Leavitt path algebra
= Leavitt path algebra
{wiki=Leavitt_path_algebra}
Leavitt path algebras are a class of algebras that arise from directed graphs (or quivers) and are named after the mathematician William G. Leavitt, who studied related structures in the context of rings. **Definition:** A Leavitt path algebra is constructed from a directed graph \\( E \\) and involves both paths in the graph and the concept of vertices and edges.