7.16. 深度优先搜索分析

.. Copyright (C) Brad Miller, David Ranum This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/4.0/.

Depth-First Search Analysis ~~~~~~~~~~~~~~~~~~~~~~~~~~~

The general running time for depth-first search is as follows. The loops in dfs both run in :math:O(|V|), not counting what happens in dfs_visit, since they are executed once for each vertex in the graph. In dfs_visit the loop is executed once for each edge in the adjacency list of the current vertex. Since dfs_visit is only called recursively if the vertex is white, the loop will execute a maximum of once for every edge in the graph, or :math:O(|E|). Therefore, the total time for depth-first search is :math:O(|V| + |E|).


最后更新: 2023年10月10日
创建日期: 2023年10月10日