A greedoid and a matroid inspired by Bhargava's $p$-orderings

Darij Grinberg, Fedor Petrov

Consider a finite set $E$. Assume that each $e\in E$ has a "weight" $w\left(e\right)\in \mathbb{R}$ assigned to it, and any two distinct $e,f\in E$ have a "distance" $d \left(…