Sombor-index-like invariants of some graphs
Abstract
The Sombor index (SO) is a vertex-degree-based graph invariant, defined as the sum over all pairs of adjacent vertices of di2 + d2j , where di is the degree of the i-th vertex. It has been conceived using geometric considerations. Recently, a series of new SO-like degreebased graph invariants (denoted by SO1, SO2, ..., SO6) is taken into consideration, when the geometric background of several classical topological indices (Zagreb, Albertson) has considered. In this paper, we compute and study these new indices for some graphs, cactus chains and polymers.
Fields of Study & Subjects
Graph theory and applications
Graph Labeling and Dimension Problems
Complex Network Analysis Techniques
Publication details
- Journal / source
- Journal of Information and Optimization Sciences
- Publisher
- Taru Publications
- Volume
- 47
- Issue
- 1
- Pages
- 133–143
- Publication date
- 1 January 2026