##  [Edge Contraction](/edge-contraction) 

  ##  [Edge Contraction](https://puremath.quantumdictionary.io/edge-contraction-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An operation on a cell complex, graph, or simplicial complex that identifies the two endpoints of an edge and removes that edge (and any resulting degenerate cells), producing a new complex with altered combinatorial and potentially topological structure.