题目详情

对有n个结点、e条边且采用数组表示法(即邻接矩阵存储)的无向图进行深度优先遍历,时间复杂度为(  )。

  • A.O(n2)
  • B.O(e2)
  • C.O(n+e)
  • D.O(n*e)

正确答案及解析

正确答案
A
解析

在邻接表中,就是要依次访问每个顶点,然后在每个顶点中依次访问每条边,把这些边的终点的入度+1。也就是每个顶点和每条边依次要各访问一遍,所以时间复杂度是O(n+e)。在邻接矩阵中,算法需要遍历邻接矩阵×n个点,所以时间复杂度是O(n×n)。

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