在具有n(n>0)个顶点的简单无向图中,最多含有( )条边。
- A.n(n-1)
- B.n(n+1)
- C.n*(n-1)/2
- D.n*(n+1)/2
正确答案及解析
正确答案
解析
本题考查图结构基础知识。 对于n个顶点的简单无向图,每个顶点最多与其余的n-1个结点邻接(若两个顶点之间有边,则称为邻接),因此,最多有n(n-1)条边,同时,由于边没有方向,因此一条边关联的两个顶点,邻接关系被计算了两次,所以边的个数为n(n-1)/2。
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