Deltoid
From Egres Open
Let G=(S,T;E) be a bipartite graph. The deltoid induced by (G,S,T) is the matroid on ground set [math]S \cup T[/math] whose bases are the sets whose symmetric difference with S induces a subgraph that has a perfect matching.
The dual of the deltoid induced by (G,S,T) is the deltoid induced by (G,T,S). Each deltoid is a transversal matroid.