ON RELATIONSHIP BETWEEN REFORMULATED SOMBOR AND OTHER VERTEX–DEGREE INDICES

Let G = (V,E), V = {v1, v2,..., vn}, E = {e1, e2,..., em}, be a simple connected graph with n ≥ 2 vertices and m edges, with vertex degree sequence (Formula presented.), and edge degree sequence (Formula presented.). The reformulated Sombor index is defined as (Formula presented.). We consider a relationship between reformulated Sombor index and some of the vertex–degree-based indices.