Maximizing general first Zagreb and sum-connectivity indices for unicyclic graphs with given independence number

Abstract

In this paper it is shown that in the class of unicyclic graphs of order n and independence number s, the spider graph S_Δ(n, s) is the unique graph maximizing general first Zagreb index ⁰R_α(G) for α > 1 and general sum-connectivity index χ_α(G) for α ≥ 1.