Generalization of New Degree Based Topological Indices of Silicate Network Graph

Topological indices are numerical parameters of a graph that characterize its topology and are usually graph invariant. In a QSAR/QSPR study, physicochemical properties and topological indices such as Randić, atom–bond connectivity (ABC), and geometric–arithmetic (GA) indices are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we study different interconnection networks and derive analytical closed results of the general Randić index (Rα(G)) for α = 1, [Formula: see text], –1, [Formula: see text] only, for dominating oxide network (DOX), dominating silicate network (DSL), and regular triangulene oxide network (RTOX). All of the studied interconnection networks in this paper are motivated by the molecular structure of a chemical compound, SiO4. We also compute the general first Zagreb, ABC, GA, ABC4, and GA5 indices and give closed formulae of these indices for these interconnection networks.

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Computing Some Degree-Based Topological Indices of Honeycomb Networks

Complexity ◽

10.1155/2022/2771059 ◽

2022 ◽

Vol 2022 ◽

pp. 1-13

Author(s):

Lili Gu ◽

Shamaila Yousaf ◽

Akhlaq Ahmad Bhatti ◽

Peng Xu ◽

Adnan Aslam

Keyword(s):

Chemical Structure ◽

Chemical Properties ◽

Chemical Substance ◽

Topological Indices ◽

Connectivity Index ◽

Silicate Network ◽

Zagreb Index ◽

First Order ◽

Second Zagreb Index ◽

Chain Silicate

A topological index is a numeric quantity related with the chemical composition claiming to correlate the chemical structure with different chemical properties. Topological indices serve to predict physicochemical properties of chemical substance. Among different topological indices, degree-based topological indices would be helpful in investigating the anti-inflammatory activities of certain chemical networks. In the current study, we determine the neighborhood second Zagreb index and the first extended first-order connectivity index for oxide network O X n , silicate network S L n , chain silicate network C S n , and hexagonal network H X n . Also, we determine the neighborhood second Zagreb index and the first extended first-order connectivity index for honeycomb network H C n .

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M-Polynomials and Topological Indices for Line Graphs of Chain Silicate Network and H-Naphtalenic Nanotubes

Journal of Mathematics ◽

10.1155/2021/5551825 ◽

2021 ◽

Vol 2021 ◽

pp. 1-11

Author(s):

Muhammad Irfan ◽

Hamood Ur Rehman ◽

Hassan Almusawa ◽

Saffina Rasheed ◽

Imran Abbas Baloch

Keyword(s):

Graph Theory ◽

Topological Index ◽

Chemical Properties ◽

Topological Indices ◽

Line Graphs ◽

Silicate Network ◽

Chemical Graph ◽

Chain Silicate

Graph theory has provided a very useful tool, called topological index, which is a number from the graph M with the property that every graph N isomorphic to M value of a topological index must be same for both M and N. Topological index is a descriptor in graph theory which is used to quantify the physio-chemical properties of the chemical graph. In this paper, we computed closed forms of M-polynomials for line graphs of H-naphtalenic nanotubes and chain silicate network. From M-polynomial, we obtained some topological indices based on degrees.

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Degree-Based Indices of Some Complex Networks

Journal of Mathematics ◽

10.1155/2021/5531357 ◽

2021 ◽

Vol 2021 ◽

pp. 1-16

Author(s):

Lei Ding ◽

Syed Ahtsham Ul Haq Bokhary ◽

Masood Ur Rehman ◽

Usman Ali ◽

Hirra Mubeen ◽

...

Keyword(s):

Graph Theory ◽

Complex Networks ◽

Topological Index ◽

Chemical Properties ◽

Topological Indices ◽

Mesh Network ◽

Silicate Network ◽

Physico Chemical ◽

Rhenium Trioxide ◽

Atom Bond

A topological index is a numeric quantity assigned to a graph that characterizes the structure of a graph. Topological indices and physico-chemical properties such as atom-bond connectivity ABC , Randić, and geometric-arithmetic index GA are of great importance in the QSAR/QSPR analysis and are used to estimate the networks. In this area of research, graph theory has been found of considerable use. In this paper, the distinct degrees and degree sums of enhanced Mesh network, triangular Mesh network, star of silicate network, and rhenium trioxide lattice are listed. The edge partitions of these families of networks are tabled which depend on the sum of degrees of end vertices and the sum of the degree-based edges. Utilizing these edge partitions, the closed formulae for some degree-based topological indices of the networks are deduced.

