{"id":"https://openalex.org/W2082180692","doi":"https://doi.org/10.1137/080717468","title":"Short Cycle Covers of Graphs with Minimum Degree Three","display_name":"Short Cycle Covers of Graphs with Minimum Degree Three","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2082180692","doi":"https://doi.org/10.1137/080717468","mag":"2082180692"},"language":"en","primary_location":{"id":"doi:10.1137/080717468","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080717468","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0908.1423","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000051529","display_name":"Tom\u00e1\u0161 Kaiser","orcid":"https://orcid.org/0000-0003-0448-0171"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tom\u00e1\u0161 Kaiser","raw_affiliation_strings":["kaisert@kma.zcu.cz#TAB#"],"affiliations":[{"raw_affiliation_string":"kaisert@kma.zcu.cz#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027559065","display_name":"Daniel Kr\u00e1l\u034f\u030c","orcid":"https://orcid.org/0000-0001-8680-0890"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel Kr\u00e1l'","raw_affiliation_strings":["kral@kam.mff.cuni.cz#TAB#"],"affiliations":[{"raw_affiliation_string":"kral@kam.mff.cuni.cz#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052932128","display_name":"Bernard Lidick\u00fd","orcid":"https://orcid.org/0000-0001-8612-3594"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bernard Lidick\u00fd","raw_affiliation_strings":["bernard@kam.mff.cuni.cz and bim@kam.mff.cuni.cz#TAB#"],"affiliations":[{"raw_affiliation_string":"bernard@kam.mff.cuni.cz and bim@kam.mff.cuni.cz#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015154499","display_name":"Pavel Nejedl\u00fd","orcid":null},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Pavel Nejedl\u00fd","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Physics, Charles University, Mal-ostransk\u00e9 n\u00e1m\u011bst\u00ed 25, 118 00 Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Physics, Charles University, Mal-ostransk\u00e9 n\u00e1m\u011bst\u00ed 25, 118 00 Prague, Czech Republic","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081562141","display_name":"Robert \u0160\u00e1mal","orcid":"https://orcid.org/0000-0002-0172-6511"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert \u0160\u00e1mal","raw_affiliation_strings":["samal@kam.mff.cuni.cz#TAB#"],"affiliations":[{"raw_affiliation_string":"samal@kam.mff.cuni.cz#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5000051529"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3672,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.81557241,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"24","issue":"1","first_page":"330","last_page":"355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9970999956130981,"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"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/combinatorics","display_name":"Combinatorics","score":0.8158063888549805},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8142274022102356},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7206209897994995},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.5858399271965027},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5646508932113647},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5595845580101013},{"id":"https://openalex.org/keywords/approx","display_name":"Approx","score":0.5462186336517334},{"id":"https://openalex.org/keywords/cubic-graph","display_name":"Cubic graph","score":0.49976086616516113},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4674794375896454},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.1639162003993988},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09970453381538391},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07233607769012451},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.07227849960327148}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8158063888549805},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8142274022102356},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7206209897994995},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.5858399271965027},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5646508932113647},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5595845580101013},{"id":"https://openalex.org/C2777894999","wikidata":"https://www.wikidata.org/wiki/Q4781758","display_name":"Approx","level":2,"score":0.5462186336517334},{"id":"https://openalex.org/C100500283","wikidata":"https://www.wikidata.org/wiki/Q1374495","display_name":"Cubic graph","level":5,"score":0.49976086616516113},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4674794375896454},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.1639162003993988},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09970453381538391},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07233607769012451},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.07227849960327148},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/080717468","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080717468","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0908.1423","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0908.1423","pdf_url":"https://arxiv.org/pdf/0908.1423","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.141.3973","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.3973","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://kam.mff.cuni.cz/~kamserie/serie/clanky/2008/s847.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.142.7170","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.142.7170","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://iti.mff.cuni.cz/series/files/iti375.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0908.1423","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0908.1423","pdf_url":"https://arxiv.org/pdf/0908.1423","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7382489548","display_name":null,"funder_award_id":"MSM 4977751301","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G7564109755","display_name":null,"funder_award_id":"201/09/0197","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W196573717","https://openalex.org/W1563416066","https://openalex.org/W1786780942","https://openalex.org/W1968068042","https://openalex.org/W1977200224","https://openalex.org/W1986334784","https://openalex.org/W2005152226","https://openalex.org/W2013326192","https://openalex.org/W2013356944","https://openalex.org/W2018332478","https://openalex.org/W2021628833","https://openalex.org/W2029920486","https://openalex.org/W2031373750","https://openalex.org/W2032034839","https://openalex.org/W2037351898","https://openalex.org/W2042517851","https://openalex.org/W2049716158","https://openalex.org/W2051565157","https://openalex.org/W2056535500","https://openalex.org/W2057400553","https://openalex.org/W2068987903","https://openalex.org/W2073039945","https://openalex.org/W2074695934","https://openalex.org/W2340149117","https://openalex.org/W2749427961","https://openalex.org/W4230039044"],"related_works":["https://openalex.org/W2277483927","https://openalex.org/W2399035783","https://openalex.org/W3161230432","https://openalex.org/W1867383269","https://openalex.org/W4367190712","https://openalex.org/W4300899577","https://openalex.org/W3194471551","https://openalex.org/W2168900540","https://openalex.org/W399943172","https://openalex.org/W1487201914"],"abstract_inverted_index":{"The":[0],"shortest":[1],"cycle":[2,40,58],"cover":[3,41,59],"conjecture":[4],"of":[5,13,25,42,60],"Alon":[6],"and":[7,48],"Tarsi":[8],"asserts":[9],"that":[10,33],"the":[11],"edges":[12,19],"every":[14,34,49],"bridgeless":[15,36,50],"graph":[16,37,51],"with":[17,52],"m":[18],"can":[20],"be":[21],"covered":[22],"by":[23],"cycles":[24],"total":[26,43,61],"length":[27,44,62],"at":[28,45,63],"most":[29,46,64],"$7m/5=1.400m$.":[30],"We":[31],"show":[32],"cubic":[35],"has":[38,56],"a":[39,57],"$34m/21\\approx1.619m$,":[47],"minimum":[53],"degree":[54],"three":[55],"$44m/27\\approx1.630m$.":[65]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
