Directed Acyclic Graph

This example demonstrates how to create a random directed acyclic graph (DAG), which is useful in a number of contexts including for Git commit history.

import igraph as ig
import matplotlib.pyplot as plt
import random

First, we set a random seed for reproducibility.

random.seed(0)

First, we generate a random undirected graph with a fixed number of edges, without loops.

g = ig.Graph.Erdos_Renyi(n=15, m=30, directed=False, loops=False)

Then we convert it to a DAG in place. This method samples DAGs with a given number of edges and vertices uniformly.

g.to_directed(mode="acyclic")

We can print out a summary of the DAG.

ig.summary(g)

IGRAPH D--- 15 30 --

Finally, we can plot the graph using the Sugiyama layout from igraph.Graph.layout_sugiyama():

fig, ax = plt.subplots()
ig.plot(
    g,
    target=ax,
    layout="sugiyama",
    vertex_size=15,
    vertex_color="grey",
    edge_color="#222",
    edge_width=1,
)
plt.show()