GRAPH INVARIANTS BASED ON DISTANCE BETWEEN EDGES AND DOUBLE GRAPHS

Topological indices are numerical parameters of graph which characterize its topology and are invariant under graph isomorphism. They are applied in theoretical chemistry for the design of chemical compounds with certain physicochemical properties or biological activities. The Wiener index, hyper-Wi...

Full description

Saved in:
Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 14; no. 3; p. 886
Main Author Azari, Mahdieh
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.07.2024
Subjects
Algebraic topology
Analysis
Graph theory
Invariants
Topology
Iran
Online AccessGet full text

Cover

More Information
Summary:Topological indices are numerical parameters of graph which characterize its topology and are invariant under graph isomorphism. They are applied in theoretical chemistry for the design of chemical compounds with certain physicochemical properties or biological activities. The Wiener index, hyper-Wiener index, degree distance, and Gutman index are among the best-known distance-based topological indices with known applications in chemistry. In this paper, we study the edge version of these graph invariants for a collection of graphs named double graphs. Keywords: Distance between edges in graph, Topological index, Double graph. AMS Subject Classification: 05C12, 05C76.
ISSN:2146-1147