matroid

noun

matroid

noun

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

1

Combinatorics, Mathematics, Sciences 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

Entry derived from the Wiktionary, under licence CC BY-SA 4.0 — list of authors.