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• W2619493822 abstract "Let G be a simple molecular graph without directed and multiple edges and without loops, the vertex and edge-sets of which are represented by V ( G ) and E ( G ), respectively. Suppose G is a connected molecular graph and vertices u, v ∈ V ( >G ). The distance d G ( u,v ) (or d ( u,v ) for short) between vertices u and V of G is defined as the length of a minimum path between u and V . The first and second Zagreb indices of a graph G are defined as M 1 ( G ) = Σ E = uv∈E(G) ( d V + d V ) and M 2 ( G ) = Σ E = uv∈E(G) ( d V × d v ) where d u and d v are the degree of the vertices u and V of G . Recently the Hyper-Zagreb index of a graph G is defined as HM ( G ) = Σ E = uv∈E(G) ( d V + d V ) 2 , by Shirdel et al. In this paper, we define a new version of Zagreb topological indices, on based the Hyper-Zagreb index that defined as the sum of the weights ( d u d V ) 2 and the Second Hyper-Zagreb index of G is equal to HM 2 ( G ) = Σ E = uv∈E(G) ( d V d V ) 2 2 . In continue, exact formulas for the first and second Zagreb and Hyper-Zagreb indices of Carbon Nanocones CNC k [ n ] are computed." @default.
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• W2619493822 date "2016-10-01" @default.
• W2619493822 modified "2023-10-01" @default.
• W2619493822 title "On the First and Second Zagreb and First and Second Hyper-Zagreb Indices of <i>Carbon</i> Nanocones <i>CNC</i>_<i>k</i>[<i>n</i>]" @default.
• W2619493822 doi "https://doi.org/10.1166/jctn.2016.5742" @default.
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