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Question

If G is a simple graph with n-vertices and n>=3, the condition for G has a Hamiltonian circuit is __________

a.

the degree of each vertex is at most n/2

b.

the degree of each vertex is equal to n

c.

the degree of every vertex is at least n+1/2

d.

the degree of every vertex in G is at least n/2

Posted under Discrete Mathematics

Answer: (d).the degree of every vertex in G is at least n/2

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Q. If G is a simple graph with n-vertices and n>=3, the condition for G has a Hamiltonian circuit is __________

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