# double_edge_swap¶

double_edge_swap(G, nswap=1, max_tries=100)[source]

Swap two edges in the graph while keeping the node degrees fixed.

A double-edge swap removes two randomly chosen edges u-v and x-y and creates the new edges u-x and v-y:

u--v            u  v
becomes  |  |
x--y            x  y


If either the edge u-x or v-y already exist no swap is performed and another attempt is made to find a suitable edge pair.

Parameters: G (graph) – An undirected graph nswap (integer (optional, default=1)) – Number of double-edge swaps to perform max_tries (integer (optional)) – Maximum number of attempts to swap edges G – The graph after double edge swaps. graph

Notes

Does not enforce any connectivity constraints.

The graph G is modified in place.