# Topological indices based on topological distances in molecular graphs

@article{Balaban1983TopologicalIB, title={Topological indices based on topological distances in molecular graphs}, author={Alexandru T. Balaban}, journal={Pure and Applied Chemistry}, year={1983}, volume={55}, pages={199 - 206} }

Abstract

## 286 Citations

Some GAP programs for computing the topological indices

- Computer Science, Mathematics
- 2018

This paper introduces some GAP programs for computing well-known topological indices and shows how these programs can be used to solve the inequality of the following type: topological graph inequality.

A Survey on Graphs Extremal with Respect to Distance-Based Topological Indices

- Mathematics
- 2014

This survey outlines results on graphs extremal with respect to distance–based indices, with emphasis on the Wiener index, hyper–Wiener index, Harary index, Wiener polarity index, reciprocal…

Vertex degree-based topological indices of penta-chains using M-polynomial

- MathematicsInternational Journal of Advances in Engineering Sciences and Applied Mathematics
- 2019

AbstractChemical compounds that comprise of atoms and bonds are conceptualized as graphs shaped by edges and
vertices with the help of graph theory and topological indices. The purpose of…

Molecular Graph Matrices and Derived Structural Descriptors

- Chemistry
- 1997

Abstract A number of recently graph matrices encoding in various ways the topological information is presented. Four graph operators are used to compute 19 topological indices for a set of 306…

Degeneracy of Topologic Distance Descriptors for Cubic Molecular Graphs: Examples of Small Fullerenes

- MathematicsJ. Chem. Inf. Comput. Sci.
- 1997

The degeneracy of topological distance sum (DS) and distance degree sequence (DDS) of small fullerenes is analyzed and by using two previously demonstrated theorems it is possible to generate pairs of graphs with degenerated topological indices.

Chemical graphs with degenerate topological indices based on information on distances

- Mathematics
- 1993

Recently, four new types of vertex invariants, namelyu, v, x, andy, were defined on the basis of information on graph distances. They were combined to give four highly selective topological…

Novel Indices for the Topological Complexity of Molecules

- Mathematics
- 1997

Abstract The development of molecular complexity measures is reviewed. Two novel sets of indices termed topological complexities are introduced proceeding from the idea that topological complexity…

Mostar Index of Cycle-Related Structures

- MathematicsJournal of Chemistry
- 2022

A topological index is a numerical quantity associated with the molecular structure of a chemical compound. This number remains fixed with respect to the symmetry of a molecular graph. Diverse…

Combinatorial models and algorithms in chemistry. The expanded Wiener number—a novel topological index

- Chemistry
- 1990

An expanded form of the Wiener number is suggested for characterization of molecular graphs and structure‐property correlations. The simple, computer‐oriented method for counting of the novel index…

Design of topological indices. Part 4. Reciprocal distance matrix, related local vertex invariants and topological indices

- Chemistry
- 1993

A new molecular graph matrix, the reciprocal distance (RD) matrix, is defined. Its nondiagonal elements are equal to the reciprocals of the topological distances between the corresponding vertices,…

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