 Schreier coset graph

For $H\le G$ and a generating set $S$, the Schreier coset graph has vertices $Hg$ and a directed $s$-edge from $Hg$ to $Hgs$ for every $s\in S$. For a free group, this is the covering graph associated with $H$.

The Schreier coset graph is a mathematical concept arising in the field of group theory and is often used in the study of group actions and their combinatorial properties. Given a group \( G \) and a subgroup \( H \), the Schreier coset graph is a graph that visually represents the action of \( G \) on the left cosets of \( H \) in \( G \).