scholarly journals ON THE INVARIANT OF NEW DEGREE-BASED TOPOLOGICAL INDICES OF SILICATE CHAIN GRAPH

2019 ◽  
pp. 1-14
Author(s):  
Rachanna Kanabur ◽  
S. K. Giregol ◽  
Basavaraj M. Koujalagi ◽  
Edake Yogesh Sidaraya
Keyword(s):  
Chemical Compound ◽  
Topological Indices ◽  
Chain Graph ◽  
Undirected Graphs ◽  
Silicate Chain

Throughout this paper simple and undirected graphs are considered. Let G = (V,E) be such a graph. The structure of a chemical compound can be represented by a graph whose vertex and edge specify the atom and bonds respectively. In this paper we compute certain topological indices of silicate chain.

scholarly journals ON COMPUTATION OF NEW DEGREE-BASED TOPOLOGICAL INDICES OF SILICATE CHAIN GRAPH

2019 ◽  
pp. 14-34
Author(s):  
Rachanna Kanabur ◽  
S.K. Giregol ◽  
Anand Jirli ◽  
Iranna M. Chanal
Keyword(s):  
Organic Molecules ◽  
Topological Indices ◽  
Pharmacological Properties ◽  
Chain Graph ◽  
Physico Chemical ◽  
Silicate Chain

The Arithmetic-Geometric index (AG1 index), SK index, SK1 index, SK2 indices of a graph G was introduced by V. S. Shigehalli and R. R. Kanabur. These topological indices explain the modeling of various physico-chemical, biological and pharmacological properties of organic molecules in chemistry and explains studies of various results on Silicate Chain Graph.

Comparative Study of Valency-Based Topological Indices for Tetrahedral Sheets of Clay Minerals

2021 ◽  
Vol 18 ◽  
Author(s):  
Hassan Raza ◽  
Muhammad Faisal Nadeem ◽  
Ali Ahmad ◽  
Muhammad Ahsan Asim ◽  
Muhammad Azeem
Keyword(s):  
Pure Sciences ◽  
Comparative Study ◽  
Clay Minerals ◽  
Chemical Compound ◽  
Topological Indices ◽  
Natural Phenomena ◽  
Chemical Graphs ◽  
Degree Of A Vertex ◽  
Long Time

: Intercapillary research in mathematics and other pure sciences areas has always helped humanity quantify natural phenomena. This article also contributes to which valency-based topological indices are implemented on tetrahedral sheets of clay minerals. These indices have been used for a long time and are considered the most powerful tools to quantify chemical graphs. The atoms in the chemical compound and the bonds between the atoms are depicted as the graph’s vertices and edges, respectively. The valency (or degree) of a vertex in a graph is the number of edges incident to that vertex. In this article, various degree-based indices and their modifications are determined to check each types’ significance.

scholarly journals M-Polynomials And Topological Indices Of Zigzag And Rhombic Benzenoid Systems

2018 ◽  
Vol 16 (1) ◽  
pp. 73-78 ◽  
Author(s):  
Ashaq Ali ◽  
Waqas Nazeer ◽  
Mobeen Munir ◽  
Shin Min Kang
Keyword(s):  
Closed Form ◽  
Significant Role ◽  
Chemical Compound ◽  
Molecular Graph ◽  
Topological Indices ◽  
Molecular Structures

AbstractM-polynomial of different molecular structures helps to calculate many topological indices. This polynomial is a new idea and its beauty is the wealth of information it contains about the closed forms of degree-based topological indices of molecular graph G of the structure. It is a well-known fact that topological indices play significant role in determining properties of the chemical compound [1, 2, 3, 4]. In this article, we computed the closed form of M-polynomial of zigzag and rhombic benzenoid systemsbecause of their extensive usages in industry. Moreover we give graphs of M-polynomials and their relations with the parameters of structures.

scholarly journals On the zagreb polynomials of benzenoid systems

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 734-740 ◽  
Author(s):  
Young Chel Kwun ◽  
Manzoor Ahmad Zahid ◽  
Waqas Nazeer ◽  
Ashaq Ali ◽  
Maqbool Ahmad ◽  
...  
Keyword(s):  
Significant Role ◽  
Chemical Compound ◽  
Chemical Compounds ◽  
Topological Indices ◽  
Algebraic Polynomials

AbstractTopological indices play significant role in determining properties of chemical compound. Algebraic polynomials help to compute topological indices of studied chemical compounds. Benzenoid systems are used mainly as an intermediate to make other chemicals. In this report we aim to compute Zagreb polynomials of zigzag, rhombic, triangular, hourglass and jagged-rectangle benzenoid systems.

scholarly journals Irregularity Measures for Benzene Ring Embedded in P-Type Surface

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Yun Liu ◽  
Aysha Siddiqa ◽  
Yu-Ming Chu ◽  
Muhammad Azam ◽  
Muhammad Asim Raza Basra ◽  
...  
Keyword(s):  
Physicochemical Properties ◽  
Benzene Ring ◽  
Chemical Compound ◽  
Topological Index ◽  
Chemical Compounds ◽  
Topological Indices ◽  
Single Number ◽  
P Type

