matroid

English

Etymology

From matrix +‎ -oid. They were so named by Hassler Whitney in 1935 in an article titled “On the abstract properties of linear dependence”.

Noun

matroid (plural matroids)

1. (combinatorics) A structure that captures the essence of a notion of "independence" that generalizes linear independence in vector spaces and acyclicality in graphs.

   A matroid can be defined in terms of bases. A matroid consists of a ground set as well as a set of bases which is a nonempty subset of the power set of the ground set.

Derived terms

• antimatroid
• matroidal
• polymatroid

Translations

Translations

• Finnish: matroidi
• French: matroïde (fr) m
• Italian: matroide m