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Multiplicative Reverse Geometric-Arithmetic Indices and Arithmetic-Geometric of Silicate Network

Biointerface Research in Applied Chemistry ◽

10.33263/briac123.41924199 ◽

2021 ◽

Vol 12 (3) ◽

pp. 4192-4199

Keyword(s):

Topological Indices ◽

Silicate Network ◽

Mathematical Chemistry ◽

Points Of View

In mathematical chemistry, geometric-arithmetic and arithmetic-geometric indices are helpful from both theoretical and practical points of view. We defined two new topological indices, multiplicative reverse geometric-arithmetic and arithmetic-geometric indices, and found the same for some silicate networks.

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CASSION 012M - 133 -006 PANEL SERVICE PLATFORM CONSTRUCTION AND TECHNOLOGY DESIGN AND ENGINEERING

Высокие технологии и инновации в науке: сборник избранных статей Международной научной конференции (Санкт-Петербург, Июль 2020) ◽

10.37539/vt186.2020.39.74.016 ◽

2020 ◽

Author(s):

Ольга Валентиновна Кузнецова ◽

Варвара Геннадьевна Кузнецова

Keyword(s):

3D Model ◽

3D Modelling ◽

Network Graph ◽

Technology Design ◽

Service Platform ◽

Ship Structure ◽

Welding Technology ◽

Work Duration

В статье рассматривается процесс проектирования, 3D-моделирования, технологии сборки и сварки плоской судовой конструкции. Была создана 3D-модель секции, которая стала основой для ассоциативного чертежа. На основе действующих нормативных актов разработана технология сборки и сварки, рассчитана продолжительность и трудоемкость, построен сетевой график, описывающий процессы производства. The article presents the process of engineering, 3D-modelling, assembling and welding technology of a flat ship structure. A 3D-model of a section was created, which the associative drawing was based on. After the assembling and welding technology was designed according to the regulations and standards, the work duration and activity content was calculated. The network graph was plotted to illustrate the course of production.

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Acquisition of Social Network Graph Structure

SSRN Electronic Journal ◽

10.2139/ssrn.1862362 ◽

2011 ◽

Cited By ~ 1

Author(s):

Jason J. Jones

Keyword(s):

Social Network ◽

Graph Structure ◽

Network Graph

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Molecular Topological Properties of Alkylating Agents Based Anticancer Drug Candidates Via Some Ve-degree Topological Indices

Current Computer - Aided Drug Design ◽

10.2174/1573409915666190807145908 ◽

2020 ◽

Vol 16 (2) ◽

pp. 190-195 ◽

Cited By ~ 1

Author(s):

Süleyman Ediz ◽

Murat Cancan

Keyword(s):

Anticancer Drugs ◽

Anticancer Drug ◽

Alkylating Agents ◽

Topological Indices ◽

Pharmacological Properties ◽

Topological Properties ◽

Drug Candidates ◽

New Drug ◽

Atom Bond ◽

Dual Target

Background: Reckoning molecular topological indices of drug structures gives the data about the underlying topology of these drug structures. Novel anticancer drugs have been leading by researchers to produce ideal drugs. Materials and Methods: Pharmacological properties of these new drug agents explored by utilizing simulation strategies. Topological indices additionally have been utilized to research pharmacological properties of some drug structures. Novel alkylating agents based anticancer drug candidates and ve-degree molecular topological indices have been introduced recently. Results and Conclusion: In this study we calculate ve-degree atom-bond connectivity, harmonic, geometric-arithmetic and sum-connectivity molecular topological indices for the newly defined alkylating agents based dual-target anticancer drug candidates.

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On Certain Topological Indices of Titanium dioxide Nanosheet and Nanotube.

Nanoscience &Nanotechnology-Asia ◽

10.2174/2210681207666170616115148 ◽

2018 ◽

Vol 8 (2) ◽

pp. 309-316 ◽

Cited By ~ 1

Author(s):

S. Prabhu ◽

M. Arulperumjothi ◽

G. Murugan

Keyword(s):

Titanium Dioxide ◽

Topological Indices

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