{"id":"https://openalex.org/W4414765002","doi":"https://doi.org/10.46298/theoretics.25.21","title":"Determinantal Sieving","display_name":"Determinantal Sieving","publication_year":2025,"publication_date":"2025-10-02","ids":{"openalex":"https://openalex.org/W4414765002","doi":"https://doi.org/10.46298/theoretics.25.21"},"language":"en","primary_location":{"id":"doi:10.46298/theoretics.25.21","doi":"https://doi.org/10.46298/theoretics.25.21","is_oa":true,"landing_page_url":"https://doi.org/10.46298/theoretics.25.21","pdf_url":"https://theoretics.episciences.org/16626/pdf","source":{"id":"https://openalex.org/S4387285734","display_name":"TheoretiCS","issn_l":"2751-4838","issn":["2751-4838"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TheoretiCS","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://theoretics.episciences.org/16626/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066848088","display_name":"Eduard Eiben","orcid":"https://orcid.org/0000-0003-2628-3435","observed_orcids":["https://orcid.org/0000-0003-2628-3435"]},"institutions":[{"id":"https://openalex.org/I124357947","display_name":"University of London","ror":"https://ror.org/04cw6st05","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947"]},{"id":"https://openalex.org/I184558857","display_name":"Royal Holloway University of London","ror":"https://ror.org/04g2vpn86","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I184558857"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Eduard Eiben","raw_affiliation_strings":["Dept. of Computer Science , Royal Holloway , University of London , United Kingdom"],"raw_orcid":"https://orcid.org/0000-0003-2628-3435","affiliations":[{"raw_affiliation_string":"Dept. of Computer Science , Royal Holloway , University of London , United Kingdom","institution_ids":["https://openalex.org/I124357947","https://openalex.org/I184558857"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088434500","display_name":"Tomohiro Koana","orcid":"https://orcid.org/0000-0002-8684-0611","observed_orcids":["https://orcid.org/0000-0002-8684-0611"]},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tomohiro Koana","raw_affiliation_strings":["Algorithmics and Computational Complexity , Technische Universit\u00e4t Berlin , Germany"],"raw_orcid":"https://orcid.org/0000-0002-8684-0611","affiliations":[{"raw_affiliation_string":"Algorithmics and Computational Complexity , Technische Universit\u00e4t Berlin , Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001475076","display_name":"Magnus Wahlstr\u00f6m","orcid":"https://orcid.org/0000-0002-0933-4504","observed_orcids":["https://orcid.org/0000-0002-0933-4504"]},"institutions":[{"id":"https://openalex.org/I124357947","display_name":"University of London","ror":"https://ror.org/04cw6st05","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947"]},{"id":"https://openalex.org/I184558857","display_name":"Royal Holloway University of London","ror":"https://ror.org/04g2vpn86","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I184558857"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Magnus Wahlstr\u00f6m","raw_affiliation_strings":["Dept. of Computer Science , Royal Holloway , University of London , United Kingdom"],"raw_orcid":"https://orcid.org/0000-0002-0933-4504","affiliations":[{"raw_affiliation_string":"Dept. of Computer Science , Royal Holloway , University of London , United Kingdom","institution_ids":["https://openalex.org/I124357947","https://openalex.org/I184558857"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4963,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67820993,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"Volume 4","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9276999831199646,"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":0.9276999831199646,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.06750000268220901,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0010999999940395355,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-matroids","display_name":"linear matroids","score":0.7670000195503235},{"id":"https://openalex.org/keywords/exterior-algebra","display_name":"exterior algebra","score":0.7739999890327454},{"id":"https://openalex.org/keywords/characteristic-2","display_name":"characteristic 2","score":0.5270000100135803},{"id":"https://openalex.org/keywords/polynomial-evaluation","display_name":"polynomial evaluation","score":0.382999986410141},{"id":"https://openalex.org/keywords/algebraic-branching-programs","display_name":"algebraic branching programs","score":0.4339999854564667},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"parameterized complexity","score":0.3070000112056732}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7610999941825867},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.7560999989509583},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.7010999917984009},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5162000060081482},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.4742000102996826},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45570001006126404},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4374000132083893},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4300999939441681},{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.4147999882698059},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41260001063346863},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.39160001277923584},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3666999936103821},{"id":"https://openalex.org/C17732976","wikidata":"https://www.wikidata.org/wiki/Q7511782","display_name":"Sieve (category theory)","level":2,"score":0.33559998869895935},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.33250001072883606},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.32010000944137573},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.30790001153945923},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.3061999976634979},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.29339998960494995},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.2858000099658966},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C178621168","wikidata":"https://www.wikidata.org/wiki/Q16155113","display_name":"Oriented