UGC-NET | UGC NET CS 2017 Jan – II | Question 5

Consider a Hamiltonian Graph G with no loops or parallel edges and with |V(G)| = n ≥ 3.
Then which of the following is true ?
(A) deg(v) ≥n/2 for each vertex v.
(B) |E(G)| ≥1/2(n – 1) (n – 2) + 2
(C) deg (v) + deg(w) ≥ n whenever v and w are not connected by an edge
(D) All of the above

Answer: (D)


Quiz of this Question

My Personal Notes arrow_drop_up
Article Tags :

Be the First to upvote.

Please write to us at to report any issue with the above content.