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 2022
  • - Article ID 9992618
  • - Research Article

New Bounds on the Triple Roman Domination Number of Graphs

M. Hajjari | H. Abdollahzadeh Ahangar | ... | S. M. Sheikholeslami
  • Special Issue
  • - Volume 2021
  • - Article ID 5565146
  • - Research Article

On Omega Index and Average Degree of Graphs

Sadik Delen | Musa Demirci | ... | Ismail Naci Cangul
  • Special Issue
  • - Volume 2021
  • - Article ID 5529080
  • - Research Article

Reciprocal Status Index and Co-Index of Graphs

Veerebradiah Lokesha | Suvarna | ... | Ismail Naci Cangul
  • Special Issue
  • - Volume 2021
  • - Article ID 9984412
  • - Research Article

Sharp Bounds of First Zagreb Coindex for -Sum Graphs

Muhammad Javaid | Muhammad Ibraheem | ... | Jia-Bao Liu
  • Special Issue
  • - Volume 2021
  • - Article ID 5552202
  • - Research Article

Omega Index of Line and Total Graphs

Musa Demirci | Sadik Delen | ... | Ismail Naci Cangul
  • Special Issue
  • - Volume 2021
  • - Article ID 6621029
  • - Research Article

Computing the Permanent of the Laplacian Matrices of Nonbipartite Graphs

Xiaoxue Hu | Grace Kalaso
  • Special Issue
  • - Volume 2021
  • - Article ID 6675321
  • - Research Article

Introducing New Exponential Zagreb Indices for Graphs

Nihat Akgunes | Busra Aydin
  • Special Issue
  • - Volume 2021
  • - Article ID 5567663
  • - Research Article

Certain Distance-Based Topological Indices of Parikh Word Representable Graphs

Nobin Thomas | Lisa Mathew | ... | K. G. Subramanian
  • Special Issue
  • - Volume 2021
  • - Article ID 5516321
  • - Research Article

Locating and Multiplicative Locating Indices of Graphs with QSPR Analysis

Suha Wazzan | Anwar Saleh
  • Special Issue
  • - Volume 2021
  • - Article ID 5534444
  • - Research Article

The Sigma Coindex of Graph Operations

Yasar Nacaroglu
Journal of Mathematics
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Acceptance rate37%
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Acceptance to publication22 days
CiteScore0.500
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Impact Factor0.971
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