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sagemath
GitHub Repository: sagemath/sagesmc
 Path: blob/master/src/sage/matroids/matroids_catalog.py
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r"""

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Catalog of matroids

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A module containing constructors for several common matroids.

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A list of all matroids in this module is available via tab

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completion. Let ``<tab>`` indicate pressing the tab key.  So begin by typing

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``matroids.<tab>`` to see the various constructions available. Many special

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matroids can be accessed from the submenu ``matroids.named_matroids.<tab>``.

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To create a custom matroid using a variety of inputs, see the function

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:func:`Matroid() <sage.matroids.constructor.Matroid>`.

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- Parametrized matroid constructors

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    - :func:`matroids.AG <sage.matroids.catalog.AG>`

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    - :func:`matroids.CompleteGraphic <sage.matroids.catalog.CompleteGraphic>`

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    - :func:`matroids.PG <sage.matroids.catalog.PG>`

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    - :func:`matroids.Uniform <sage.matroids.catalog.Uniform>`

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    - :func:`matroids.Wheel <sage.matroids.catalog.Wheel>`

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    - :func:`matroids.Whirl <sage.matroids.catalog.Whirl>`

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- Named matroids (``matroids.named_matroids.<tab>``)

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    - :func:`matroids.named_matroids.AG23minus <sage.matroids.catalog.AG23minus>`

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    - :func:`matroids.named_matroids.AG32prime <sage.matroids.catalog.AG32prime>`

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    - :func:`matroids.named_matroids.BetsyRoss <sage.matroids.catalog.BetsyRoss>`

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    - :func:`matroids.named_matroids.Block_9_4 <sage.matroids.catalog.Block_9_4>`

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    - :func:`matroids.named_matroids.Block_10_5 <sage.matroids.catalog.Block_10_5>`

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    - :func:`matroids.named_matroids.D16 <sage.matroids.catalog.D16>`

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    - :func:`matroids.named_matroids.ExtendedBinaryGolayCode <sage.matroids.catalog.ExtendedBinaryGolayCode>`

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    - :func:`matroids.named_matroids.ExtendedTernaryGolayCode <sage.matroids.catalog.ExtendedTernaryGolayCode>`

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    - :func:`matroids.named_matroids.F8 <sage.matroids.catalog.F8>`

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    - :func:`matroids.named_matroids.Fano <sage.matroids.catalog.Fano>`

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    - :func:`matroids.named_matroids.J <sage.matroids.catalog.J>`

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    - :func:`matroids.named_matroids.K33dual <sage.matroids.catalog.K33dual>`

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    - :func:`matroids.named_matroids.L8 <sage.matroids.catalog.L8>`

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    - :func:`matroids.named_matroids.N1 <sage.matroids.catalog.N1>`

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    - :func:`matroids.named_matroids.N2 <sage.matroids.catalog.N2>`

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    - :func:`matroids.named_matroids.NonFano <sage.matroids.catalog.NonFano>`

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    - :func:`matroids.named_matroids.NonPappus <sage.matroids.catalog.NonPappus>`

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    - :func:`matroids.named_matroids.NonVamos <sage.matroids.catalog.NonVamos>`

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    - :func:`matroids.named_matroids.NotP8 <sage.matroids.catalog.NotP8>`

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    - :func:`matroids.named_matroids.O7 <sage.matroids.catalog.O7>`

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    - :func:`matroids.named_matroids.P6 <sage.matroids.catalog.P6>`

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    - :func:`matroids.named_matroids.P7 <sage.matroids.catalog.P7>`

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    - :func:`matroids.named_matroids.P8 <sage.matroids.catalog.P8>`

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    - :func:`matroids.named_matroids.P8pp <sage.matroids.catalog.P8pp>`

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    - :func:`matroids.named_matroids.P9 <sage.matroids.catalog.P9>`

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    - :func:`matroids.named_matroids.Pappus <sage.matroids.catalog.Pappus>`

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    - :func:`matroids.named_matroids.Q6 <sage.matroids.catalog.Q6>`

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    - :func:`matroids.named_matroids.Q8 <sage.matroids.catalog.Q8>`

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    - :func:`matroids.named_matroids.Q10 <sage.matroids.catalog.Q10>`

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    - :func:`matroids.named_matroids.R6 <sage.matroids.catalog.R6>`

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    - :func:`matroids.named_matroids.R8 <sage.matroids.catalog.R8>`

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    - :func:`matroids.named_matroids.R9A <sage.matroids.catalog.R9A>`

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    - :func:`matroids.named_matroids.R9B <sage.matroids.catalog.R9B>`

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    - :func:`matroids.named_matroids.R10 <sage.matroids.catalog.R10>`

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    - :func:`matroids.named_matroids.R12 <sage.matroids.catalog.R12>`

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    - :func:`matroids.named_matroids.S8 <sage.matroids.catalog.S8>`

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    - :func:`matroids.named_matroids.T8 <sage.matroids.catalog.T8>`

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    - :func:`matroids.named_matroids.T12 <sage.matroids.catalog.T12>`

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    - :func:`matroids.named_matroids.TernaryDowling3 <sage.matroids.catalog.TernaryDowling3>`

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    - :func:`matroids.named_matroids.Terrahawk <sage.matroids.catalog.Terrahawk>`

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    - :func:`matroids.named_matroids.TicTacToe <sage.matroids.catalog.TicTacToe>`

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    - :func:`matroids.named_matroids.Vamos <sage.matroids.catalog.Vamos>`

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"""

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# Do not add code to this file, only imports.

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# Workaround for help in the notebook (needs parentheses in this file)

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# user-accessible:

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from sage.matroids.catalog import AG, CompleteGraphic, PG, Uniform, Wheel, Whirl

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from sage.matroids import named_matroids

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