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graph_homomorphism_problem (426B)


      1 # Graph homomorphism problem
      2 
      3 The *graph homomorphism problem* is the [decision_problem] that asks, given two [graphs] G and H, whether there exists a [homomorphism] from G to H
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      5 The problem is [NP_complete] even if the right-hand-side [graph] H is fixed, e.g., to a [triangle] (because it amounts to [deciding] [3_colorability] of G
      6 
      7 Up: [decision_problem], [graph_homomorphism]
      8 
      9 See also: [CSP], [graph_isomorphism_problem]