Python networkx.edge_connectivity方法代碼示例

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_brandes_erlebach():
    # Figure 1 chapter 7: Connectivity
    # http://www.informatik.uni-augsburg.de/thi/personen/kammer/Graph_Connectivity.pdf
    G = nx.Graph()
    G.add_edges_from([(1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 6), (3, 4),
                      (3, 6), (4, 6), (4, 7), (5, 7), (6, 8), (6, 9), (7, 8),
                      (7, 10), (8, 11), (9, 10), (9, 11), (10, 11)])
    for flow_func in flow_funcs:
        kwargs = dict(flow_func=flow_func)
        assert_equal(3, local_edge_connectivity(G, 1, 11, **kwargs),
                     msg=msg.format(flow_func.__name__))
        assert_equal(3, nx.edge_connectivity(G, 1, 11, **kwargs),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, local_node_connectivity(G, 1, 11, **kwargs),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, nx.node_connectivity(G, 1, 11, **kwargs),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, nx.edge_connectivity(G, **kwargs), # node 5 has degree 2
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, nx.node_connectivity(G, **kwargs),
                     msg=msg.format(flow_func.__name__)) 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_white_harary_1():
    # Figure 1b white and harary (2001)
    # # http://eclectic.ss.uci.edu/~drwhite/sm-w23.PDF
    # A graph with high adhesion (edge connectivity) and low cohesion
    # (vertex connectivity)
    G = nx.disjoint_union(nx.complete_graph(4), nx.complete_graph(4))
    G.remove_node(7)
    for i in range(4, 7):
        G.add_edge(0, i)
    G = nx.disjoint_union(G, nx.complete_graph(4))
    G.remove_node(G.order() - 1)
    for i in range(7, 10):
        G.add_edge(0, i)
    for flow_func in flow_funcs:
        assert_equal(1, nx.node_connectivity(G, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(3, nx.edge_connectivity(G, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__)) 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_directed_edge_connectivity():
    G = nx.cycle_graph(10, create_using=nx.DiGraph()) # only one direction
    D = nx.cycle_graph(10).to_directed() # 2 reciprocal edges
    for flow_func in flow_funcs:
        assert_equal(1, nx.edge_connectivity(G, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(1, local_edge_connectivity(G, 1, 4, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(1, nx.edge_connectivity(G, 1, 4, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, nx.edge_connectivity(D, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, local_edge_connectivity(D, 1, 4, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, nx.edge_connectivity(D, 1, 4, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__)) 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def _assert_local_cc_edge_connectivity(G, ccs_local, k, memo):
    """
    tests properties of k-edge-connected components

    the local edge connectivity between each pair of nodes in the the original
    graph should be no less than k unless the cc is a single node.
    """
    for cc in ccs_local:
        if len(cc) > 1:
            # Strategy for testing a bit faster: If the subgraph has high edge
            # connectivity then it must have local connectivity
            C = G.subgraph(cc)
            connectivity = nx.edge_connectivity(C)
            if connectivity < k:
                # Otherwise do the brute force (with memoization) check
                _all_pairs_connectivity(G, cc, k, memo)


