Relations between Sombor Index and some Degree-Based Topological Indices

نویسندگان

1 Famnit, University of Primorska, Glagoljaška 8 Koper, Slovenia

doi
10.22052/ijmc.2021.240385.1533
چکیده

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.