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Bounds for neighborhood Zagreb index and its explicit expressions under some graph operations

dc.creatorMondal, Sourav
dc.creatorAli , Muhammad Arfan
dc.creatorDe , Nilanjan
dc.creatorPal, Anita
dc.date2020-07-28
dc.date.accessioned2020-07-29T16:38:00Z
dc.date.available2020-07-29T16:38:00Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4263
dc.identifier10.22199/issn.0717-6279-2020-04-0050
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/147138
dc.descriptionTopological indices are useful in QSAR/QSPR studies for modeling biological and physiochemical properties of molecules. The neighborhood Zagreb index (MN) is a novel topological index having good correlations with some physiochemical properties. For a simple connected graph G, the neighborhood Zagreb index is the totality of square of ?G(v) over the vertex set, where ?G(v) is the total count of degrees of all neighbors of v in G. In this report, some bounds are established for the neighborhood Zagreb index. Some explicit expressions of the index for some graph operations are also computed, which are used to obtain the index for some chemically significant molecular graphs.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4263/3466
dc.rightsCopyright (c) 2020 Sourav Mondal, Muhammad Arfan Ali , Nilanjan De , Anita Palen-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 39 No. 4 (2020): Special Issue: Mathematical Computation in Combinatorics and Graph Theory; 799-819en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 39 Núm. 4 (2020): Special Issue: Mathematical Computation in Combinatorics and Graph Theory; 799-819es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2020-04
dc.subjectTopological indexen-US
dc.subjectFirst Zagreb indexen-US
dc.subjectSecond Zagreb indexen-US
dc.subjectNeighbouhood Zagreb indexen-US
dc.subjectGraph operationsen-US
dc.subjectExtremal problems in graph theoryen-US
dc.subject05C35en-US
dc.subject05C07en-US
dc.subjectVertex degreesen-US
dc.subject05C40en-US
dc.subjectConnectivityen-US
dc.titleBounds for neighborhood Zagreb index and its explicit expressions under some graph operationsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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