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graph_square (598B)


      1 # Graph square
      2 
      3 [graph_exponentiation] by 2 of [undirected_graph]
      4 
      5 Some are [Hamiltonian]: [graph_square_hamiltonian]
      6 
      7 Three variants:
      8 - connecting vertices with a distance *at most* two: this is the usual notion of graph square
      9   - [graph_square_root_problem]
     10 - connecting vertices with a [walk] of length *exactly* two (but potentially also an edge): this is [graph_exact_square]
     11 - connecting vertices with a distance *exactly* two: this is [graph_exact_distance_square]
     12 
     13 Up: [graph_exponentiation]
     14 
     15 See also: [radoszewski2011hamiltonian], [graph_cube], [graph_square_root], [graph_exact_square]