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

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.

scholarly journals Computing Discrete Adriatic Indices of Probabilistic Neural Network

2020 ◽  
Vol 13 (5) ◽  
pp. 1149-1161
Author(s):  
T Deepika ◽  
V. Lokesha
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Topological Index ◽  
Probabilistic Neural Network ◽  
Topological Indices ◽  
Probabilistic Neural Networks ◽  
Mathematical Chemistry ◽  
International Academy

A Topological index is a numeric quantity which characterizes the whole structure of a graph. Adriatic indices are also part of topological indices, mainly it is classified into two namely extended variables and discrete adriatic indices, especially, discrete adriatic indices are analyzed on the testing sets provided by the International Academy of Mathematical Chemistry (IAMC) and it has been shown that they have good presaging substances in many compacts. This contrived attention to compute some discrete adriatic indices of probabilistic neural networks.

Some new topological indices of silicate network via M-polynomial

2020 ◽  
Vol 23 (6) ◽  
pp. 1157-1171
Author(s):  
Murat Cancan ◽  
Deeba Afzal ◽  
Sabir Hussain ◽  
Ayesha Maqbool ◽  
Farkhanda Afzal
Keyword(s):  
Topological Indices ◽  
Silicate Network

On topological indices of poly oxide, poly silicate, DOX, and DSL networks

2015 ◽  
Vol 93 (7) ◽  
pp. 730-739 ◽  
Author(s):  
Abdul Qudair Baig ◽  
Muhammad Imran ◽  
Haidar Ali
Keyword(s):  
Molecular Structure ◽  
Graph Theory ◽  
Physicochemical Properties ◽  
Interconnection Networks ◽  
Chemical Compounds ◽  
Topological Indices ◽  
Silicate Network ◽  
Graph Invariant ◽  
Qspr Study ◽  
Atom Bond

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.

scholarly journals Computing Some Degree-Based Topological Indices of Honeycomb Networks

Complexity ◽  
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 .

scholarly journals Degree Sequence of Graph Operator for some Standard Graphs

2020 ◽  
Vol 5 (2) ◽  
pp. 99-108
Author(s):  
◽  
P. S Ranjini ◽  
V. Lokesha ◽  
Sandeep Kumar
Keyword(s):  
Degree Sequence ◽  
Topological Indices ◽  
Vertex Degree ◽  
Mathematical Chemistry

AbstractTopological indices play a very important role in the mathematical chemistry. The topological indices are numerical parameters of a graph. The degree sequence is obtained by considering the set of vertex degree of a graph. Graph operators are the ones which are used to obtain another broader graphs. This paper attempts to find degree sequence of vertex–F join operation of graphs for some standard graphs.

scholarly journals Generalization of New Degree Based Topological Indices of Silicate Network Graph

2021 ◽  
Vol 1724 (1) ◽  
pp. 012034
Author(s):  
P. Selvarani ◽  
K. Dhanalakshm ◽  
J. Irudaya Monica Catherine
Keyword(s):  
Topological Indices ◽  
Silicate Network ◽  
Network Graph

scholarly journals Neighborhood M-Polynomial of Crystallographic Structures

2020 ◽  
Vol 11 (2) ◽  
pp. 9372-9381
Keyword(s):  
Cuprous Oxide ◽  
Topological Indices ◽  
Crystallographic Structure ◽  
Face Centered Cubic ◽  
Mathematical Chemistry ◽  
Fcc Lattice ◽  
The Face ◽  
Crystallographic Structures ◽  
Face Centered

The mathematical chemistry is wealthy, having tools such as polynomials and functions that can predict the properties of compounds. The M-polynomial is one of them which yields degree-based topological indices. In this work, we define the neighborhood M-polynomial to obtain neighborhood degree-based topological indices. Further, we compute some neighborhood degree-based topological indices of the face-centered cubic (fcc) lattice and the crystallographic structure of cuprous oxide (〖Cu〗_2 O) using the neighborhood M-polynomial approach. Also, the results are shown graphically.

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

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.

scholarly journals Zagreb Connection Indices of Two Dendrimer Nanostars

2019 ◽  
Vol 27 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Nisar Fatima ◽  
Akhlaq Ahmad Bhatti ◽  
Akbar Ali ◽  
Wei Gao
Keyword(s):  
Molecular Structure ◽  
Physicochemical Properties ◽  
Chemical Compounds ◽  
Topological Indices ◽  
First Zagreb Index ◽  
Zagreb Index ◽  
Zagreb Indices ◽  
Mathematical Chemistry ◽  
Octane Isomers ◽  
The First Zagreb Index

Abstract It is well known fact that several physicochemical properties of chemical compounds are closely related to their molecular structure. Mathematical chemistry provides a method to predict the aforementioned properties of compounds using topological indices. The Zagreb indices are among the most studied topological indices. Recently, three modified versions of the Zagreb indices were proposed independently in [Ali, A.; Trinajstić, N. A novel/old modification of the first Zagreb index, arXiv:1705.10430 [math.CO] 2017; Mol. Inform. 2018, 37, 1800008] and [Naji, A. M.; Soner, N. D.; Gutman, I. On leap Zagreb indices of graphs, Commun. Comb. Optim. 2017, 2, 99–117], which were named as the Zagreb connection indices and the leap Zagreb indices, respectively. In this paper, we check the chemical applicability of the newly considered Zagreb connection indices on the set of octane isomers and establish general expressions for calculating these indices of two well-known dendrimer nanostars.

scholarly journals Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Aqsa Sattar ◽  
Muhammad Javaid ◽  
Ebenezer Bonyah
Keyword(s):  
Graph Theory ◽  
Physicochemical Properties ◽  
Topological Index ◽  
Molecular Graph ◽  
Topological Indices ◽  
Zagreb Indices ◽  
Mathematical Chemistry ◽  
Chemical Structures ◽  
And Mathematics

The field of graph theory is broadly growing and playing a remarkable role in cheminformatics, mainly in chemistry and mathematics in developing different chemical structures and their physicochemical properties. Mathematical chemistry provides a platform to study these physicochemical properties with the help of topological indices (TIs). A topological index (TI) is a function that connects a numeric number to each molecular graph. Zagreb indices (ZIs) are the most studied TIs. In this paper, we establish general expressions to calculate the connection-based multiplicative ZIs, namely, first multiplicative ZIs, second multiplicative ZIs, third multiplicative ZIs, and fourth multiplicative ZIs, of two renowned dendrimer nanostars. The defined expressions just depend on the step of growth of these dendrimers. Moreover, we have compared our calculated for both type of dendrimers with each other.

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