 ##  [Matroid](/matroid) 

  ##  [Matroid](https://mathlogic.quantumdictionary.io/matroid-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A finitary combinatorial structure (E, I) on a finite ground set E with a family I of independent subsets satisfying axioms (heredity and exchange) that abstract linear independence in vector spaces and cycle-freeness in graphs.