Greedoid

A greedoids is a combinatorial structure that generalizes the concept of matroids. It is defined as a pair \( (E, I) \), where \( E \) is a finite set and \( I \) is a collection of subsets of \( E \) that satisfies certain properties. Specifically, a collection \( I \) must adhere to the following: 1. **Non-empty**: The collection \( I \) must contain the empty set.