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VertexContract

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Merge a set of vertices of a graph into a single vertex

VertexContract[g, {v1, v2, …}]
VertexContract[g, {{v1, v2, …}, …}]
VertexContract[{v -> w, …}, …]
g = CycleGraph[5]; VertexContract[g, {1, 2}] → Graph[<4>, <4>]

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