{"id":"https://openalex.org/W2979548720","doi":"https://doi.org/10.1145/3355629","title":"Spanning Circuits in Regular Matroids","display_name":"Spanning Circuits in Regular Matroids","publication_year":2019,"publication_date":"2019-10-04","ids":{"openalex":"https://openalex.org/W2979548720","doi":"https://doi.org/10.1145/3355629","mag":"2979548720"},"language":"en","primary_location":{"id":"doi:10.1145/3355629","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3355629","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","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/A5075328697","display_name":"Fedor V. Fomin","orcid":"https://orcid.org/0000-0003-1955-4612"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Fedor V. Fomin","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051709720","display_name":"Petr A. Golovach","orcid":"https://orcid.org/0000-0002-2619-2990"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Petr A. Golovach","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038531405","display_name":"Daniel Lokshtanov","orcid":"https://orcid.org/0000-0002-3166-9212"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Lokshtanov","raw_affiliation_strings":["Department of Computer Sciences, University of California Santa Barbara, Santa Barbara, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, University of California Santa Barbara, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015806060","display_name":"Saket Saurabh","orcid":"https://orcid.org/0000-0001-7847-6402"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]},{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN","NO"],"is_corresponding":false,"raw_author_name":"Saket Saurabh","raw_affiliation_strings":["Department of Informatics, University of Bergen, Norway and The Institute of Mathematical Sciences, HBNI, Chennai, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Norway and The Institute of Mathematical Sciences, HBNI, Chennai, Tamil Nadu, India","institution_ids":["https://openalex.org/I59611059","https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5075328697"],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":null,"apc_paid":null,"fwci":0.4043,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6606799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"4","first_page":"1","last_page":"38"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":1.0,"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":1.0,"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":0.9994000196456909,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9962999820709229,"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/matroid","display_name":"Matroid","score":0.9716497659683228},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8080062866210938},{"id":"https://openalex.org/keywords/panning","display_name":"Panning (audio)","score":0.788823127746582},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6884800791740417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6236551403999329},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5761202573776245},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.5466982126235962},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.5059272646903992},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.469562292098999},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09147614240646362}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9716497659683228},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8080062866210938},{"id":"https://openalex.org/C108944566","wikidata":"https://www.wikidata.org/wiki/Q1524510","display_name":"Panning (audio)","level":4,"score":0.788823127746582},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6884800791740417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6236551403999329},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5761202573776245},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.5466982126235962},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.5059272646903992},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.469562292098999},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09147614240646362},{"id":"https://openalex.org/C124913957","wikidata":"https://www.wikidata.org/wiki/Q1232548","display_name":"Zoom","level":3,"score":0.0},{"id":"https://openalex.org/C15336307","wikidata":"https://www.wikidata.org/wiki/Q1766051","display_name":"Lens (geology)","level":2,"score":0.0},{"id":"https://openalex.org/C78762247","wikidata":"https://www.wikidata.org/wiki/Q1273174","display_name":"Petroleum engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3355629","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3355629","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1963871092","https://openalex.org/W1971934455","https://openalex.org/W1991950740","https://openalex.org/W1993113968","https://openalex.org/W1994262057","https://openalex.org/W2000941444","https://openalex.org/W2005079828","https://openalex.org/W2040101882","https://openalex.org/W2042202526","https://openalex.org/W2045426033","https://openalex.org/W2064702321","https://openalex.org/W2066060706","https://openalex.org/W2091441627","https://openalex.org/W2095761422","https://openalex.org/W2116087731","https://openalex.org/W2128203754","https://openalex.org/W2166115470","https://openalex.org/W2169528473","https://openalex.org/W2182109708","https://openalex.org/W2293593229","https://openalex.org/W2296148711","https://openalex.org/W2471129545","https://openalex.org/W2561675875","https://openalex.org/W2563767922","https://openalex.org/W2914414140","https://openalex.org/W4210334774","https://openalex.org/W4232298842","https://openalex.org/W4255288880"],"related_works":["https://openalex.org/W1978795414","https://openalex.org/W1963746795","https://openalex.org/W4301139944","https://openalex.org/W2042202526","https://openalex.org/W2016957139","https://openalex.org/W1829211283","https://openalex.org/W2040455566","https://openalex.org/W4291556988","https://openalex.org/W2050921239","https://openalex.org/W2979548720"],"abstract_inverted_index":{"We":[0,92,159,196],"consider":[1],"the":[2,28,50,71,74,87,90,94,108,140],"fundamental":[3],"Matroid":[4],"Theory":[5],"problem":[6,29,51,75],"of":[7,18,30,39,49,57,73,89,96,171,237],"finding":[8,31],"a":[9,12,15,32,37,44,55,120,150,169,199,211,234],"circuit":[10,121,151],"in":[11,43],"matroid":[13],"containing":[14,127,152],"set":[16,38],"T":[17,128],"given":[19,40],"terminal":[20,41],"elements.":[21],"For":[22],"graphic":[23,58],"matroids,":[24,54,59,168,173,233],"this":[25],"corresponds":[26],"to":[27,166,201],"simple":[33],"cycle":[34],"passing":[35],"through":[36],"edges":[42],"graph.":[45],"The":[46],"algorithmic":[47,164],"study":[48],"on":[52,188,231],"regular":[53,105,172,238],"superclass":[56,170],"was":[60],"initiated":[61],"by":[62,86,101,133,157,184,209,226],"Gaven\u010diak,":[63,97],"Kr\u00e1l\u2019,":[64,98],"and":[65,99],"Oum":[66,100],"[ICALP\u201912],":[67],"who":[68],"proved":[69],"that":[70,103,161,218],"case":[72],"with":[76,122],"\u2223T\u2223":[77,138,193,227],"=":[78,135,194],"2":[79],"is":[80,119,130,149,154,174,186,228],"fixed-parameter":[81],"tractable":[82],"(FPT)":[83],"when":[84,192],"parameterized":[85,132,156,183,225],"length":[88],"circuit.":[91],"extend":[93],"result":[95],"showing":[102],"for":[104],"matroids":[106,190],"\u2022":[107,139],"M":[109,177,219],"inimum":[110,178,220],"S":[111,141,179,221],"panning":[112,142,180,222],"C":[113,143,181,223],"ircuit":[114,144,182,224],"problem,":[115,145],"deciding":[116,146],"whether":[117,147],"there":[118,148],"at":[123],"most":[124],"\u2113":[125,136,185],"elements":[126],",":[129],"FPT":[131,155],"k":[134],"\u2212":[137],"\u2223T\u2223,":[153],"\u2223T\u2223.":[158],"note":[160],"extending":[162],"our":[163,204],"findings":[165],"binary":[167,189],"highly":[175],"unlikely:":[176],"W[1]-hard":[187,229],"even":[191,230],"1.":[195],"also":[197],"show":[198],"limit":[200],"how":[202],"far":[203],"results":[205],"can":[206],"be":[207],"strengthened":[208],"considering":[210],"smaller":[212],"parameter.":[213],"More":[214],"precisely,":[215],"we":[216],"prove":[217],"cographic":[232],"proper":[235],"subclass":[236],"matroids.":[239]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
