On Topological Indices for New Classes of Benes Network

Hussain, Aftab; Numan, Muhammad; Naz, Nafisa; Butt, Saad Ihsan; Aslam, Adnan; Fahad, Asfand

doi:10.1155/2021/6690053

Cited by 15 publications

(9 citation statements)

References 16 publications

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“…They determined complete randi ć, general total accessibility, first and second zagreb, first and second hyper zagreb, hyper zagreb atom bond and numerical indices for both the gathering of networks by considering the reason network as way Pn and k-standard graph Rk. They similarly gave express formulae for the ABC4 and GA5 indices of these networks with the reason Rk network [18].…”

Section: Literature Reviewmentioning

confidence: 99%

K-Banhatti Invariants Empowered Topological Investigation of Bridge Networks

Hamid¹,

Iqbal²,

Arif³

et al. 2022

Computers, Materials &Amp; Continua

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Any number that can be uniquely determined by a graph is called graph invariants. During the most recent twenty years' innumerable numerical graph invariants have been described and used for correlation analysis. In the fast and advanced environment of manufacturing of networks and other products which used different networks, no dependable assessment has been embraced to choose, how much these invariants are connected with a network graph or molecular graph. In this paper, it will talk about three distinct variations of bridge networks with great capability of expectation in the field of computer science, chemistry, physics, drug industry, informatics, and mathematics in setting with physical and synthetic constructions and networks, since K-Banhatti invariants are newly introduced and have various forecast characteristics for various variations of bridge graphs or networks. The review settled the topology of bridge graph/networks of three unique sorts with three types of K-Banhatti Indices. These concluded outcomes can be utilized for the modeling of interconnection networks of Personal computers (PC), networks like Local area network (LAN), Metropolitan area network (MAN) and Wide area network (WAN), the spine of internet and different networks/designs of PCs, power generation interconnection, bio-informatics and chemical structures.

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Section: Literature Reviewmentioning

confidence: 99%

K-Banhatti Invariants Empowered Topological Investigation of Bridge Networks

Hamid¹,

Iqbal²,

Arif³

et al. 2022

Computers, Materials &Amp; Continua

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“…The study of newly formed networks is always a fascinating topic. Using B(s), several novel networks such as HCB(s) and VCB(s) have been defined through identifications in [33] and further investigated in [34]. Furthermore, the ev-degree and the ve-degree of these structures were not investigated yet.…”

Section: Graphical Analysismentioning

confidence: 99%

On Some Ev-Degree and Ve-Degree Dependent Indices of Benes Network and營ts Derived Classes

Wang¹,

Arshad²,

Fahad³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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One of the most recent developments in the field of graph theory is the analysis of networks such as Butterfly networks, Benes networks, Interconnection networks, and David-derived networks using graph theoretic parameters. The topological indices (TIs) have been widely used as graph invariants among various graph theoretic tools. Quantitative structure activity relationships (QSAR) and quantitative structure property relationships (QSPR) need the use of TIs. Different structure-based parameters, such as the degree and distance of vertices in graphs, contribute to the determination of the values of TIs. Among other recently introduced novelties, the classes of ev-degree and ve-degree dependent TIs have been extensively explored for various graph families. The current research focuses on the development of formulae for different ev-degree and ve-degree dependent TIs for s− dimensional Benes network and certain networks derived from it. In the end, a comparison between the values of the TIs for these networks has been presented through graphical tools.

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“…us, it characterises the topology of a graph [20,21]. Topological indices analyse the physical, chemical, and biological characteristics of a synthetic framework [22,23]. Topological indices are essential in the field of chemistry and pharmacology, notably in nanomedicine.…”

Section: Introductionmentioning

confidence: 99%

Distance‐Based Topological Descriptors on Ternary Hypertree Networks

Xavier

Varghese

et al. 2022

Complexity

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Topological indices are numeric parameters which portray the topology of a subatomic structure. In QSAR/QSPR analysis, topological descriptors play a vital role to examine the topology of a network. An interconnection network is a structure whose components are connected physically according to some pattern. In this paper, an interconnection network, ternary hypertree, which is a structural combination of complete ternary tree and hypertree, is introduced. We have evaluated the topological descriptors grounded on the distances for the ternary hypertree. The analytical expressions for Wiener, different types of Szeged, and Mostar indices are determined.

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On Topological Indices for New Classes of Benes Network

Cited by 15 publications

References 16 publications

K-Banhatti Invariants Empowered Topological Investigation of Bridge Networks

K-Banhatti Invariants Empowered Topological Investigation of Bridge Networks

On Some Ev-Degree and Ve-Degree Dependent Indices of Benes Network and營ts Derived Classes

Distance‐Based Topological Descriptors on Ternary Hypertree Networks

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