有向图中的Prims和Bellman-Ford算法

Question

请提供资源，以学习如何使用Prim算法以及Bellman-Ford算法来计算有向图中的最短路径，从而找到有向图中的最小生成树。

Answer 1

Finding an MST from a directed graph is a different problem, for which you cannot simply adapt Prim's. You should instead use Edmond's algorithm .

Bellman Ford already works on directed graphs. No need to alter anything.

The links provided should get you started. Google for additional resources if necessary.

Answer 2

If you'd like some actual code for the algorithms, I recently coded both of these algorithms up.

• Prim's algorithm
• Bellman-Ford algorithm

The comments at the top of these files contains an analysis of the two algorithms both from a correctness and runtime perspective, and I hope they can shed some light on how they work.

Answer 3

Google图书上的alsuwaiyel教科书非常好，并且有大部分可用的书。