def spanning_1d_chain(length):
    """
    Generate a linear chain with auxiliary nodes for spanning cluster detection

    Parameters
    ----------

    length : int
       Number of nodes in the chain, excluding the auxiliary nodes.

    Returns
    -------

    networkx.Graph
       A linear chain graph with auxiliary nodes for spanning cluster detection

    See Also
    --------

    sample_states : spanning cluster detection

    """
    ret = nx.grid_graph(dim=[int(length + 2)])

    ret.node[0]['span'] = 0
    ret[0][1]['span'] = 0
    ret.node[length + 1]['span'] = 1
    ret[length][length + 1]['span'] = 1

    return ret
def spanning_1d_chain(length):
    """
    Generate a linear chain with auxiliary nodes for spanning cluster detection

    Parameters
    ----------

    length : int
       Number of nodes in the chain, excluding the auxiliary nodes.

    Returns
    -------

    networkx.Graph
       A linear chain graph with auxiliary nodes for spanning cluster detection

    See Also
    --------

    sample_states : spanning cluster detection

    """
    ret = nx.grid_graph(dim=[int(length + 2)])

    ret.node[0]['span'] = 0
    ret[0][1]['span'] = 0
    ret.node[length + 1]['span'] = 1
    ret[length][length + 1]['span'] = 1

    return ret
def spanning_1d_chain ( length ) : ret = nx . grid_graph ( dim = [ int ( length + 2 ) ] ) ret . node [ 0 ] [ 'span' ] = 0 ret [ 0 ] [ 1 ] [ 'span' ] = 0 ret . node [ length + 1 ] [ 'span' ] = 1 ret [ length ] [ length + 1 ] [ 'span' ] = 1 return ret
Generate a linear chain with auxiliary nodes for spanning cluster detection

    Parameters
    ----------

    length : int
       Number of nodes in the chain, excluding the auxiliary nodes.

    Returns
    -------

    networkx.Graph
       A linear chain graph with auxiliary nodes for spanning cluster detection

    See Also
    --------

    sample_states : spanning cluster detection
Generate a linear chain with auxiliary nodes for spanning cluster detection