{"id":"https://openalex.org/W4403424979","doi":"https://doi.org/10.1007/s10878-024-01209-8","title":"Efficient heuristics to compute minimal and stable feedback arc sets","display_name":"Efficient heuristics to compute minimal and stable feedback arc sets","publication_year":2024,"publication_date":"2024-10-15","ids":{"openalex":"https://openalex.org/W4403424979","doi":"https://doi.org/10.1007/s10878-024-01209-8"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-024-01209-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10878-024-01209-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10878-024-01209-8.pdf","source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10878-024-01209-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050608812","display_name":"Claudia Cavallaro","orcid":"https://orcid.org/0000-0003-3938-0947"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Claudia Cavallaro","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Catania, 95125, Catania, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Catania, 95125, Catania, Italy","institution_ids":["https://openalex.org/I39063666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001469539","display_name":"Vincenzo Cutello","orcid":"https://orcid.org/0000-0002-7521-3516"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Vincenzo Cutello","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Catania, 95125, Catania, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Catania, 95125, Catania, Italy","institution_ids":["https://openalex.org/I39063666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059851427","display_name":"Mario Pavone","orcid":"https://orcid.org/0000-0003-3421-3293"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mario Pavone","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Catania, 95125, Catania, Italy"],"raw_orcid":"https://orcid.org/0000-0003-3421-3293","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Catania, 95125, Catania, Italy","institution_ids":["https://openalex.org/I39063666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050608812"],"corresponding_institution_ids":["https://openalex.org/I39063666"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.9992,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79500787,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"48","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.9887999892234802,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9887999892234802,"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/T11524","display_name":"Advanced Aircraft Design and Technologies","score":0.9715999960899353,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9641000032424927,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.8286562561988831},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.7707136273384094},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.6771607398986816},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.51841139793396},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4193114638328552},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3979966938495636},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3484184443950653},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3414772152900696},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3313155770301819},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09894031286239624}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.8286562561988831},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.7707136273384094},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.6771607398986816},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.51841139793396},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4193114638328552},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3979966938495636},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3484184443950653},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3414772152900696},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3313155770301819},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09894031286239624}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10878-024-01209-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10878-024-01209-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10878-024-01209-8.pdf","source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:48:y:2024:i:4:d:10.1007_s10878-024-01209-8","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-024-01209-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10878-024-01209-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10878-024-01209-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10878-024-01209-8.pdf","source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322690","display_name":"Universit\u00e0 di Catania","ror":"https://ror.org/03a64bh57"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403424979.pdf","grobid_xml":"https://content.openalex.org/works/W4403424979.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1923112697","https://openalex.org/W1975433230","https://openalex.org/W1983093080","https://openalex.org/W2032145219","https://openalex.org/W2058702778","https://openalex.org/W2117295616","https://openalex.org/W2126112131","https://openalex.org/W2139077607","https://openalex.org/W2143698439","https://openalex.org/W2401610261","https://openalex.org/W2592574264","https://openalex.org/W2736177616","https://openalex.org/W2990138404","https://openalex.org/W3008477218","https://openalex.org/W3142463313","https://openalex.org/W3158263509","https://openalex.org/W3183881215","https://openalex.org/W4285717965","https://openalex.org/W4312405846"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2280422768","https://openalex.org/W3143197806","https://openalex.org/W4252555497","https://openalex.org/W3121175838","https://openalex.org/W3016293053","https://openalex.org/W1690653314","https://openalex.org/W2401723157","https://openalex.org/W2065055572","https://openalex.org/W2784269775"],"abstract_inverted_index":{"Abstract":[0],"Given":[1],"a":[2,87,112],"directed":[3],"graph":[4,54],"$$G=(V,A)$$":[5],"<mml:math":[6],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[7],"<mml:mrow>":[8],"<mml:mi>G</mml:mi>":[9],"<mml:mo>=</mml:mo>":[10],"<mml:mo>(</mml:mo>":[11],"<mml:mi>V</mml:mi>":[12],"<mml:mo>,</mml:mo>":[13],"<mml:mi>A</mml:mi>":[14],"<mml:mo>)</mml:mo>":[15],"</mml:mrow>":[16],"</mml:math>":[17],",":[18],"we":[19,125],"tackle":[20],"the":[21,47,53,64,76],"Minimum":[22],"Feedback":[23,39],"Arc":[24,40],"Set":[25],"(MFAS)":[26],"Problem":[27],"by":[28],"designing":[29],"an":[30,104],"efficient":[31],"algorithm":[32,85,105],"to":[33,106],"search":[34],"for":[35,61],"minimal":[36],"and":[37,58,92,121],"stable":[38],"Sets,":[41],"i.e.":[42],"such":[43,59,123],"that":[44,60],"none":[45],"of":[46,66,78],"arcs":[48,71],"can":[49,93],"be":[50,95],"reintroduced":[51],"in":[52],"without":[55],"disrupting":[56],"acyclicity":[57],"each":[62],"vertex":[63],"number":[65,77],"eliminated":[67],"outgoing":[68],"(resp.":[69,81],"incoming)":[70],"is":[72],"not":[73],"bigger":[74],"than":[75],"remaining":[79],"incoming":[80],"outgoing)":[82],"arcs.":[83],"Our":[84],"has":[86],"good":[88],"polynomial":[89],"upper":[90,114],"bound":[91,115],"therefore":[94],"applied":[96],"even":[97],"on":[98,116,122],"large":[99],"graphs.":[100],"We":[101],"also":[102],"introduce":[103],"generate":[107],"strongly":[108],"connected":[109],"graphs":[110,124],"with":[111],"known":[113],"their":[117],"feedback":[118],"arc":[119],"set,":[120],"test":[126],"our":[127],"algorithm.":[128]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}