Applications of matroid theory.

Matroid theory finds applications in computer science, most notably in the study of Greedy algorithms.

Of course, as with any abstraction, matroid theory enhances one's understanding of linear dependence and independence.

there are many applications from matroid structures and related topics in coding theory that leads to crypsoystem and making good definitions to working with them in related algebraic theorems.. for example relation betwean decomposible codes via matroid decomposition theprems and quasigroup methodes for explain M-codes...