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UGC-NET | UGC NET CS 2015 Jun - II | Question 5
Consider a Hamiltonian Graph (G) with no loops and parallel edges. Which of the following is true with respect to this Graph (G) ?
(a) deg (v) ≥ n / 2 for each vertex of G
(b) |E(G)| ≥ 1 / 2 (n - 1) (n - 2) + 2 edges
(c) deg (v) + deg (w) ≥ n for every n and v not connected by an edge.
(A)
(a) and (b)
(B)
(b) and (c)
(C)
(a) and (c)
(D)
(a), (b) and (c)
Answer
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