A topological index is an important tool in predicting physicochemical properties of a chemical compound. Topological indices help us to assign a single number to a chemical compound. Drugs and other chemical compounds are frequently demonstrated as different polygonal shapes, trees, graphs, etc. In this paper, we will compute irregularity indices for the benzene ring embedded in a P-type surface BRp and the simple bounded dual of the benzene ring embedded in a P-type surface SBRp.

scholarly journals The Topological Indices of the Non-commuting Graph for Symmetric Groups

2020 ◽  
pp. 1-5
Author(s):  
Nur Idayu Alimon ◽  
Nor Haniza Sarmin ◽  
Ahmad Erfanian
Keyword(s):  
Symmetric Group ◽  
Chemical Compound ◽  
Molecular Graph ◽  
Symmetric Groups ◽  
Wiener Index ◽  
Topological Indices ◽  
Zagreb Index ◽  
Commuting Graph ◽  
Central Elements ◽  
Vertex Set

Topological indices are the numerical values that can be calculated from a graph and it is calculated based on the molecular graph of a chemical compound. It is often used in chemistry to analyse the physical properties of the molecule which can be represented as a graph with a set of vertices and edges. Meanwhile, the non-commuting graph is the graph of vertex set whose vertices are non-central elements and two distinct vertices are joined by an edge if they do not commute. The symmetric group, denoted as S_n, is a set of all permutation under composition. In this paper, two of the topological indices, namely the Wiener index and the Zagreb index of the non-commuting graph for symmetric groups of order 6 and 24 are determined. Keywords: Wiener index; Zagreb index; non-commuting graph; symmetric groups

WEIGHTED MOSTAR INDICES OF CERTAIN GRAPHS

2021 ◽  
Vol 10 (9) ◽  
pp. 3093-3111
Author(s):  
P. Kandan ◽  
S. Subramanian ◽  
P. Rajesh
Keyword(s):  
Graph Theory ◽  
Chemical Compound ◽  
Molecular Graph ◽  
Topological Indices ◽  
Chemical Graph ◽  
Chemical Graph Theory ◽  
And Mathematics

Chemical graph theory is a mixture of chemistry and mathematics both play an important role in chemical graph theory. Chemistry provides a chemical compound and graph theory transform this chemical compound into a molecular graph, which are associated with some numerical values these values are known as topological indices. In this study we consider the weighted modification of new bond-additive Mostar indices that appear to provide quantitative measures of peripheral shapes of molecules. We have computed the Additively Weighted Mostar Index and Multiplicatively Weighted Mostar Index for Conical and Generalized gear graph.

scholarly journals General Fifth M- Zagreb Polynomials of the TUC4C8(R)[p, q] 2D-Lattice and its Derived Graphs

2020 ◽  
Vol 10 (1) ◽  
pp. 1738-1747
Keyword(s):  
Chemical Compound ◽  
Molecular Graph ◽  
Vital Role ◽  
Topological Indices ◽  
Line Graphs ◽  
Topological Properties ◽  
Zagreb Index ◽  
Chemical Graph ◽  
Zagreb Indices ◽  
Physical Chemical

A molecular graph or a chemical graph is a graph related to the structure of a chemical compound. The topological indices play a vital role in understanding the physical, chemical, and topological properties of the respective compound. ln this article, we discuss the computation of the degree-based topological indices, namely - the fifth M-Zagreb indices and their polynomials, fifth hyper M-Zagreb indices and their polynomials, general fifth M-Zagreb indices and their polynomials, third Zagreb index and it is polynomial for the TUC_4 C_8 (R)[p,q] lattice, its subdivision, and para-line graphs.

On the Certain Topological Indices of Titania Nanotube TiO2[m, n]

2017 ◽  
Vol 72 (7) ◽  
pp. 647-654 ◽  
Author(s):  
M. Javaid ◽  
Jia-Bao Liu ◽  
M. A. Rehman ◽  
Shaohui Wang
Keyword(s):  
Chemical Compound ◽  
Topological Index ◽  
Molecular Graph ◽  
Topological Indices ◽  
Zagreb Index ◽  
Zagreb Indices ◽  
Mathematical Expressions ◽  
Titania Nanotube ◽  
Physical Features ◽  
Atom Bond

AbstractA numeric quantity that characterises the whole structure of a molecular graph is called the topological index that predicts the physical features, chemical reactivities, and boiling activities of the involved chemical compound in the molecular graph. In this article, we give new mathematical expressions for the multiple Zagreb indices, the generalised Zagreb index, the fourth version of atom-bond connectivity (ABC4) index, and the fifth version of geometric-arithmetic (GA5) index of TiO2[m, n]. In addition, we compute the latest developed topological index called by Sanskruti index. At the end, a comparison is also included to estimate the efficiency of the computed indices. Our results extended some known conclusions.

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