ON THE PROPERTIES OF THE ECCENTRIC SIGMA INDEX OF GRAPHS
Abstract
Let be a graph of order with vertices labeled as . Let be the degree of the vertex , for . The sigma index of , recently introduced, is defined as . In this paper, the sigma index of the eccentricity and connected graphs are computed. We apply some of our results to compute the eccentric sigma index of some special graph classes.
Fields of Study & Subjects
Graph theory and applications
Graph Labeling and Dimension Problems
Graph Theory and Algorithms
Publication details
- Journal / source
- Far East Journal of Applied Mathematics
- Volume
- 119
- Issue
- 1
- Pages
- 35–46
- Publication date
- 12 March 2026
- Language
- EN