EdgeContract

EdgeContract[g,e]

contracts the edge e of the graph g.

EdgeContract[g,{e1,e2,}]

contracts a collection of edges e1,e2,.

EdgeContract[{vw,},]

uses rules vw to specify the graph g.

Details and Options

  • EdgeContract[g,e] creates a new graph from g by deleting the edge e and merging the vertex v into u.
  • EdgeContract works with undirected graphs, directed graphs, multigraphs, and mixed graphs.

Examples

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Basic Examples  (1)

Contract edges of a graph:

Scope  (7)

EdgeContract works with undirected graphs:

Directed graphs:

Multigraphs:

Mixed graphs:

Use rules to specify the graph:

Use patterns to specify a set of edges:

EdgeContract works with large graphs:

Properties & Relations  (1)

EdgeContract can be computed using VertexContract:

Introduced in 2014
 (10.0)
 |
Updated in 2015
 (10.3)