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- Title
PI index of bicyclic graphs.
- Authors
Chithrabhanu, Manju Sankaramalil; Somasundaram, Kanagasabapathi
- Abstract
The PI index of a graph G is given by PI(G) = Σe∈E(G) (|V (G)|−NG(e)), where NG(e) is the number of equidistant vertices for the edge e. Various topological indices of bicyclic graphs have already been calculated. In this paper, we obtained the exact value of the PI index of bicyclic graphs. We also explore the extremal graphs among all bicyclic graphs with respect to the PI index. Furthermore, we calculate the PI index of a cactus graph and determine the extremal values of the PI index among cactus graphs.
- Subjects
GRAPHIC methods; GEOMETRIC vertices; INDEXES; GEOMETRY; MATHEMATICS
- Publication
Communications in Combinatorics & Optimization, 2024, Vol 9, Issue 3, p425
- ISSN
2538-2128
- Publication type
Article
- DOI
10.22049/cco.2023.27817.1360