
    wg                         d Z ddlZg dZej                  d        Zej                  d        Zej                  d        Zy)z8
Functions for identifying isolate (degree zero) nodes.
    N)
is_isolateisolatesnumber_of_isolatesc                 *    | j                  |      dk(  S )a-  Determines whether a node is an isolate.

    An *isolate* is a node with no neighbors (that is, with degree
    zero). For directed graphs, this means no in-neighbors and no
    out-neighbors.

    Parameters
    ----------
    G : NetworkX graph

    n : node
        A node in `G`.

    Returns
    -------
    is_isolate : bool
       True if and only if `n` has no neighbors.

    Examples
    --------
    >>> G = nx.Graph()
    >>> G.add_edge(1, 2)
    >>> G.add_node(3)
    >>> nx.is_isolate(G, 2)
    False
    >>> nx.is_isolate(G, 3)
    True
    r   degree)Gns     `/home/mcse/projects/flask/flask-venv/lib/python3.12/site-packages/networkx/algorithms/isolate.pyr   r   
   s    < 88A;!    c                 0    d | j                         D        S )a  Iterator over isolates in the graph.

    An *isolate* is a node with no neighbors (that is, with degree
    zero). For directed graphs, this means no in-neighbors and no
    out-neighbors.

    Parameters
    ----------
    G : NetworkX graph

    Returns
    -------
    iterator
        An iterator over the isolates of `G`.

    Examples
    --------
    To get a list of all isolates of a graph, use the :class:`list`
    constructor::

        >>> G = nx.Graph()
        >>> G.add_edge(1, 2)
        >>> G.add_node(3)
        >>> list(nx.isolates(G))
        [3]

    To remove all isolates in the graph, first create a list of the
    isolates, then use :meth:`Graph.remove_nodes_from`::

        >>> G.remove_nodes_from(list(nx.isolates(G)))
        >>> list(G)
        [1, 2]

    For digraphs, isolates have zero in-degree and zero out_degre::

        >>> G = nx.DiGraph([(0, 1), (1, 2)])
        >>> G.add_node(3)
        >>> list(nx.isolates(G))
        [3]

    c              3   2   K   | ]  \  }}|d k(  s|  yw)r   N ).0r
   ds      r   	<genexpr>zisolates.<locals>.<genexpr>V   s     /$!QQA/s   r   r	   s    r   r   r   +   s    V 0!((*//r   c                 8    t        d t        |       D              S )a\  Returns the number of isolates in the graph.

    An *isolate* is a node with no neighbors (that is, with degree
    zero). For directed graphs, this means no in-neighbors and no
    out-neighbors.

    Parameters
    ----------
    G : NetworkX graph

    Returns
    -------
    int
        The number of degree zero nodes in the graph `G`.

    c              3       K   | ]  }d   yw)   Nr   )r   vs     r   r   z%number_of_isolates.<locals>.<genexpr>k   s     &Qq&s   )sumr   r   s    r   r   r   Y   s    $ &(1+&&&r   )__doc__networkxnx__all___dispatchabler   r   r   r   r   r   <module>r      sd    
:  @ *0 *0Z ' 'r   