1
|
|
2
|
Zhao D, Zahid MA, Irfan R, Arshad M, Fahad A, Ahmad Z, Li L. Banhatti, revan and hyper-indices of silicon carbide Si 2C 3-III[ n, m]. OPEN CHEM 2021. [DOI: 10.1515/chem-2020-0151] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Abstract
In recent years, several structure-based properties of the molecular graphs are understood through the chemical graph theory. The molecular graph
G
G
of a molecule consists of vertices and edges, where vertices represent the atoms in a molecule and edges represent the chemical bonds between these atoms. A numerical quantity that gives information related to the topology of the molecular graphs is called a topological index. Several topological indices, contributing to chemical graph theory, have been defined and vastly studied. Recent inclusions in the class of the topological indices are the K-Banhatti indices. In this paper, we established the precise formulas for the first and second K-Banhatti, modified K-Banhatti, K-hyper Banhatti, and hyper Revan indices of silicon carbide
Si
2
C
3
{{\rm{Si}}}_{2}{{\rm{C}}}_{3}
-
III
[
n
,
m
]
{\rm{III}}\left[n,m]
. In addition, we present the graphical analysis along with the comparison of these indices for
Si
2
C
3
{{\rm{Si}}}_{2}{{\rm{C}}}_{3}
-
III
[
n
,
m
]
{\rm{III}}\left[n,m]
.
Collapse
Affiliation(s)
- Dongming Zhao
- School of Automation, Wuhan University of Technology , Hubei Wuhan 430070 , China
| | - Manzoor Ahmad Zahid
- Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus , Sahiwal 57000 , Pakistan
| | - Rida Irfan
- Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus , Sahiwal 57000 , Pakistan
| | - Misbah Arshad
- Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus , Sahiwal 57000 , Pakistan
| | - Asfand Fahad
- Department of Mathematics, COMSATS University Islamabad, Vehari Campus , Vehari 61100 , Pakistan
| | - Zahid Ahmad
- Department of Mathematics, The University of Lahore, Pakpattan Campus , Pakpattan 57400 , Pakistan
| | - Li Li
- College of Computer and Communication Engineering, China University of Petroleum , Qingdao 266555 , China
| |
Collapse
|
3
|
Topological aspects of 2D structures of trans- Pd(NH2)S lattice and a metal-organic superlattice. ARAB J CHEM 2021. [DOI: 10.1016/j.arabjc.2020.102963] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
|
4
|
Abstract
Polymers play a key role in our daily lives [...]
Collapse
|
5
|
Abstract
Irregularity indices are usually used for quantitative characterization of the topological structures of non-regular graphs. In numerous problems and applications, especially in the fields of chemistry and material engineering, it is useful to be aware of the irregularity of a molecular structure. Furthermore, the evaluation of the irregularity of graphs is valuable not only for quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR) studies but also for various physical and chemical properties, including entropy, enthalpy of vaporization, melting and boiling points, resistance, and toxicity. In this paper, we will restrict our attention to the computation and comparison of the irregularity measures of different classes of dendrimers. The four irregularity indices which we are going to investigate are σ irregularity index, the irregularity index by Albertson, the variance of vertex degrees, and the total irregularity index.
Collapse
|