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Updated: Aug 13, 2025
06:35
Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
Published on: February 15, 2016
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Comparative Study of Planar Octahedron Molecular Structure via Eccentric Invariants
Zheng-Qing Chu1, Haidar Ali2, Didar Abdulkhaleq Ali3
1General Education Department, Anhui Xinhua University, Hefei 230000, China.
Molecules (Basel, Switzerland)
|January 21, 2023
Summary
This study explores chemical graph theory by analyzing the topological properties of m-dimensional planar octahedron networks. Researchers computed various eccentricity-based topological indices to understand vertex distances within these networks.
Area of Science:
- Chemical graph theory
- Network analysis
- Mathematical chemistry
Background:
- Chemical graph theory utilizes molecular graphs to represent chemical structures.
- Topological indices quantify chemical structure properties, correlating them with physicochemical attributes and biological activity.
- Planar networks offer a simplified yet informative model for complex molecular structures.
Purpose of the Study:
- To investigate the topological properties of m-dimensional planar octahedron networks.
- To compute several eccentricity-based topological indices for these networks.
- To establish relationships between network structure and vertex distances.
Main Methods:
- Application of chemical graph theory principles.
- Analysis of planar octahedron network structures in m dimensions.
- Computation of total eccentricity, average eccentricity, Zagreb eccentricity, geometric arithmetic eccentricity, and atom bond connectivity eccentricity indices.
Main Results:
- The study successfully computed key topological indices for the specified network.
- Detailed calculations provide numerical values for vertex distances within the planar octahedron network.
- The findings offer insights into the structural characteristics of these networks.
Conclusions:
- The computed topological indices offer a quantitative description of the m-dimensional planar octahedron network.
- This research contributes to understanding the relationship between network topology and its inherent properties.
- The study provides a foundation for further investigations into the chemical and physical attributes of such networks.
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