3 problems

Let $G$ be a cycle of length $2\ell$ whose edges are colored with $h$ colors. Let $M_0$ and $M_1$ be the perfect matchings consisting of the even and odd edges, respectively, and l…

Let $Q_1,\ldots,Q_n$ be points and let $B_1,\ldots,B_n$ be edges of a convex hull, with each point matched to one edge and the resulting triangles considered as in the preceding he…

Let $G_n$ be a sequence of graphs admitting a graphon limit $\mathcal{G}$, with edge weights following a distribution of pseudo-dimension $q$. Suppose that there exists…