Stability of generalized Turán number for linear forests

Yisai Xue, Yichong Liu, Liying Kang

Given a graph $T$ and a family of graphs $\mathcal{F}$, the generalized Turán number of $\mathcal{F}$ is the maximum number of copies of $T$ in an $\mathcal{F}$-free graph on $n$ v…