{"id":"https://openalex.org/W4413036484","doi":"https://doi.org/10.1007/s00453-025-01336-6","title":"On the Parameterized Complexity of Eulerian Strong Component Arc Deletion","display_name":"On the Parameterized Complexity of Eulerian Strong Component Arc Deletion","publication_year":2025,"publication_date":"2025-08-07","ids":{"openalex":"https://openalex.org/W4413036484","doi":"https://doi.org/10.1007/s00453-025-01336-6","pmid":"https://pubmed.ncbi.nlm.nih.gov/40984865"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-025-01336-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-025-01336-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-025-01336-6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-025-01336-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040350131","display_name":"V\u00e1clav Bla\u017eej","orcid":"https://orcid.org/0000-0001-9165-6280"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"V\u00e1clav Bla\u017eej","raw_affiliation_strings":["University of Warwick, Coventry, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warwick, Coventry, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016153922","display_name":"Satyabrata Jana","orcid":"https://orcid.org/0000-0002-7046-0091"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Satyabrata Jana","raw_affiliation_strings":["University of Warwick, Coventry, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warwick, Coventry, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112411811","display_name":"M. S. Ramanujan","orcid":null},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. S. Ramanujan","raw_affiliation_strings":["University of Warwick, Coventry, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warwick, Coventry, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5093917416","display_name":"Peter Strulo","orcid":"https://orcid.org/0000-0003-0555-9500"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Peter Strulo","raw_affiliation_strings":["University of Warwick, Coventry, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warwick, Coventry, UK","institution_ids":["https://openalex.org/I39555362"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016153922"],"corresponding_institution_ids":["https://openalex.org/I39555362"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":2.2525,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.88903872,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"87","issue":"11","first_page":"1669","last_page":"1709"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9631999731063843,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.954200029373169,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8845909833908081},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.7679593563079834},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.6500004529953003},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.6492974162101746},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6434345245361328},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.485504150390625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4299662113189697},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3534430265426636},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2750616669654846},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.15606921911239624},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12549564242362976},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08706846833229065}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8845909833908081},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.7679593563079834},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.6500004529953003},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.6492974162101746},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6434345245361328},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.485504150390625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4299662113189697},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3534430265426636},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2750616669654846},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.15606921911239624},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12549564242362976},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08706846833229065},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00453-025-01336-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-025-01336-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-025-01336-6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmid:40984865","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40984865","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":null},{"id":"pmh:oai:europepmc.org:11259635","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/12450234","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12450234/pdf/453_2025_Article_1336.pdf","source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:12450234","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12450234/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmica","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s00453-025-01336-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-025-01336-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-025-01336-6.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G86396329","display_name":null,"funder_award_id":"EP/V044621/1","funder_id":"https://openalex.org/F4320314731","funder_display_name":"UK Research and Innovation"}],"funders":[{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4413036484.pdf","grobid_xml":"https://content.openalex.org/works/W4413036484.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1975442866","https://openalex.org/W2005079828","https://openalex.org/W2026129593","https://openalex.org/W2026720321","https://openalex.org/W2063525042","https://openalex.org/W2090960684","https://openalex.org/W2114616381","https://openalex.org/W2116087731","https://openalex.org/W2143456777","https://openalex.org/W2150004999","https://openalex.org/W2166023017","https://openalex.org/W2313886575","https://openalex.org/W2395287869","https://openalex.org/W2460257212","https://openalex.org/W2914414140","https://openalex.org/W3009264021","https://openalex.org/W3123457922","https://openalex.org/W4213060883","https://openalex.org/W4220653067","https://openalex.org/W4376651369","https://openalex.org/W4402701757"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W4255576661","https://openalex.org/W1516574938","https://openalex.org/W1986447712","https://openalex.org/W2110193191"],"abstract_inverted_index":{"In":[0,98],"this":[1,99,103,120],"paper,":[2],"we":[3,101,145,170],"study":[4,68],"the":[5,13,20,25,37,49,67,75,85,110,128,148,173,213,216],"Eulerian":[6],"Strong":[7],"Component":[8],"Arc":[9,52],"Deletion":[10],"problem,":[11,76],"where":[12],"input":[14],"is":[15,22,40,44,56,150,175],"a":[16,45,114,124],"directed":[17],"multigraph":[18],"and":[19,55,91,122,140,182,190,197],"goal":[21],"to":[23,30,59,109,132],"delete":[24],"minimum":[26],"number":[27],"of":[28,36,48,69,74,84,127],"arcs":[29],"ensure":[31],"every":[32],"strongly":[33],"connected":[34],"component":[35],"resulting":[38],"digraph":[39],"Eulerian.":[41],"This":[42],"problem":[43,54,129,149,174],"natural":[46,134],"extension":[47],"Directed":[50],"Feedback":[51],"Set":[53],"also":[57,151],"known":[58],"be":[60],"motivated":[61],"by":[62,79,105,159,180,187,194],"certain":[63],"scenarios":[64],"arising":[65],"in":[66,95,176],"housing":[70],"markets.":[71],"The":[72],"complexity":[73,112],"when":[77,157,178,184],"parameterized":[78,158,179,185],"solution":[80,198],"size":[81,83],"(i.e.,":[82],"deletion":[86],"set),":[87],"has":[88,92],"remained":[89],"unresolved":[90],"been":[93],"highlighted":[94],"several":[96],"papers.":[97],"work,":[100],"answer":[102],"question":[104],"ruling":[106],"out":[107],"(subject":[108],"usual":[111],"assumptions)":[113],"fixed-parameter":[115],"algorithm":[116],"(FPT":[117],"algorithm)":[118],"for":[119],"parameter":[121],"conduct":[123],"broad":[125],"analysis":[126],"with":[130],"respect":[131],"other":[133],"parameterizations.":[135],"We":[136,200],"prove":[137],"both":[138,188,195],"positive":[139],"negative":[141],"results.":[142],"Among":[143],"these,":[144],"demonstrate":[146],"that":[147,172,202],"hard":[152],"(W[1]-hard":[153],"or":[154,162,193],"even":[155],"para-NP-hard)":[156],"either":[160,186],"treewidth":[161,181,189,196,214],"maximum":[163,191],"degree":[164,192],"alone.":[165],"Complementing":[166],"our":[167],"lower":[168],"bounds,":[169],"establish":[171],"XP":[177],"FPT":[183],"size.":[199],"show":[201],"on":[203,212],"simple":[204],"digraphs,":[205],"these":[206],"algorithms":[207],"have":[208],"near-optimal":[209],"asymptotic":[210],"dependence":[211],"assuming":[215],"Exponential":[217],"Time":[218],"Hypothesis.":[219]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
