{"id":"https://openalex.org/W3112581118","doi":"https://doi.org/10.1142/s1793830921500464","title":"General eccentric distance sum of graphs","display_name":"General eccentric distance sum of graphs","publication_year":2020,"publication_date":"2020-12-11","ids":{"openalex":"https://openalex.org/W3112581118","doi":"https://doi.org/10.1142/s1793830921500464","mag":"3112581118"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921500464","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500464","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/A5036451542","display_name":"Tom\u00e1\u0161 Vetr\u00edk","orcid":"https://orcid.org/0000-0002-0387-7276"},"institutions":[{"id":"https://openalex.org/I26999989","display_name":"University of the Free State","ror":"https://ror.org/009xwd568","country_code":"ZA","type":"education","lineage":["https://openalex.org/I26999989"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Tom\u00e1\u0161 Vetr\u00edk","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of the Free State, Bloemfontein, South Africa"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of the Free State, Bloemfontein, South Africa","institution_ids":["https://openalex.org/I26999989"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036451542"],"corresponding_institution_ids":["https://openalex.org/I26999989"],"apc_list":null,"apc_paid":null,"fwci":0.7704,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71556671,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"13","issue":"04","first_page":"2150046","last_page":"2150046"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":1.0,"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":1.0,"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/T11298","display_name":"Synthesis and Properties of Aromatic Compounds","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.9904000163078308,"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":0.8086137771606445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7664143443107605},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5862475633621216},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5427991151809692},{"id":"https://openalex.org/keywords/metric-dimension","display_name":"Metric dimension","score":0.5237340927124023},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.49352943897247314},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.44997793436050415},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39984163641929626},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3531414568424225},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.26316627860069275}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8086137771606445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7664143443107605},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5862475633621216},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5427991151809692},{"id":"https://openalex.org/C60933471","wikidata":"https://www.wikidata.org/wiki/Q17152964","display_name":"Metric dimension","level":5,"score":0.5237340927124023},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.49352943897247314},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.44997793436050415},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39984163641929626},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3531414568424225},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.26316627860069275}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830921500464","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500464","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":[{"id":"https://openalex.org/G2722630650","display_name":null,"funder_award_id":"126894","funder_id":"https://openalex.org/F4320335132","funder_display_name":"South African Agency for Science and Technology Advancement"}],"funders":[{"id":"https://openalex.org/F4320335132","display_name":"South African Agency for Science and Technology Advancement","ror":"https://ror.org/05s0g1g46"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W309712156","https://openalex.org/W1973971885","https://openalex.org/W1984038227","https://openalex.org/W1988820540","https://openalex.org/W1993010491","https://openalex.org/W2032944996","https://openalex.org/W2048161246","https://openalex.org/W2055455751","https://openalex.org/W2605911938","https://openalex.org/W2911330243","https://openalex.org/W2944145051","https://openalex.org/W2990030184","https://openalex.org/W2991538769","https://openalex.org/W3015909957","https://openalex.org/W3030177470"],"related_works":["https://openalex.org/W1555816812","https://openalex.org/W1966320878","https://openalex.org/W4376851474","https://openalex.org/W4283803822","https://openalex.org/W2029336174","https://openalex.org/W1994963913","https://openalex.org/W2788975631","https://openalex.org/W2963009577","https://openalex.org/W2063494850","https://openalex.org/W1964113132"],"abstract_inverted_index":{"For":[0],"[Formula:":[1,15,19,23,31,34,43,47,50,54,62,66,70],"see":[2,16,20,24,32,35,44,48,51,55,63,67,71],"text],":[3,21,33,49],"we":[4],"define":[5],"the":[6,27,38,58,86],"general":[7,87,92],"eccentric":[8,88],"distance":[9,59,89],"sum":[10,90],"of":[11,30,40,79,98,102,110,115],"a":[12,41],"connected":[13],"graph":[14],"text]":[17,25,36,45,52,56,64,68],"as":[18,123],"where":[22],"is":[26,37,57],"vertex":[28,42,106],"set":[29],"eccentricity":[39],"in":[46,69],"and":[53,65,96,105,108,113],"between":[60],"vertices":[61],"text].":[72],"This":[73],"index":[74],"generalizes":[75],"several":[76],"other":[77],"indices":[78],"graphs.":[80],"We":[81],"present":[82],"some":[83],"bounds":[84],"on":[85],"for":[91],"graphs,":[93],"bipartite":[94],"graphs":[95,101,109,120],"trees":[97],"given":[99,103,111],"order,":[100],"order":[104,112],"connectivity":[107],"number":[114],"pendant":[116],"vertices.":[117],"The":[118],"extremal":[119],"are":[121],"presented":[122],"well.":[124]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}