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}
}
  • A. Balaban
  • Published 1 January 1983
  • Chemistry
  • Pure and Applied Chemistry
Abstract 
View via Publisher
degruyter.com
286 Citations
Highly Influential Citations
5
Background Citations
42
Methods Citations
19
Results Citations
3

Figures and Tables from this paper

286 Citations

Some GAP programs for computing the topological indices
TLDR
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
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
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
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
TLDR
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
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
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
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
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
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,…
...
...

References

SHOWING 1-10 OF 32 REFERENCES
Information theoretic indices for characterization of chemical structures
Molecular connectivity in chemistry and drug research
Bull. Chem. Soc. Jp
  • Bull. Chem. Soc. Jp
  • 1971
J.Chem. Phys
  • J.Chem. Phys
  • 1975
Cmical Graph Theory
  • Cmical Graph Theory
J. Chem. Phye. j
  • J. Chem. Phye. j
  • 1947
Pur—. cell, G. E. Bass and J. M. Clyton, Strategy of Drug Design
  • Pur—. cell, G. E. Bass and J. M. Clyton, Strategy of Drug Design
  • 1971
Amer. Chern. Soc. J. Chem
  • Amer. Chern. Soc. J. Chem
  • 1963
Steric Effects in Drug De— £& (eds. M. Charton and I. Motoc
  • Steric Effects in Drug De— £& (eds. M. Charton and I. Motoc
J. Chem. Doc. J4 Tetrahedron. Tetrahedron
  • J. Chem. Doc. J4 Tetrahedron. Tetrahedron
  • 1974
...
...