Maximum Flow ¶
Maximum Flow¶
This example shows how to construct a max flow on a directed graph with edge capacities using maxflow().
import igraph as ig
import matplotlib.pyplot as plt
# Generate the graph with its capacities
g = ig.Graph(
6,
[(3, 2), (3, 4), (2, 1), (4,1), (4, 5), (1, 0), (5, 0)],
directed=True
)
g.es["capacity"] = [7, 8, 1, 2, 3, 4, 5] # capacity of each edge
# Run the max flow
flow = g.maxflow(3, 0, capacity=g.es["capacity"])
print("Max flow:", flow.value)
print("Edge assignments:", flow.flow)
The received output is:
Max flow: 6.0
Edge assignments [1.0, 5.0, 1.0, 2.0, 3.0, 3.0, 3.0]
The Flow Graph¶