{"id":"https://openalex.org/W3030177470","doi":"https://doi.org/10.1142/s1793830920500524","title":"The minimum eccentric distance sum of trees with given distance k-domination number","display_name":"The minimum eccentric distance sum of trees with given distance k-domination number","publication_year":2020,"publication_date":"2020-05-28","ids":{"openalex":"https://openalex.org/W3030177470","doi":"https://doi.org/10.1142/s1793830920500524","mag":"3030177470"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830920500524","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500524","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/A5046445689","display_name":"Lidan Pei","orcid":"https://orcid.org/0000-0001-9604-6289"},"institutions":[{"id":"https://openalex.org/I174385955","display_name":"Hefei Normal University","ror":"https://ror.org/01b64k086","country_code":"CN","type":"education","lineage":["https://openalex.org/I174385955"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lidan Pei","raw_affiliation_strings":["School of Mathematics and Statistics, Hefei Normal University, Hefei, Anhui, 230601, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hefei Normal University, Hefei, Anhui, 230601, P. R. China","institution_ids":["https://openalex.org/I174385955"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051302370","display_name":"Xiang-Feng Pan","orcid":"https://orcid.org/0000-0001-5301-8739"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangfeng Pan","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, Anhui, 230601, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui, 230601, P. R. China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046445689"],"corresponding_institution_ids":["https://openalex.org/I174385955"],"apc_list":null,"apc_paid":null,"fwci":2.3111,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.87760958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"12","issue":"04","first_page":"2050052","last_page":"2050052"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9973999857902527,"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/T10083","display_name":"Graphene research and applications","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7872020602226257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7353999018669128},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6437352895736694},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.4306647479534149},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41628003120422363}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7872020602226257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7353999018669128},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6437352895736694},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.4306647479534149},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41628003120422363},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830920500524","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500524","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":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G4343570497","display_name":null,"funder_award_id":"11901150","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W604158355","https://openalex.org/W1228647933","https://openalex.org/W1493071618","https://openalex.org/W1974110893","https://openalex.org/W1981903721","https://openalex.org/W1983773166","https://openalex.org/W1987035561","https://openalex.org/W1988820540","https://openalex.org/W1993010491","https://openalex.org/W2008057254","https://openalex.org/W2016346312","https://openalex.org/W2021229217","https://openalex.org/W2029382024","https://openalex.org/W2031217417","https://openalex.org/W2032944996","https://openalex.org/W2040913374","https://openalex.org/W2055455751","https://openalex.org/W2062388969","https://openalex.org/W2065534534","https://openalex.org/W2072141822","https://openalex.org/W2150551524","https://openalex.org/W2281434457","https://openalex.org/W2524289167","https://openalex.org/W2646798018","https://openalex.org/W2790688311","https://openalex.org/W2797552901","https://openalex.org/W2801798868","https://openalex.org/W2907267410","https://openalex.org/W2982399863","https://openalex.org/W4233655835"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2002177687","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W3111310291"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,9,22,28,32,40,48,58,63,69,74,81,84,90,99,104,111,115,119,129,135,139],"see":[2,10,23,29,33,41,49,59,64,70,75,82,85,91,100,105,112,116,120,130,136,140],"text]":[3,11,24,34,42,50,65,76,86,106,117,141],"be":[4,12],"a":[5,13,67],"positive":[6],"integer":[7],"and":[8,47],"simple":[14],"connected":[15],"graph.":[16],"The":[17,93],"eccentric":[18,145],"distance":[19,38,68,98,110,134,146],"sum":[20,53,147],"of":[21,54,73,103,118],"is":[25,35,51,66,107],"defined":[26],"as":[27],"text],":[30,83],"where":[31],"the":[36,52,109,125,143],"maximum":[37],"from":[39,57],"to":[43],"any":[44],"other":[45],"vertex":[46,80,89],"all":[55,97,128],"distances":[56],"text].":[60,92,121],"A":[61],"set":[62,72],"text]-dominating":[71,101],"if":[77],"for":[78,87],"every":[79],"some":[88],"minimum":[94],"cardinality":[95],"among":[96,127],"sets":[102],"called":[108],"text]-domination":[113,137],"number":[114,138],"In":[122],"this":[123],"paper,":[124],"trees":[126,132],"text]-vertex":[131],"with":[133],"having":[142],"minimal":[144],"are":[148],"determined.":[149]},"counts_by_year":[{"year":2022,"cited_by_count":4},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
