📜  门| GATE-CS-2017(Set 2)|问题27

📅  最后修改于: 2021-06-28 17:26:46             🧑  作者: Mango

G是具有n个顶点和25个边的无向图,因此每个顶点的度至少为3。则n的最大可能值为________
(A) 4
(B) 8
(C) 16
(D) 24答案: (C)
说明:根据握手引理,

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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