Nešetřil–Ossona de Mendez limit-modeling conjecture for nowhere-dense classes

Let ${\cal C}$ be a nowhere-dense class of graphs. A sequence of graphs from ${\cal C}$ is first order convergent if the limiting frequency of every first-order property exists. A limit modeling is a modeling representing the limiting first-order probabilities of the sequence. Nešetřil–Ossona de Mendez conjecture. Every first order convergent sequence of graphs from ${\cal C}$ has a limit modeling. This conjecture addresses the existence of analytic representations for first-order limits of sparse graphs; the source presents it as a central open problem for nowhere-dense classes.