.. _cpp-graph/Automorphism:

**********************************************************
graph/Automorphism.hpp
**********************************************************
.. default-domain:: cpp
.. default-role:: cpp:expr

.. py:currentmodule:: mod
.. cpp:namespace:: mod


Class ``graph::Graph::Aut``
--------------------------------------------------------------------------------------------------------------------------------

.. class:: graph::Graph::Aut
    

    A class representing an automorphism of a :class:`Graph`.


Synopsis
^^^^^^^^

.. alias:: graph::Graph::Aut
    :maxdepth: 2
    :noroot:


Details
^^^^^^^

.. cpp:namespace-push:: graph::Graph::Aut

.. cpp:function:: Vertex operator[](Vertex v) const

    :returns: the image of the given vertex under the permutation.

.. cpp:namespace-pop::


Class ``graph::Graph::AutGroup``
--------------------------------------------------------------------------------------------------------------------------------

.. class:: graph::Graph::AutGroup
    

    A class representing the automorphism group of a :class:`Graph`.


Synopsis
^^^^^^^^

.. alias:: graph::Graph::AutGroup
    :maxdepth: 2
    :noroot:


Details
^^^^^^^

.. cpp:namespace-push:: graph::Graph::AutGroup

.. function:: AutGroup(std::shared_ptr<const Graph> g, LabelSettings labelSettings)

.. function:: Gens gens() const

    :returns: a range of the generators for the group.

.. cpp:namespace-pop::


Class ``graph::Graph::AutGroup::Gens``
---------------------------------------------------------------

.. class:: graph::Graph::AutGroup::Gens


    A random-access range of the generators for the automorphism group.