{"id":"https://openalex.org/W4396614990","doi":"https://doi.org/10.1142/s1793830924500502","title":"First Zagreb index and edge-vertex domination in trees","display_name":"First Zagreb index and edge-vertex domination in trees","publication_year":2024,"publication_date":"2024-05-03","ids":{"openalex":"https://openalex.org/W4396614990","doi":"https://doi.org/10.1142/s1793830924500502"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830924500502","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830924500502","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/A5090659552","display_name":"H. Naresh Kumar","orcid":"https://orcid.org/0009-0000-7620-4542"},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"H. Naresh Kumar","raw_affiliation_strings":["Department of Mathematics, School of Arts Sciences Humanities & Education, SASTRA Deemed to be University, Thanjavur 613401, India"],"raw_orcid":"https://orcid.org/0000-0002-1717-239X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts Sciences Humanities & Education, SASTRA Deemed to be University, Thanjavur 613401, India","institution_ids":["https://openalex.org/I932239252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104669071","display_name":"B. Senthilkumar","orcid":null},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B. Senthilkumar","raw_affiliation_strings":["Department of Mathematics, School of Arts Sciences Humanities & Education, SASTRA Deemed to be University, Thanjavur 613401, India"],"raw_orcid":"https://orcid.org/0000-0001-8121-7233","affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts Sciences Humanities & Education, SASTRA Deemed to be University, Thanjavur 613401, India","institution_ids":["https://openalex.org/I932239252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051054037","display_name":"Selvaraj Balachandran","orcid":"https://orcid.org/0000-0003-2782-6315"},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Balachandran","raw_affiliation_strings":["Department of Mathematics, School of Arts Sciences Humanities & Education, SASTRA Deemed to be University, Thanjavur 613401, India"],"raw_orcid":"https://orcid.org/0000-0003-2782-6315","affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts Sciences Humanities & Education, SASTRA Deemed to be University, Thanjavur 613401, India","institution_ids":["https://openalex.org/I932239252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043202535","display_name":"Y. B. Venkatakrishnan","orcid":"https://orcid.org/0000-0003-4560-2040"},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Y. B. Venkatakrishnan","raw_affiliation_strings":["Department of Mathematics, School of Arts Sciences Humanities & Education, SASTRA Deemed to be University, Thanjavur 613401, India","Directorate of Online & Distance Education, SASTRA Deemed to be University, Thanjavur 613401, India"],"raw_orcid":"https://orcid.org/0000-0003-4560-2040","affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts Sciences Humanities & Education, SASTRA Deemed to be University, Thanjavur 613401, India","institution_ids":["https://openalex.org/I932239252"]},{"raw_affiliation_string":"Directorate of Online & Distance Education, SASTRA Deemed to be University, Thanjavur 613401, India","institution_ids":["https://openalex.org/I932239252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090659552"],"corresponding_institution_ids":["https://openalex.org/I932239252"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11500792,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"03","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9937999844551086,"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":0.9937999844551086,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9811000227928162,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/vertex","display_name":"Vertex (graph theory)","score":0.6398492455482483},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6023341417312622},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.5672529339790344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4960814416408539},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4576694965362549},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2504422068595886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21852323412895203},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12274450063705444}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6398492455482483},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6023341417312622},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.5672529339790344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4960814416408539},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4576694965362549},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2504422068595886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21852323412895203},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12274450063705444},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830924500502","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830924500502","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":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1998944033","https://openalex.org/W2016346312","https://openalex.org/W2065534534","https://openalex.org/W2085908220","https://openalex.org/W2127013119","https://openalex.org/W2793144387","https://openalex.org/W4200602692"],"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/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W3111310291"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,15,21,30],"see":[2,16,22,31],"text]":[3,17,32],"be":[4],"a":[5,26],"simple":[6],"connected":[7],"graph.":[8],"The":[9],"first":[10],"Zagreb":[11],"index":[12],"denoted":[13],"by":[14],"is":[18],"defined":[19],"as":[20],"text].":[23],"We":[24],"present":[25],"lower":[27],"bound":[28],"for":[29,41],"in":[33],"terms":[34],"of":[35],"order":[36],"and":[37,43],"edge-vertex":[38],"domination":[39],"number":[40],"trees":[42,47],"characterized":[44],"the":[45,49],"extremal":[46],"attaining":[48],"bound.":[50]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}