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homomorphism_closed (660B)


      1 # Homomorphism closed
      2 
      3 A [query] Q is *closed under [homomorphism]* if the following holds:
      4   - if A satisfies Q and A has a [homomorphism] to B then B also satisfies Q
      5 
      6 [cate2023when]: characterization of which classes are closed under [homomorphism_count]
      7 
      8 Special case:
      9 
     10 - [connected_homomorphism_closed_query]
     11 - [unbounded_homomorphism_closed_query]
     12 
     13 Up: [closure] under [homomorphism]
     14 
     15 Aliases: closed under homomomorphism, homomorphism closed query, homomorphism closed queries, homomorphism-closed query, homomorphism-closed queries, hom closed query, hom closed queries, hom-closed query, hom-closed queries
     16 
     17 See also: [infinite_UCQ], [monotone_query]