The multiplicative Zagreb indices of graph operations

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

doi:10.1186/1029-242x-2013-90

Cited by 76 publications

(48 citation statements)

References 3 publications

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“…Ashrafi et al [13] derived explicit expressions for Zagreb coindices of different graph operations. Das et al [14] derived some upper bounds for multiplicative Zagreb indices of different graph operations. Azari and Iranmanesh [15], presented explicit formulae for computing the eccentric-distance sum of different graph operations.…”

Section: Introductionmentioning

confidence: 99%

Reformulated First Zagreb Index of Some Graph Operations

De¹,

Nayeem

Pal

2015

Mathematics

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Abstract:The reformulated Zagreb indices of a graph are obtained from the classical Zagreb indices by replacing vertex degrees with edge degrees, where the degree of an edge is taken as the sum of degrees of the end vertices of the edge minus 2. In this paper, we study the behavior of the reformulated first Zagreb index and apply our results to different chemically interesting molecular graphs and nano-structures.

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Section: Introductionmentioning

confidence: 99%

Reformulated First Zagreb Index of Some Graph Operations

De¹,

Nayeem

Pal

2015

Mathematics

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“…The mathematical properties of the first and second multiplicative Zagreb indices have been given in [6,11].…”

Section: Introductionmentioning

confidence: 99%

On the first Zagreb index and multiplicative Zagreb coindices of graphs

Das

Akgüneş

Togan

et al. 2016

Analele Universitatii "Ovidius" Constanta - Seria Matematica

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“…Recently many other multiplicative indices and coindices of graphs were studied, for example, in [19], [20], [21]. In this paper, we initiate a study of the multiplicative Nano-Zagreb indices of graphs.…”

Section: The Multiplicative Nano-zagreb Index Of Some Graph Operamentioning

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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The multiplicative Zagreb indices of graph operations

Cited by 76 publications

References 3 publications

Reformulated First Zagreb Index of Some Graph Operations

Reformulated First Zagreb Index of Some Graph Operations

On the first Zagreb index and multiplicative Zagreb coindices of graphs

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

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