Discover87,371Open Problems in Mathematics

Conjecture. There exist an absolute constant $c\ge 1$ and an online algorithm such that, for every finite matroid $M$ and every choice of nonnegative weights, the algorithm selects…

Problem. Is every finite uniformly dense matroid of rank $3$ cyclically orderable?

Problem. Determine $\kappa$. In particular, is

Let $A$ and $B$ be poset games, with $B=2^n$ for some $n\in\mathbb{N}_0$, and suppose that $B$ is weakly-canonical. Let $A\otimes B$ be their lexicographic product, whose underlyin…

Let $\operatorname{sft}(n)$ denote the Syracuse falling time of an odd positive integer $n$. Large-number Syracuse falling-time conjecture. … for all odd $n\geq 2^{5000}$. This con…