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GATE | GATE-CS-2017 (Set 2) | Question 27

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G is undirected graph with n vertices and 25 edges such that each vertex has degree at least 3. Then the maximum possible value of n is ________
(A) 4
(B) 8
(C) 16
(D) 24


Answer: (C)

Explanation: As per handshaking lemma,

Sum of degree of all vertices < = 2 * no. of edges.

Let v be number of vertices in graph.
==> 3*v <= 2*25
==> Minimum value of v = 16


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Last Updated : 28 Jun, 2021
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