Which one a 4cube have euler cycle hamilton cycle embed a 22

Which one a 4-cube have? euler cycle, hamilton cycle, embed a 2^2x2^2 mesh, or a bipartite graph?
Which one a 4-cube have? euler cycle, hamilton cycle, embed a 2^2x2^2 mesh, or a bipartite graph?

Solution

4-cube have (1) hamilton Cycle and (2) bipartite graph

Every Hypercube Qn (n>1) have both hamilton Cycle and bipartite graph

4-cube is not planer so it does not have Eular cycle and embed a 2^2x2^2 mesh

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I think I am correct

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 Which one a 4-cube have? euler cycle, hamilton cycle, embed a 2^2x2^2 mesh, or a bipartite graph? Which one a 4-cube have? euler cycle, hamilton cycle, embed a

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