# Helper function 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_graph_from_pr_2053():
    G = nx.Graph()
    G.add_edges_from([
        ('A', 'B'), ('A', 'D'), ('A', 'F'), ('A', 'G'),
        ('B', 'C'), ('B', 'D'), ('B', 'G'), ('C', 'D'),
        ('C', 'E'), ('C', 'Z'), ('D', 'E'), ('D', 'F'),
        ('E', 'F'), ('E', 'Z'), ('F', 'Z'), ('G', 'Z')])
    for flow_func in flow_funcs:
        kwargs = dict(flow_func=flow_func)
        # edge disjoint paths
        edge_paths = list(nx.edge_disjoint_paths(G, 'A', 'Z', **kwargs))
        assert_true(are_edge_disjoint_paths(G, edge_paths), msg=msg.format(flow_func.__name__))
        assert_equal(
            nx.edge_connectivity(G, 'A', 'Z'),
            len(edge_paths),
            msg=msg.format(flow_func.__name__),
        )
        # node disjoint paths
        node_paths = list(nx.node_disjoint_paths(G, 'A', 'Z', **kwargs))
        assert_true(are_node_disjoint_paths(G, node_paths), msg=msg.format(flow_func.__name__))
        assert_equal(
            nx.node_connectivity(G, 'A', 'Z'),
            len(node_paths),
            msg=msg.format(flow_func.__name__),
        ) 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_karate():
    G = nx.karate_club_graph()
    for flow_func in flow_funcs:
        kwargs = dict(flow_func=flow_func)
        # edge disjoint paths
        edge_dpaths = list(nx.edge_disjoint_paths(G, 0, 33, **kwargs))
        assert_true(are_edge_disjoint_paths(G, edge_dpaths), msg=msg.format(flow_func.__name__))
        assert_equal(
            nx.edge_connectivity(G, 0, 33),
            len(edge_dpaths),
            msg=msg.format(flow_func.__name__),
        )
        # node disjoint paths
        node_dpaths = list(nx.node_disjoint_paths(G, 0, 33, **kwargs))
        assert_true(are_node_disjoint_paths(G, node_dpaths), msg=msg.format(flow_func.__name__))
        assert_equal(
            nx.node_connectivity(G, 0, 33),
            len(node_dpaths),
            msg=msg.format(flow_func.__name__),
        ) 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_brandes_erlebach():
    # Figure 1 chapter 7: Connectivity
    # http://www.informatik.uni-augsburg.de/thi/personen/kammer/Graph_Connectivity.pdf
    G = nx.Graph()
    G.add_edges_from([(1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 6), (3, 4),
                      (3, 6), (4, 6), (4, 7), (5, 7), (6, 8), (6, 9), (7, 8),
                      (7, 10), (8, 11), (9, 10), (9, 11), (10, 11)])
    for flow_func in flow_funcs:
        kwargs = dict(flow_func=flow_func)
        assert_equal(3, local_edge_connectivity(G, 1, 11, **kwargs),
                     msg=msg.format(flow_func.__name__))
        assert_equal(3, nx.edge_connectivity(G, 1, 11, **kwargs),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, local_node_connectivity(G, 1, 11, **kwargs),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, nx.node_connectivity(G, 1, 11, **kwargs),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, nx.edge_connectivity(G, **kwargs),  # node 5 has degree 2
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, nx.node_connectivity(G, **kwargs),
                     msg=msg.format(flow_func.__name__)) 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_directed_edge_connectivity():
    G = nx.cycle_graph(10, create_using=nx.DiGraph())  # only one direction
    D = nx.cycle_graph(10).to_directed()  # 2 reciprocal edges
    for flow_func in flow_funcs:
        assert_equal(1, nx.edge_connectivity(G, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(1, local_edge_connectivity(G, 1, 4, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(1, nx.edge_connectivity(G, 1, 4, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, nx.edge_connectivity(D, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, local_edge_connectivity(D, 1, 4, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(2, nx.edge_connectivity(D, 1, 4, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__)) 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def is_k_edge_connected(G, k):
    """
    Tests to see if a graph is k-edge-connected

    See Also
    --------
    is_locally_k_edge_connected

    Example
    -------
    >>> G = nx.barbell_graph(10, 0)
    >>> is_k_edge_connected(G, k=1)
    True
    >>> is_k_edge_connected(G, k=2)
    False
    """
    if k < 1:
        raise ValueError('k must be positive, not {}'.format(k))
    # First try to quickly determine if G is not k-edge-connected
    if G.number_of_nodes() < k + 1:
        return False
    elif any(d < k for n, d in G.degree()):
        return False
    else:
        # Otherwise perform the full check
        if k == 1:
            return nx.is_connected(G)
        elif k == 2:
            return not nx.has_bridges(G)
        else:
            # return nx.edge_connectivity(G, cutoff=k) >= k
            return nx.edge_connectivity(G) >= k 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def random_k_edge_connected_graph(size, k, p=.1, rng=None):
    """
    Super hacky way of getting a random k-connected graph