matroid","level":4,"score":0.28529998660087585},{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C165761256","wikidata":"https://www.wikidata.org/wiki/Q648995","display_name":"Algebraic variety","level":3,"score":0.259799987077713},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.25780001282691956}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.46298/theoretics.25.21","doi":"https://doi.org/10.46298/theoretics.25.21","is_oa":true,"landing_page_url":"https://doi.org/10.46298/theoretics.25.21","pdf_url":"https://theoretics.episciences.org/16626/pdf","source":{"id":"https://openalex.org/S4387285734","display_name":"TheoretiCS","issn_l":"2751-4838","issn":["2751-4838"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TheoretiCS","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2304.02091","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.02091","pdf_url":"https://arxiv.org/pdf/2304.02091","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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:drops-oai.dagstuhl.de:18559","doi":null,"is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2023.25","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol272-mfcs2023/LIPIcs.MFCS.2023.25/LIPIcs.MFCS.2023.25.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"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":"InProceedings"},{"id":"pmh:oai:doaj.org/article:000763b088f7409c9f062fc92cc50101","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/000763b088f7409c9f062fc92cc50101","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"TheoretiCS, Vol Volume 4 (2025)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2304.02091","doi":"https://doi.org/10.48550/arxiv.2304.02091","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2304.02091","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.4230/lipics.mfcs.2023.25","doi":"https://doi.org/10.4230/lipics.mfcs.2023.25","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.mfcs.2023.25","pdf_url":null,"source":{"id":"https://openalex.org/S4393917817","display_name":"Leibniz international proceedings in informatics","issn_l":"1868-8969","issn":["1868-8969"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1","norway-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"ConferencePaper"}],"best_oa_location":{"id":"doi:10.46298/theoretics.25.21","doi":"https://doi.org/10.46298/theoretics.25.21","is_oa":true,"landing_page_url":"https://doi.org/10.46298/theoretics.25.21","pdf_url":"https://theoretics.episciences.org/16626/pdf","source":{"id":"https://openalex.org/S4387285734","display_name":"TheoretiCS","issn_l":"2751-4838","issn":["2751-4838"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TheoretiCS","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G8343373260","display_name":"Parameterized Analysis in Artificial Intelligence","funder_award_id":"Y 1329","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414765002.pdf","grobid_xml":"https://content.openalex.org/works/W4414765002.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"introduce":[1],"determinantal":[2],"sieving,":[3],"a":[4,17,21,27,36,64,91,163,169,172,246],"new,":[5],"remarkably":[6],"powerful":[7],"tool":[8],"in":[9,42,51,103,109,126,136,139,178],"the":[10,52,158,233,242,266,284],"toolbox":[11],"of":[12,23,31,39,55,72,93,157,165,176,222,235,248,262],"algebraic":[13,94],"FPT":[14,95],"algorithms.":[15],"Given":[16],"polynomial":[18],"$P(X)$":[19],"on":[20,90,113,130,143],"set":[22],"variables":[24],"$X=\\{x_1,\\ldots,x_n\\}$":[25],"and":[26,60,106,119,132,198],"linear":[28],"matroid":[29],"$M=(X,\\mathcal{I})$":[30],"rank":[32],"$k$,":[33],"both":[34],"over":[35,115,146,220,241,277],"field":[37],"$\\mathbb{F}$":[38],"characteristic":[40,223,278],"2,":[41],"$2^k$":[43,70],"evaluations":[44,71],"we":[45,74,88,228,251],"can":[46,75],"sieve":[47,76],"for":[48,66,77,183,199],"those":[49,78],"terms":[50],"monomial":[53],"expansion":[54],"$P$":[56,73],"which":[57],"are":[58,215],"multilinear":[59],"whose":[61,80],"support":[62,82,268],"is":[63,256,283],"basis":[65],"$M$.":[67,84],"Alternatively,":[68],"using":[69,236],"monomials":[79],"odd":[81,267],"spans":[83],"Applying":[85],"this":[86,255],"framework,":[87],"improve":[89],"range":[92],"algorithms,":[96],"such":[97],"as:":[98],"1.":[99],"Solving":[100],"$q$-Matroid":[101,107],"Intersection":[102],"time":[104,110,179,187],"$O^*(2^{(q-2)k})$":[105],"Parity":[108],"$O^*(2^{qk})$,":[111],"improving":[112,129,142,181],"$O^*(4^{qk})$":[114],"general":[116,147,226],"fields":[117,148,221],"(Brand":[118],"Pratt,":[120],"ICALP":[121],"2021)":[122],"2.":[123,224,279],"Long":[124],"$(s,t)$-Path":[125],"$O^*(1.66^k)$":[127],"time,":[128,141],"$O^*(2^k)$,":[131],"Rank":[133],"$k$":[134],"$(S,T)$-Linkage":[135],"so-called":[137],"frameworks":[138],"$O^*(2^k)$":[140,192],"$O^*(2^{|S|+O(k^2":[144],"\\log(k+|\\mathbb{F}|))})$":[145],"(Fomin":[149,207],"et":[150,194,208],"al.,":[151,195,209],"SODA":[152],"2023).":[153],"3.":[154],"Many":[155],"instances":[156],"Diverse":[159,200],"X":[160],"paradigm,":[161],"finding":[162],"collection":[164],"$r$":[166],"solutions":[167,182],"to":[168,191,205,217,272,275],"problem":[170],"with":[171],"minimum":[173],"mutual":[174],"distance":[175],"$d$":[177],"$O^*(2^{r(r-1)d/2})$,":[180],"$k$-Distinct":[184],"Branchings":[185],"from":[186,203],"$2^{O(k":[188],"\\log":[189],"k)}$":[190],"(Bang-Jensen":[193],"ESA":[196],"2021),":[197],"Perfect":[201],"Matchings":[202],"$O^*(2^{2^{O(rd)}})$":[204],"$O^*(2^{r^2d/2})$":[206],"STACS":[210],"2021).":[211],"Here,":[212],"all":[213],"matroids":[214],"assumed":[216],"be":[218,273],"represented":[219],"Over":[225],"fields,":[227],"achieve":[229],"similar":[230],"results":[231],"at":[232],"cost":[234],"exponential":[237],"space":[238],"by":[239],"working":[240,276],"exterior":[243],"algebra.":[244],"For":[245],"class":[247],"arithmetic":[249],"circuits":[250],"call":[252],"strongly":[253],"monotone,":[254],"even":[257],"achieved":[258],"without":[259],"any":[260],"loss":[261],"running":[263],"time.":[264],"However,":[265],"sieving":[269],"result":[270],"appears":[271],"specific":[274],"75":[280],"pages.":[281],"This":[282],"TheoretiCS":[285],"journal":[286],"version":[287]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-09-30T09:27:27.532063","created_date":"2025-10-10T00:00:00"}
