+
    )i                     b    R t ^ RIt^ RIHtHt R.t]! R4      ]P                  R 4       4       tR# )zSemiconnectedness.N)not_implemented_forpairwiseis_semiconnected
undirectedc                  a \        V 4      ^ 8X  d   \        P                  ! R4      h\        P                  ! V 4      '       g   R# \        P                  ! V 4      o\
        ;QJ d<    V3R l\        \        P                  ! S4      4       4       F  '       d   K   R# 	  R# ! V3R l\        \        P                  ! S4      4       4       4      # )a=  Returns True if the graph is semiconnected, False otherwise.

A graph is semiconnected if and only if for any pair of nodes, either one
is reachable from the other, or they are mutually reachable.

This function uses a theorem that states that a DAG is semiconnected
if for any topological sort, for node $v_n$ in that sort, there is an
edge $(v_i, v_{i+1})$. That allows us to check if a non-DAG `G` is
semiconnected by condensing the graph: i.e. constructing a new graph `H`
with nodes being the strongly connected components of `G`, and edges
(scc_1, scc_2) if there is a edge $(v_1, v_2)$ in `G` for some
$v_1 \in scc_1$ and $v_2 \in scc_2$. That results in a DAG, so we compute
the topological sort of `H` and check if for every $n$ there is an edge
$(scc_n, scc_{n+1})$.

Parameters
----------
G : NetworkX graph
    A directed graph.

Returns
-------
semiconnected : bool
    True if the graph is semiconnected, False otherwise.

Raises
------
NetworkXNotImplemented
    If the input graph is undirected.

NetworkXPointlessConcept
    If the graph is empty.

Examples
--------
>>> G = nx.path_graph(4, create_using=nx.DiGraph())
>>> print(nx.is_semiconnected(G))
True
>>> G = nx.DiGraph([(1, 2), (3, 2)])
>>> print(nx.is_semiconnected(G))
False

See Also
--------
is_strongly_connected
is_weakly_connected
is_connected
is_biconnected
z-Connectivity is undefined for the null graph.Fc              3   J   <"   T F  w  rSP                  W4      x  K  	  R # 5i)N)has_edge).0uvHs   &  j/var/www/html/photoedit/myenv/lib/python3.14/site-packages/networkx/algorithms/components/semiconnected.py	<genexpr>#is_semiconnected.<locals>.<genexpr>G   s!     M,LDAqzz!,Ls    #T)lennxNetworkXPointlessConceptis_weakly_connectedcondensationallr   topological_sort)Gr   s   &@r   r   r   	   s    h 1v{));
 	
 !!!$$
A3MHR5H5H5K,LM33M3M3MHR5H5H5K,LMMM    )	__doc__networkxr   networkx.utilsr   r   __all___dispatchabler    r   r   <module>r      s?      8
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