    Example:
        >>> # ENABLE_DOCTEST
        >>> import plottool_ibeis as pt
        >>> from ibeis.algo.graph.nx_utils import *  # NOQA
        >>> size, k, p = 25, 3, .1
        >>> rng = ut.ensure_rng(0)
        >>> gs = []
        >>> for x in range(4):
        >>>     G = random_k_edge_connected_graph(size, k, p, rng)
        >>>     gs.append(G)
        >>> ut.quit_if_noshow()
        >>> pnum_ = pt.make_pnum_nextgen(nRows=2, nSubplots=len(gs))
        >>> fnum = 1
        >>> for g in gs:
        >>>     pt.show_nx(g, fnum=fnum, pnum=pnum_())
    """
    import sys
    for count in it.count(0):
        seed = None if rng is None else rng.randint(sys.maxsize)
        # Randomly generate a graph
        g = nx.fast_gnp_random_graph(size, p, seed=seed)
        conn = nx.edge_connectivity(g)
        # If it has exactly the desired connectivity we are one
        if conn == k:
            break
        # If it has more, then we regenerate the graph with fewer edges
        elif conn > k:
            p = p / 2
        # If it has less then we add a small set of edges to get there
        elif conn < k:
            # p = 2 * p - p ** 2
            # if count == 2:
            aug_edges = list(k_edge_augmentation(g, k))
            g.add_edges_from(aug_edges)
            break
    return g 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_edge_cutset_random_graphs():
    for flow_func in flow_funcs:
        for i in range(3):
            G = nx.fast_gnp_random_graph(50, 0.25)
            if not nx.is_connected(G):
                ccs = iter(nx.connected_components(G))
                start = next(ccs)[0]
                G.add_edges_from( (start,c[0]) for c in ccs )
            cutset = nx.minimum_edge_cut(G, flow_func=flow_func)
            assert_equal(nx.edge_connectivity(G), len(cutset),
                         msg=msg.format(flow_func.__name__))
            G.remove_edges_from(cutset)
            assert_false(nx.is_connected(G), msg=msg.format(flow_func.__name__)) 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_white_harary_2():
    # Figure 8 white and harary (2001)
    # # http://eclectic.ss.uci.edu/~drwhite/sm-w23.PDF
    G = nx.disjoint_union(nx.complete_graph(4), nx.complete_graph(4))
    G.add_edge(0, 4)
    # kappa <= lambda <= delta
    assert_equal(3, min(nx.core_number(G).values()))
    for flow_func in flow_funcs:
        assert_equal(1, nx.node_connectivity(G, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(1, nx.edge_connectivity(G, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__)) 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_complete_graphs():
    for n in range(5, 20, 5):
        for flow_func in flow_funcs:
            G = nx.complete_graph(n)
            assert_equal(n-1, nx.node_connectivity(G, flow_func=flow_func),
                         msg=msg.format(flow_func.__name__))
            assert_equal(n-1, nx.node_connectivity(G.to_directed(),
                                                   flow_func=flow_func),
                         msg=msg.format(flow_func.__name__))
            assert_equal(n-1, nx.edge_connectivity(G, flow_func=flow_func),
                         msg=msg.format(flow_func.__name__))
            assert_equal(n-1, nx.edge_connectivity(G.to_directed(),
                                                   flow_func=flow_func),
                         msg=msg.format(flow_func.__name__)) 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_petersen():
    G = nx.petersen_graph()
    for flow_func in flow_funcs:
        assert_equal(3, nx.node_connectivity(G, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(3, nx.edge_connectivity(G, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__)) 

# 需要導入模塊: import networkx [as 別名]
# 或者: from networkx import edge_connectivity [as 別名]
def test_tutte():
    G = nx.tutte_graph()
    for flow_func in flow_funcs:
        assert_equal(3, nx.node_connectivity(G, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))
        assert_equal(3, nx.edge_connectivity(G, flow_func=flow_func),
                     msg=msg.format(flow_func.__name__))