Abstract
Let G be a graph with vertex set V (G) and edge set E(G). Denote by dG(u) the degree of a vertex u ∈ V (G). The Sombor index of G is defined as SO(G) = Puv∈E(G)pd2u + d2v, whereas, the inverse sum indeg (ISI) index is defined as ISI(G) = Puv∈E(G) dduu+ddvv . In this paper, we compute the bounds in terms of maximum degree, minimum degree, order and size of the original graphs G and H for Sombor and ISI indices of several graph operations like corona product, cartesian product, strong product, composition and join of graphs.
| Original language | English |
|---|---|
| Pages (from-to) | 785-798 |
| Number of pages | 14 |
| Journal | Communications in Combinatorics and Optimization |
| Volume | 9 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2024 |
Keywords
- Sombor index
- cartesian product
- corona product
- graph operations
- inverse sum indeg index
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Control and Optimization
Fingerprint
Dive into the research topics of 'Bounds on sombor index and inverse sum indeg (ISI) index of graph operations'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS