contract edge of a graph
Contract(G, e, mul)
edge of the graph
(optional) equation of the form multigraph=true or false
The Contract command contracts the specified edge of a graph. By default, all the loops and multiple edges are removed. By setting multigraph=true, the loops and multiple edges are preserved and the output is a weighted graph.
To contract multiple edges in a graph, use ContractSubgraph or use the foldl command.
G ≔ CompleteGraph⁡4
G≔Graph 1: an undirected graph with 4 vertices and 6 edge(s)
Graph 2: an undirected graph with 3 vertices and 3 edge(s)
Graph 3: an undirected multigraph with 3 vertices, 5 edge(s), and 1 self-loop(s)
P ≔ PetersenGraph⁡
P≔Graph 4: an undirected graph with 10 vertices and 15 edge(s)
Contract the five edges connecting the inner star to the outer pentagon to show K5.
G ≔ foldl⁡Contract,P,1,6,2,9,3,7,4,10,5,8
G≔Graph 5: an undirected graph with 5 vertices and 10 edge(s)
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