Warning

This documents an unmaintained version of NetworkX. Please upgrade to a maintained version and see the current NetworkX documentation.

networkx.generators.line.inverse_line_graph

inverse_line_graph(G)[source]

Returns the inverse line graph of graph G.

If H is a graph, and G is the line graph of H, such that H = L(G). Then H is the inverse line graph of G.

Not all graphs are line graphs and these do not have an inverse line graph. In these cases this generator returns a NetworkXError.

Parameters:

G (graph) – A NetworkX Graph
Returns:

H – The inverse line graph of G.
Return type:

graph
Raises:
  • NetworkXNotImplemented – If G is directed or a multigraph
  • NetworkXError – If G is not a line graph

Notes

This is an implementation of the Roussopoulos algorithm.

References

  • Roussopolous, N, “A max {m, n} algorithm for determining the graph H from its line graph G”, Information Processing Letters 2, (1973), 108–112.