On Zagreb Indices of Two New Operations of Graphs

Bharali, A.; Buragohain, Jibonjyoti; Mahanta, A.

doi:10.26713/cma.v10i3.1299

Cited by 3 publications

(1 citation statement)

References 8 publications

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“…Also, inequalities related to the subdivision graph and the corona product variants have been determined related to SK index by Sheeja et al [20]. Discrete inequalities related to some graph operation formulations have been analysed for certain other molecular descriptors (Aruvi et al [3], Bharali et al [5], Das et al [6], Fath-Tabar and Vaez-Zadeh [9], and Gao et al [12]).…”

Section: Introductionmentioning

confidence: 99%

On the Hyper Zagreb Indices of the Subdivision Related Composite Graphs

Sarkar,

Nanjappa,

Manjunatha

2024

Comm. Math. Appl.

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Complex network structures are developed from basic graphs by using the graphical operations. The topological indices serves a crucial part for the prediction of any molecular compound in terms of toxicity of any chemical and the utility of the same for the pharmaceutical and the therapeutic industry. To understand the topology of a molecule, one needs to convert the information contained in a molecule to a numerical value which is when the topological indices comes into picture. In this article, we determine the explicit expressions of the first and second hyper Zagreb indices by the method of combinatorial inequalities for the corona products of the subdivision related graphs notably the subdivision vertex, subdivision edge, subdivision neighborbood vertex, subdivision neighborhood edge and subdivision double corona product of graphs. These graphical operations will facilitate in understanding the underlying topologies of certain complex network graphs.

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Section: Introductionmentioning

confidence: 99%

On the Hyper Zagreb Indices of the Subdivision Related Composite Graphs

Sarkar,

Nanjappa,

Manjunatha

2024

Comm. Math. Appl.

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General reduced second Zagreb index of graph operations

Khoeilar

Jahanbani

2020

Asian-European J. Math.

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Let [Formula: see text] be a graph with vertex set [Formula: see text] and edge set [Formula: see text]. The general reduced second Zagreb index of [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is any real number and [Formula: see text] is the degree of the vertex [Formula: see text] of [Formula: see text]. In this paper, the general reduced second Zagreb index of the Cartesian product, corona product, join of graphs and two new operations of graphs are computed.

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On the maximum general sum-connectivity index of trees with a fixed order and maximum degree

Ahmed

2020

Discrete Math. Algorithm. Appl.

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The general sum-connectivity index of a graph [Formula: see text], denoted by [Formula: see text], is defined as [Formula: see text], where [Formula: see text] is the edge connecting the vertices [Formula: see text], [Formula: see text] denotes the degree of the vertex [Formula: see text], and [Formula: see text] is a nonzero real number. This paper is devoted to characterizing the graphs having the maximal [Formula: see text] value among all the trees with order [Formula: see text] and fixed maximum degree.

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On Zagreb Indices of Two New Operations of Graphs

Cited by 3 publications

References 8 publications

On the Hyper Zagreb Indices of the Subdivision Related Composite Graphs

On the Hyper Zagreb Indices of the Subdivision Related Composite Graphs

General reduced second Zagreb index of graph operations

On the maximum general sum-connectivity index of trees with a fixed order and maximum degree

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