Cartesian Product of Graphs - Examples

Examples

  • The Cartesian product of two edges is a cycle on four vertices: K2 K2 = C4.
  • The Cartesian product of K2 and a path graph is a ladder graph.
  • The Cartesian product of two path graphs is a grid graph.
  • The Cartesian product of n edges is a hypercube:
Thus, the Cartesian product of two hypercube graphs is another hypercube: Qi Qj = Qi+j.
  • The Cartesian product of two median graphs is another median graph.
  • The graph of vertices and edges of an n-prism is the Cartesian product graph K2 Cn.
  • The rook's graph is the Cartesian product of two complete graphs.

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