{"id":"https://openalex.org/W2173656554","doi":"https://doi.org/10.1007/s00453-013-9811-2","title":"The Feedback Arc Set Problem with Triangle Inequality Is a Vertex Cover Problem","display_name":"The Feedback Arc Set Problem with Triangle Inequality Is a Vertex Cover Problem","publication_year":2013,"publication_date":"2013-07-12","ids":{"openalex":"https://openalex.org/W2173656554","doi":"https://doi.org/10.1007/s00453-013-9811-2","mag":"2173656554"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-013-9811-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-013-9811-2","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","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/A5053978143","display_name":"Monaldo Mastrolilli","orcid":"https://orcid.org/0000-0002-2948-9749"},"institutions":[{"id":"https://openalex.org/I2614128279","display_name":"Dalle Molle Institute for Artificial Intelligence Research","ror":"https://ror.org/013355g38","country_code":"CH","type":"facility","lineage":["https://openalex.org/I15196421","https://openalex.org/I2614128279","https://openalex.org/I57201433"]},{"id":"https://openalex.org/I15196421","display_name":"University of Applied Sciences and Arts of Southern Switzerland","ror":"https://ror.org/05ep8g269","country_code":"CH","type":"education","lineage":["https://openalex.org/I15196421"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Monaldo Mastrolilli","raw_affiliation_strings":["IDSIA, USI-SUPSI, Lugano, Switzerland"],"affiliations":[{"raw_affiliation_string":"IDSIA, USI-SUPSI, Lugano, Switzerland","institution_ids":["https://openalex.org/I2614128279","https://openalex.org/I15196421"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053978143"],"corresponding_institution_ids":["https://openalex.org/I15196421","https://openalex.org/I2614128279"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.16343145,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"70","issue":"2","first_page":"326","last_page":"339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9959999918937683,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9959999918937683,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/vertex-cover","display_name":"Vertex cover","score":0.8033504486083984},{"id":"https://openalex.org/keywords/feedback-vertex-set","display_name":"Feedback vertex set","score":0.7352221012115479},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6967876553535461},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6757052540779114},{"id":"https://openalex.org/keywords/edge-cover","display_name":"Edge cover","score":0.6635241508483887},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6452102661132812},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6193662881851196},{"id":"https://openalex.org/keywords/triangle-inequality","display_name":"Triangle inequality","score":0.6093968152999878},{"id":"https://openalex.org/keywords/set-cover-problem","display_name":"Set cover problem","score":0.5944643616676331},{"id":"https://openalex.org/keywords/feedback-arc-set","display_name":"Feedback arc set","score":0.5724788904190063},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.5709187388420105},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.47442904114723206},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4517601430416107},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.42512571811676025},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4049789309501648},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39709264039993286},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2228253185749054},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19984379410743713},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11900350451469421}],"concepts":[{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.8033504486083984},{"id":"https://openalex.org/C28723256","wikidata":"https://www.wikidata.org/wiki/Q1400918","display_name":"Feedback vertex set","level":4,"score":0.7352221012115479},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6967876553535461},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6757052540779114},{"id":"https://openalex.org/C17762858","wikidata":"https://www.wikidata.org/wiki/Q594001","display_name":"Edge cover","level":3,"score":0.6635241508483887},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6452102661132812},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6193662881851196},{"id":"https://openalex.org/C182964748","wikidata":"https://www.wikidata.org/wiki/Q208216","display_name":"Triangle inequality","level":2,"score":0.6093968152999878},{"id":"https://openalex.org/C100808899","wikidata":"https://www.wikidata.org/wiki/Q1192100","display_name":"Set cover problem","level":3,"score":0.5944643616676331},{"id":"https://openalex.org/C157951044","wikidata":"https://www.wikidata.org/wiki/Q1400910","display_name":"Feedback arc set","level":5,"score":0.5724788904190063},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.5709187388420105},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.47442904114723206},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4517601430416107},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.42512571811676025},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4049789309501648},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39709264039993286},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2228253185749054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19984379410743713},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11900350451469421},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"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:10.1007/s00453-013-9811-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-013-9811-2","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W5833057","https://openalex.org/W964861289","https://openalex.org/W1481999670","https://openalex.org/W1486993561","https://openalex.org/W1496117300","https://openalex.org/W1515077583","https://openalex.org/W1603384057","https://openalex.org/W1969443695","https://openalex.org/W1982119153","https://openalex.org/W1986978101","https://openalex.org/W1999657075","https://openalex.org/W2006905044","https://openalex.org/W2038987739","https://openalex.org/W2040831377","https://openalex.org/W2043520568","https://openalex.org/W2056590617","https://openalex.org/W2058023231","https://openalex.org/W2063241141","https://openalex.org/W2066723908","https://openalex.org/W2070745908","https://openalex.org/W2071234528","https://openalex.org/W2091858563","https://openalex.org/W2093392878","https://openalex.org/W2103649698","https://openalex.org/W2134422938","https://openalex.org/W2140566134","https://openalex.org/W2143928137","https://openalex.org/W2145075017","https://openalex.org/W2148204686","https://openalex.org/W2152490496","https://openalex.org/W2163626560","https://openalex.org/W2171103562","https://openalex.org/W2260474806","https://openalex.org/W2401610261","https://openalex.org/W2404174078","https://openalex.org/W2576116471","https://openalex.org/W2611804663","https://openalex.org/W4250886557","https://openalex.org/W4285719527","https://openalex.org/W4319782100","https://openalex.org/W6601616117","https://openalex.org/W6818618282"],"related_works":["https://openalex.org/W2079730540","https://openalex.org/W41549461","https://openalex.org/W1558145674","https://openalex.org/W2551034790","https://openalex.org/W2116388786","https://openalex.org/W4302317037","https://openalex.org/W2173656554","https://openalex.org/W2178856181","https://openalex.org/W2963350429","https://openalex.org/W2161379920"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
