Lorentzian polynomials and log-concavity of the independence polynomials of graphs

Lily Li Liu, Hongyue Tang

In this paper, we first construct two graphs $\mathcal{F}(l,m,t,s)$ and ${\mathcal{G}}_4(l,m,t,s)$. Then we introduce the graph ${\mathcal{F}}_n(l,m,t,s)$ and the operator $E_{\mathcal…