def simple_wgraph():
    """Return a simple weighted graph with edges."""
    from weighted_graph import WeightedGraph
    wg = WeightedGraph()
    for edge in SIMPLE_WGRAPH:
        wg.add_edge(edge[0], edge[1], edge[2])
    return wg
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def cyclic():
    """Create simple cyclic graph."""
    from weighted_graph import WeightedGraph
    empty_wg = WeightedGraph()
    empty_wg.add_edge('A', 'B', 5)
    empty_wg.add_edge('B', 'C', 5)
    empty_wg.add_edge('C', 'A', 5)
    return empty_wg
def make_graph_three():
    my_graph = WeightedGraph()
    my_graph.add_node('a')
    my_graph.add_node('b')
    my_graph.add_node('c')
    my_graph.add_edge('a', 'c')
    my_graph.add_edge('b', 'a')
    return my_graph
def make_graph():
    g = WeightedGraph()
    g.add_edge('a', 'b')
    g.add_edge('b', 'c')
    g.add_edge('c', 'f')
    g.add_edge('g', 'f')
    g.add_edge('a', 'd')
    g.add_edge('d', 'e')
    g.add_edge('e', 'a')
    return g
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def test_prims_lazy_mst():
    w_graph = WeightedGraph(4)
    w_graph.add_edge(1, 0, -10)
    w_graph.add_edge(1, 2, -35)
    w_graph.add_edge(0, 2, -15)
    w_graph.add_edge(0, 3, -12)
    w_graph.add_edge(1, 3, -11)
    w_graph.add_edge(2, 3, -30)
    prims_lazy = PrimsLazyMst(w_graph)
    prims_lazy.get_mst()
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def non_ref():
    """Create simple non referential graph."""
    from weighted_graph import WeightedGraph
    empty_wg = WeightedGraph()
    empty_wg.add_edge('A', 'B', 5)
    empty_wg.add_edge('A', 'C', 5)
    empty_wg.add_edge('B', 'D', 5)
    empty_wg.add_edge('B', 'E', 5)
    empty_wg.add_edge('C', 'F', 5)
    empty_wg.add_edge('C', 'G', 5)
    return empty_wg
def test_kruskal():
    w_graph = WeightedGraph(4)
    w_graph.add_edge(1, 0, -10)
    w_graph.add_edge(1, 2, -35)
    w_graph.add_edge(0, 2, -15)
    w_graph.add_edge(0, 3, -12)
    w_graph.add_edge(1, 3, -11)
    w_graph.add_edge(2, 3, -30)
    '''
    w_graph.add_edge(4,6,-1)
    w_graph.add_edge(3,8,-2)
    w_graph.add_edge(8,7,-5)
    w_graph.add_edge(6,8,-8)
    w_graph.add_edge(7,6,-17)
    '''

    k = KruskalMst(w_graph)
    k.get_mst()
    '''
def make_graph_cycle():
    g = WeightedGraph()
    g.add_edge('a', 'b')
    g.add_edge('b', 'c')
    g.add_edge('c', 'a')
    return g
    lowest_cost = math.inf
    lowest_cost_node = None
    for node in costs:
        cost = costs[node]
        if node not in visited and cost < lowest_cost:
            lowest_cost = cost
            lowest_cost_node = node
    return lowest_cost_node


g = WeightedGraph()

g.add_node('A')
g.add_node('B')
g.add_node('C')
g.add_node('D')
g.add_node('E')
g.add_node('F')

g.add_edge('A', 'B', 5)
g.add_edge('A', 'C', 2)
g.add_edge('B', 'C', 8)
g.add_edge('B', 'D', 4)
g.add_edge('B', 'E', 2)
g.add_edge('C', 'E', 7)
g.add_edge('D', 'E', 6)
g.add_edge('D', 'F', 3)
g.add_edge('E', 'F', 1)

dijkstra_1(g, 'A')