Hamiltonian and nonhamiltonian graphs

Reference no: EM13123371

Show that this theorem 1 is sharp, that is, show that for infinitely many n>=3 there are non-hamiltonian graphs G of order n such that degu+degv>=n-1 for all distinct nonadjacent u and v.

Can you explain this theorem,please

Theorem1: If G is a graph of order n>=3 such that for all distinct nonadjacent vertices u and v, deg v +deg u >=n then G is hamiltonian.

Can you explain it step by step and draw a graph.

Reference no: EM13123371

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