Matroids-M2

A matroid is a combinatorial structure abstracting the notion of (linear algebraic, graph-theoretic) independence. This package provides methods to perform computations with matroids in Macaulay2 (>= v1.5). Functionality includes:

• user-friendly creation of matroids from a matrix, graph, or ideal
• converting between various equivalent representations such as bases/circuits/flats/hyperplanes
• operations such as union, relaxation, deletion/contraction
• testing of isomorphism and minors
• computing Tutte polynomials and Chow rings

and more!

Installation

This package is distributed with Macaulay2, since version 1.11. To manually install the latest version:

• Download the source code (right-click, save link as -> "Matroids.m2")
• Open a Terminal window, and cd to the download location if necessary
• Start Macaulay2, and type installPackage "Matroids"
• Once installed, one can load the package (from any location) with needsPackage "Matroids". Documentation can be viewed either in Terminal/Emacs with help Matroids, or in a browser with viewHelp Matroids