On four Sombor-index-like graph invariants of chemical graphs with a given order, number of edges and pendent vertices
Year: 2025
Type: article
Abstract: Recently, Gutman constructed six novel graph invariants in view of geometric arguments and defined them as Sombor-index-like graph invariants, denoted by S1O, S2O,???, S6O. Compared with some popular and commonly used indices, nearly all these six graph invariants have high accuracy in predicting physical and chemical properties. Therefore, in this article, we obtain a lower bound on four Sombor-index-like graph invariants (S1O, S2O, S5O and S6O) for all chemical (n, m, k)-graphs (chemical graphs of order n having m edges and k pendent vertices), and characterize those chemical (n, m, k)-graphs achieving the extremal value.
Source: Filomat
DOI: 10.2298/fil2504279d
Authors: Jianwei Du, Xiaoling Sun, Yinzhen Mei, Lei Zhang
Institution: North University of China
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412754284