passagemath-combinat

====================================================================================================== passagemath: Algebraic combinatorics, combinatorial representation theory

About SageMath

"Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB"

Copyright (C) 2005-2024 The Sage Development Team

https://www.sagemath.org

SageMath fully supports all major Linux distributions, recent versions of macOS, and Windows (Windows Subsystem for Linux).

See https://doc.sagemath.org/html/en/installation/index.html for general installation instructions.

About this pip-installable source distribution

This pip-installable source distribution passagemath-combinat is a distribution of a part of the Sage library. It provides a small subset of the modules of the Sage library ("sagelib", sagemath-standard).

What is included

• Enumerative Combinatorics <https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/enumerated_sets.html#sage-combinat-enumerated-sets>: Partitions, Tableaux <https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/catalog_partitions.html>

• Combinatorics on Words <https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/words/all.html#sage-combinat-words-all>, Free Monoids <https://doc.sagemath.org/html/en/reference/monoids/index.html>, Automatic Semigroups <https://doc.sagemath.org/html/en/reference/monoids/sage/monoids/automatic_semigroup.html>_

• Symmetric Functions <https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/sf/all.html#sage-combinat-sf-all>, other Algebras with combinatorial bases <https://doc.sagemath.org/html/en/reference/algebras/index.html>

• see https://github.com/passagemath/passagemath/blob/main/pkgs/sagemath-combinat/MANIFEST.in

Examples

A quick way to try it out interactively::

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-combinat[test]" ipython

In [1]: from sage.all__sagemath_combinat import *

In [2]: RowStandardTableaux([3,2,1]).cardinality()
Out[2]: 60

Available as extras, from other distribution packages

• passagemath-graphs <https://pypi.org/project/passagemath-graphs>_: Graphs, posets, finite state machines, combinatorial designs, incidence structures, quivers

• passagemath-modules <https://pypi.org/project/passagemath-modules>_: Modules and algebras, root systems, coding theory

• passagemath-polyhedra <https://pypi.org/project/passagemath-polyhedra>_: Polyhedra, lattice points, hyperplane arrangements

Development

::

$ git clone --origin passagemath https://github.com/passagemath/passagemath.git
$ cd passagemath
passagemath $ ./bootstrap
passagemath $ python3 -m venv combinat-venv
passagemath $ source combinat-venv/bin/activate
(combinat-venv) passagemath $ pip install -v -e pkgs/sagemath-combinat