de Estat\u00edstica, Brazil","institution_ids":["https://openalex.org/I169045520"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091887801","display_name":"Luidi Simonetti","orcid":"https://orcid.org/0000-0001-8273-9439"},"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"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Luidi Simonetti","raw_affiliation_strings":["Programa de Engenharia de Sistemas e Computa\u00e7\u00e3o, Universidade Federal do Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Programa de Engenharia de Sistemas e Computa\u00e7\u00e3o, Universidade Federal do Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057914449","display_name":"Hugo Barbalho","orcid":"https://orcid.org/0000-0002-8544-0181"},"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"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Hugo Barbalho","raw_affiliation_strings":["Programa de Engenharia de Sistemas e Computa\u00e7\u00e3o, Universidade Federal do Rio de Janeiro, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-8544-0181","affiliations":[{"raw_affiliation_string":"Programa de Engenharia de Sistemas e Computa\u00e7\u00e3o, Universidade Federal do Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009607086","display_name":"Pedro Henrique Gonz\u00e1lez","orcid":"https://orcid.org/0000-0003-0057-7670"},"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/I158509141","display_name":"Federal Center for Technological Education Celso Suckow da Fonseca","ror":"https://ror.org/03j8tnm47","country_code":"BR","type":"education","lineage":["https://openalex.org/I1293487690","https://openalex.org/I158509141","https://openalex.org/I2801200668"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Pedro Henrique Gonzalez","raw_affiliation_strings":["Departamento de Inform\u00e1tica, Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica Celso Suckow da Fonseca, Rio de Janeiro, Brazil","Programa de Engenharia de Sistemas e Computa\u00e7\u00e3o, Universidade Federal do Rio de Janeiro, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-0057-7670","affiliations":[{"raw_affiliation_string":"Departamento de Inform\u00e1tica, Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica Celso Suckow da Fonseca, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I158509141"]},{"raw_affiliation_string":"Programa de Engenharia de Sistemas e Computa\u00e7\u00e3o, Universidade Federal do Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091887230","display_name":"Nelson Maculan","orcid":"https://orcid.org/0000-0002-3897-3356"},"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"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Nelson Maculan","raw_affiliation_strings":["Programa de Engenharia de Sistemas e Computa\u00e7\u00e3o, Universidade Federal do Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Programa de Engenharia de Sistemas e Computa\u00e7\u00e3o, Universidade Federal do Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005740112"],"corresponding_institution_ids":["https://openalex.org/I169045520"],"apc_list":{"value":3210,"currency":"USD","value_usd":3210},"apc_paid":null,"fwci":1.0663,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81779575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"111","issue":null,"first_page":"346","last_page":"356"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9660999774932861,"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":0.8010626435279846},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7377886772155762},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6957280039787292},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5128903388977051},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.4723171889781952},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4543513357639313},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.43143025040626526},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.42956048250198364},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.41240236163139343},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1636483073234558}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8010626435279846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7377886772155762},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6957280039787292},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5128903388977051},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.4723171889781952},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4543513357639313},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.43143025040626526},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42956048250198364},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.41240236163139343},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1636483073234558},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cor.2019.07.004","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cor.2019.07.004","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1144958138","display_name":null,"funder_award_id":"303496/2017-7","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G7609337412","display_name":null,"funder_award_id":"140957/2014-6","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G8493982566","display_name":null,"funder_award_id":"302578/2014-5","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W131619556","https://openalex.org/W2017927472","https://openalex.org/W2124185518","https://openalex.org/W2144456661","https://openalex.org/W2163819498","https://openalex.org/W2294347342","https://openalex.org/W2477185620","https://openalex.org/W2499811908","https://openalex.org/W2535402894","https://openalex.org/W2797680869","https://openalex.org/W2919529806","https://openalex.org/W4391578263","https://openalex.org/W6697195335","https://openalex.org/W6760156843"],"related_works":["https://openalex.org/W2052299349","https://openalex.org/W1901944325","https://openalex.org/W4297728441","https://openalex.org/W2187824534","https://openalex.org/W2148720069","https://openalex.org/W2011937444","https://openalex.org/W2790637388","https://openalex.org/W2949732571","https://openalex.org/W2460394128","https://openalex.org/W2037935057"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
