Extremal construction conjecture for generalized Ramsey–Turán numbers
Let t>s≥3t>s\ge 3t>s≥3. For t≤2s−1t\le 2s-1t≤2s−1, let H(n,s,t)\mathcal{H}(n,s,t)H(n,s,t) be the family of graphs from the stated construction: partition the vertex set into V1∪⋯∪VsV_1\cup\cdots\cup V_sV1∪⋯∪Vs, use an extrem…