Mathematics
S. Filipovski
Abstract
In [13] Gutman introduced a novel graph invariant called Sombor index SO, defined via $sqrt{deg(u)^{2}+deg(v)^{2}}.$ In this paper we provide relations between Sombor index and some degree-based topological indices: Zagreb indices, Forgotten index and Randi' {c} index. Similar relations are established in the class of triangle-free graphs.
Citation format
FILIPOVSKI, S. Relations between sombor index and some degree-based topological indices. Iranian Journal of Mathematical Chemistry, 2021, 12: 19–26.