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A.Please answer these questions: 1) For which n does the complete graph Kn have an Eulerian circuit? 2)...

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Physics

A.Please answer these questions:

1) For which n does the complete graph Kn have an Euleriancircuit?

2) For which n does the complete graph Kn have a HamiltonianCycle?

3）For which r, s does the complete bipartite graph Kr,s have anEulerian circuit?

4） For which r, s does the complete bipartite graph Kr,s have aHamiltonian Cycle?

5）Find a graph that has an Eulerian circuit but no HamiltonianCycle?

6）Find a graph that has a Hamiltonian Cycle but no Euleriancircuit?

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