Some formulae for the Zagreb indices of graphs

Cangül, İsmaıl Nacı; Yurttas, Aysun; Togan, Muge; Çevik, A. Sinan

doi:10.1063/1.4756139

Cited by 3 publications

(2 citation statements)

References 11 publications

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“…Corollary 2. ( [1,3,4,2]) The Second Hyper Zagreb Index of R-Vertex Corona Product of two path graphs P n ,P m and cycle graphs C n ,C m :…”

Section: Also To Determinementioning

confidence: 99%

On Second Hyper-Zagreb Index of Corona Products Related to R-Graphs

Sarkar,

Nanjappa

2023

Int. J. of Appl. Math.

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The cognitive and evidential features of the graph discipline are significantly influenced by the implementation of graph operations. Molecular descriptor acts as a fundamental network invariant relevant to a particular molecular structure in the framework of chemical graph theory. The semi-total point graph features the edges of subdivision graph as well as the edges of the original graph. In this paper, we explore combinatorial inequalities associated with the edges, vertices and its corresponding neighborhood notions along with the inclusion of other molecular descriptors in the computations for the determination of exact expressions of second hyper-Zagreb index for certain corona products involving the semi-total point graph.

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“…Corollary 2. ( [1,3,4,2]) The Second Hyper Zagreb Index of R-Vertex Corona Product of two path graphs P n ,P m and cycle graphs C n ,C m :…”

Section: Also To Determinementioning

confidence: 99%

On Second Hyper-Zagreb Index of Corona Products Related to R-Graphs

Sarkar,

Nanjappa

2023

Int. J. of Appl. Math.

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“…As an application of Theorem 3.9, we list explicit formulae for the third Zagreb index of the rectangular grid P r × P s , C 4 -nanotube P r × C q and C 4 -nanotorus P r × W s . The formulae follow from Theorem 3.9 by using the expressions [18],…”

Section: Nano-zagreb Index Of Some Graph Operationsmentioning

confidence: 99%

Nano-Zagreb Index and Multiplicative Nano-Zagreb Index of Some Graph Operations

Jahanbani¹,

Shooshtary²

2019

IJCSAM

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Let G be a graph with vertex set V (G) and edge set E(G). The Nano-Zagreb and multiplicative Nano-Zagreb indicesis the degree of the vertex v. In this paper, we define two types of Zagreb indices based on degrees of vertices. Also the Nano-Zagreb index and multiplicative Nano-Zagreb index of the Cartesian product, symmetric difference, composition and disjunction of graphs are computed.Index Terms-Graph operations, Nano-Zagreb index, Multiplicative Nano-Zagreb index, Zagreb index.

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