3 problems

Let $n=2^k$ and $c=\frac{n}{4}-1$. Define … Regarded as a collection of vertices of $Y_n$, this is an independent set. Galliard's conjecture. The independent set $\mathcal F_n$ is…

Newman's conjecture. For every multiple of $4$, the lower-bound value satisfies

Frankl's conjecture. For every $n\equiv 0\pmod{4}$,