Improved Lower Bounds on the General Reduced Second Zagreb Index of Trees and Unicyclic Graphs

Nasrin Dehgardi, Sandi Klavžar, Mahdieh Azari

For a simple graph $\Gamma$ and a real number $\lambda$, the general reduced second Zagreb index is defined by the formula $$GR{M}_{\lambda }(\Gamma )=\sum _{ab\in E(\Gamma )}[({°}_{\Gamma }(a)+\lambda )({°}_{\Gamma }(b)+\lambda )].$$ A sharp lowe…