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A Hamiltonian graph (directed or undirected) is a graph that contains a Hamiltonian cycle, that is, a cycle that visits every vertex exactly once.

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degG(x) + degG(y) >= n, show that the graph is hamiltonian [closed]

I'm trying to show that a connected graph which has order >=3, and having the following inequality is Hamiltonian: degG(x) + degG(y) >= n x and y are two non-adjacent vertices I know that Dirac' …
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