On certain topological indices of the line graph of subdivision graphs

Nadeem, Muhammad Faisal; Zafar, Sohail; Zahid, Zohaib

doi:10.1016/j.amc.2015.09.061

Cited by 41 publications

(31 citation statements)

References 3 publications

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“…There are various graph operations which are applied directly on simple graphs to study their properties under these operations. Many authors computed several topological indices of some graph operations and line graph of these graph operations for certain families [24,11,7,6,22,2,28], e.g. composition, disjunction, Cartesian product, corona product, indu-bala product and wreath product of two graphs.…”

Section: Definitions Notations and Resultsmentioning

confidence: 99%

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Certain topological indices and polynomials for the semitotal-point graph and line graph of semitotal-point graph for Dutch windmill graph

Kanwal

Imtiaz

Manzoor

et al. 2020

IJC

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Dutch windmill graph [1, 2] and denoted by Dnm. Order and size of Dutch windmill graph are (n−1)m+1 and mn respectively. In this paper, we computed certain topological indices and polynomials i.e. Zagreb polynomials, hyper Zagreb, Redefined Zagreb indices, modified first Zagreb, Reduced second Zagreb, Reduced Reciprocal Randi´c, 1st Gourava index, 2nd Gourava index, 1st hyper Gourava index, 2nd hyper Gourava index, Product connectivity Gourava index, Sum connectivity Gourava index, Forgotten index, Forgotten polynomials, M-polynomials and some topological indices in term of the M-polynomials i.e. 1st Zagreb index, 2nd Zagreb index, Modified 2nd Zagreb, Randi´c index, Reciprocal Randi´c index, Symmetric division, Harmonic index, Inverse Sum index, Augmented Zagreb index for the semitotal-point graph and line graph of semitotal-point graph for Dutch windmill graph.

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Section: Definitions Notations and Resultsmentioning

confidence: 99%

“…In 1981, Bertz [3] introduced first topological index based on line graph. Many authors computed the line graph of certain families of graphs in [12,9,24,11,2]. Many authors computed several topological indices for these four graph operations.…”

Section: Definitions Notations and Resultsmentioning

confidence: 99%

Certain topological indices and polynomials for the semitotal-point graph and line graph of semitotal-point graph for Dutch windmill graph

Kanwal

Imtiaz

Manzoor

et al. 2020

IJC

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“…They also studied the Zagreb indices of the line graphs of subdivision graphs of tadpole, wheel and ladder graphs in [11]. Motivated by the results of [8,10,11], we compute the topological indices of total graph of subdivision graphs of tadpole graph, wheel graph and ladder graph. Proposition 3.1.…”

Section: Topological Indices Of Total Graphs and Line Graph Of Subdivmentioning

confidence: 99%

Topological Indices of the Total Graph of Subdivision Graphs

Mohanappriya¹,

Vijayalakshmi²

2017

APAM

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“…In 2015, Su and Xu figured the general aggregate availability records and co-lists of the line diagrams of the tadpole and haggle charts with subdivision in [27]. Nadeem et al [28,29] registered ABC 4 and GA 5 records of the line charts of the tadpole, wheel, stepping stool, 2D−lattice, nanotube, and nanotorus of…”

Section: Topological Indices For Line Graph Of Subdivided Graph L(s(g))mentioning

confidence: 99%

Computing Topological Indices and Polynomials for Line Graphs

et al. 2018

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Abstract:A topological index is a number related to the atomic index that allows quantitative structure-action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of synthetic mixes. The idea of the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials was set up in the substance diagram hypothesis in light of vertex degrees. These indices are valuable in the investigation of calming exercises of certain compound systems. In this paper, we computed the first and second Zagreb index, the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials of the line graph of wheel and ladder graphs by utilizing the idea of subdivision.

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On certain topological indices of the line graph of subdivision graphs

Cited by 41 publications

References 3 publications

Certain topological indices and polynomials for the semitotal-point graph and line graph of semitotal-point graph for Dutch windmill graph

Certain topological indices and polynomials for the semitotal-point graph and line graph of semitotal-point graph for Dutch windmill graph

Topological Indices of the Total Graph of Subdivision Graphs

Computing Topological Indices and Polynomials for Line Graphs

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