margulis_gabber_galil_graph

margulis_gabber_galil_graph(n, create_using=None)[source]

Return the Margulis-Gabber-Galil undirected MultiGraph on n^2 nodes.

The undirected MultiGraph is regular with degree 8. Nodes are integer pairs. The second-largest eigenvalue of the adjacency matrix of the graph is at most 5 sqrt{2}, regardless of n.

Parameters:
  • n (int) – Determines the number of nodes in the graph: n^2.
  • create_using (graph-like) – A graph-like object that receives the constructed edges. If None, then a MultiGraph instance is used.
Returns:

G – The constructed undirected multigraph.

Return type:

graph

Raises:

NetworkXError – If the graph is directed or not a multigraph.