Journal of Mathematics

Topological Indices, and Applications of Graph Theory


Publishing date
01 Aug 2021
Status
Closed
Submission deadline
26 Mar 2021

1Bursa Uludag University, Bursa, Turkey

2Sungkyunkwan University, Suwon, Republic of Korea

3Selcuk University, Konya, Turkey

This issue is now closed for submissions.
More articles will be published in the near future.

Topological Indices, and Applications of Graph Theory

This issue is now closed for submissions.
More articles will be published in the near future.

Description

A topological graph index, also called a molecular descriptor, is a mathematical formula that can be applied to any graph which models some molecular structure. From this index, it is possible to analyse mathematical values and further investigate some physicochemical properties of a molecule. Therefore, it is an efficient method in avoiding expensive and time-consuming laboratory experiments.

Molecular descriptors play a significant role in mathematical chemistry, especially in quantitative structure-property relationship (QSPR), and quantitative structure-activity relationship (QSAR) investigations. An example of a molecular descriptor is a topological descriptor. Nowadays, there are numerous topological indices, some applied in chemistry. They can be classified by the structural properties of the graphs used for their calculation. For instance, there is the Hosoya index, calculated by counting non-incident edges in a graph. Furthermore, the Estrada index is based on the spectrum of the graph, the Randić connectivity index, and the Zagreb group indices are calculated using the degrees of vertices, etc. Perhaps the best known, and most widely used topological indice is the Wiener index which is based on the topological distance of vertices in the respective graph. It was defined and used by Harold Wiener in 1947, which helped him to compare the boiling points of some alkane isomers. Since then, over 3000 topological graph indices are registered in Chemical Data Bases. This research area is studied by mathematicians and chemists. There is a rapidly increasing interest in this topic, therefore topological graph indices are researched worldwide.

The aim of this Special Issue is to solicit original research articles focussing on topological graph indices, and applications of graph theory. We highly encourage submissions from researchers in the field of mathematical chemistry. Review articles discussing the state of the art are also welcome.

Potential topics include but are not limited to the following:

  • Molecular graphs
  • Topological graph indices
  • Chemical applications of graph indices
  • Mathematical properties of graph indices
  • Energy of graphs
  • Spectral graph theory
  • Graph matrices
  • Graph parameters
  • Derived graphs
  • Applications of graphs
  • Combinatorics
  • Labelling in graphs
  • Graph polynomials
  • Chromatic graph theory
  • Matching in graphs

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 5534444
  • - Research Article

The Sigma Coindex of Graph Operations

Yasar Nacaroglu
  • Special Issue
  • - Volume 2021
  • - Article ID 9983771
  • - Research Article

Affine Graphs and their Topological Indices

Abdurrahman Dayioglu
  • Special Issue
  • - Volume 2021
  • - Article ID 5528123
  • - Research Article

Time-Dependent Lagrangian Energy Systems on Supermanifolds with Graph Bundles

Cansel Aycan | Simge Şimşek
  • Special Issue
  • - Volume 2021
  • - Article ID 5510384
  • - Research Article

Some Indices over a New Algebraic Graph

Nurten Urlu Özalan
  • Special Issue
  • - Volume 2021
  • - Article ID 6630011
  • - Research Article

Line Graphs of Monogenic Semigroup Graphs

Nihat Akgunes | Yasar Nacaroglu | Sedat Pak
  • Special Issue
  • - Volume 2021
  • - Article ID 6689816
  • - Research Article

Reinforcement Number of a Graph with respect to Half-Domination

G. Muhiuddin | N. Sridharan | ... | M. E. Elnair
  • Special Issue
  • - Volume 2021
  • - Article ID 5515250
  • - Research Article

Total Roman -Reinforcement of Graphs

M. Kheibari | H. Abdollahzadeh Ahangar | ... | S. M. Sheikholeslami
  • Special Issue
  • - Volume 2021
  • - Article ID 6651220
  • - Research Article

On Mostar and Edge Mostar Indices of Graphs

Ali Ghalavand | Ali Reza Ashrafi | Mardjan Hakimi-Nezhaad
  • Special Issue
  • - Volume 2021
  • - Article ID 5511214
  • - Research Article

On Subtree Number Index of Generalized Book Graphs, Fan Graphs, and Wheel Graphs

Daoqiang Sun | Zhengying Zhao | ... | Yu Yang
  • Special Issue
  • - Volume 2021
  • - Article ID 6654228
  • - Research Article

Computing FGZ Index of Sum Graphs under Strong Product

Zhi-Ba Peng | Saira Javed | ... | Jia-Bao Liu
Journal of Mathematics
 Journal metrics
Acceptance rate22%
Submission to final decision43 days
Acceptance to publication32 days
CiteScore0.900
Impact Factor0.712
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