{"id":"https://openalex.org/W2742433942","doi":"https://doi.org/10.1142/s1793830917500628","title":"New bounds on the decycling number of generalized de Bruijn digraphs","display_name":"New bounds on the decycling number of generalized de Bruijn digraphs","publication_year":2017,"publication_date":"2017-08-08","ids":{"openalex":"https://openalex.org/W2742433942","doi":"https://doi.org/10.1142/s1793830917500628","mag":"2742433942"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830917500628","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500628","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5049211767","display_name":"Jyhmin Kuo","orcid":"https://orcid.org/0000-0003-1023-5308"},"institutions":[{"id":"https://openalex.org/I4210126375","display_name":"Ten Chen Hospital","ror":"https://ror.org/030f60051","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210126375"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Jyhmin Kuo","raw_affiliation_strings":["Chen-Te Senior High School, Hsin Chu 30047, Taiwan"],"raw_orcid":"https://orcid.org/0000-0003-1023-5308","affiliations":[{"raw_affiliation_string":"Chen-Te Senior High School, Hsin Chu 30047, Taiwan","institution_ids":["https://openalex.org/I4210126375"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008893362","display_name":"Hung\u2010Lin Fu","orcid":"https://orcid.org/0000-0001-7218-3043"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Hung-Lin Fu","raw_affiliation_strings":["Department of Applied Mathematics, National Chiao Tung University, Hsin Chu 30050, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao Tung University, Hsin Chu 30050, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049211767"],"corresponding_institution_ids":["https://openalex.org/I4210126375"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09653597,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"09","issue":"05","first_page":"1750062","last_page":"1750062"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9991000294685364,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/combinatorics","display_name":"Combinatorics","score":0.7974178791046143},{"id":"https://openalex.org/keywords/de-bruijn-sequence","display_name":"De Bruijn sequence","score":0.7861254215240479},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7836313247680664},{"id":"https://openalex.org/keywords/de-bruijn-graph","display_name":"De Bruijn graph","score":0.7787668108940125},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.7780081033706665},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6177045106887817},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5880160927772522},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5526453256607056},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5022926330566406},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.4207037091255188},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4195246398448944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09093675017356873}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7974178791046143},{"id":"https://openalex.org/C170320093","wikidata":"https://www.wikidata.org/wiki/Q1953457","display_name":"De Bruijn sequence","level":2,"score":0.7861254215240479},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7836313247680664},{"id":"https://openalex.org/C20218877","wikidata":"https://www.wikidata.org/wiki/Q3066095","display_name":"De Bruijn graph","level":3,"score":0.7787668108940125},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.7780081033706665},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6177045106887817},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5880160927772522},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5526453256607056},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5022926330566406},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.4207037091255188},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4195246398448944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09093675017356873},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830917500628","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500628","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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":29,"referenced_works":["https://openalex.org/W1575434249","https://openalex.org/W1888034942","https://openalex.org/W1903496173","https://openalex.org/W1975145864","https://openalex.org/W1985300267","https://openalex.org/W1991300627","https://openalex.org/W1995044685","https://openalex.org/W2002052439","https://openalex.org/W2036527661","https://openalex.org/W2047766986","https://openalex.org/W2063612829","https://openalex.org/W2063999066","https://openalex.org/W2066862787","https://openalex.org/W2068424683","https://openalex.org/W2081880478","https://openalex.org/W2089749235","https://openalex.org/W2124463034","https://openalex.org/W2136253510","https://openalex.org/W2332241897","https://openalex.org/W2395673640","https://openalex.org/W2401610261","https://openalex.org/W2751601659","https://openalex.org/W2913310562","https://openalex.org/W3001532301","https://openalex.org/W3152703111","https://openalex.org/W4240625092","https://openalex.org/W4245562137","https://openalex.org/W4253960404","https://openalex.org/W4254703335"],"related_works":["https://openalex.org/W2562683361","https://openalex.org/W3087469195","https://openalex.org/W2354744388","https://openalex.org/W3125399386","https://openalex.org/W1982188423","https://openalex.org/W3215786367","https://openalex.org/W1908987670","https://openalex.org/W2756186577","https://openalex.org/W2735897904","https://openalex.org/W1998243779"],"abstract_inverted_index":{"A":[0],"set":[1,33,89],"of":[2,4,24,30,34,47,90,110,116,128],"vertices":[3],"a":[5,16,20,31,35,82,87,96],"graph":[6,12,36],"whose":[7],"removal":[8],"leaves":[9],"an":[10],"acyclic":[11],"is":[13,40,63],"referred":[14,41],"as":[15,43,68],"decycling":[17,32,45,88,126],"set,":[18,23],"or":[19],"feedback":[21],"vertex":[22],"the":[25,44,55,102,108,114,125],"graph.":[26],"The":[27],"minimum":[28],"cardinality":[29],"[Formula:":[37,48,52,60,70,74,91],"see":[38,49,53,61,71,75,92],"text]":[39,62,72,93],"to":[42,85],"number":[46,109,127],"text].":[50,76],"For":[51],"text],":[54],"generalized":[56,129],"de":[57,130],"Bruijn":[58,131],"digraph":[59],"defined":[64],"by":[65],"congruence":[66],"equations":[67],"follows:":[69],"and":[73,94],"In":[77],"this":[78],"paper,":[79],"we":[80,119],"give":[81,95],"systematic":[83],"method":[84],"find":[86],"new":[97,121],"upper":[98],"bound":[99],"that":[100],"improve":[101],"best":[103],"known":[104],"results.":[105],"By":[106],"counting":[107],"vertex-disjoint":[111],"cycles":[112],"with":[113],"idea":[115],"constrained":[117],"necklaces,":[118],"obtain":[120],"lower":[122],"bounds":[123],"on":[124],"digraphs.":[132]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}