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Dijkstra无向图的最短路径

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本文介绍了Dijkstra无向图的最短路径的处理方法,对大家解决问题具有一定的参考价值,需要的朋友们下面随着小编来一起学习吧! 问题描述

我的下面的代码对于有向图很好地工作,当给定一个无向图时,它不会返回最短路径。

public void Djikstra(int s){ boolean [] marked = new boolean [V]; dist = new double [V]; for(int i = 0; i I我不确定我在这里犯了什么错误?我确信这是一个简单的错误,一些提示可以完成这项工作。

谢谢。

编辑:

public void addEdge(Edge e){ adj [e.getV()]。add(e ); adj [e.getW()]。add(e);

解决方案

从节点1到2的路径以及从节点1到2的无向路径。

您需要添加到有向图(您的算法可以解决的问题)它相当于无向图吗?

编辑:

我想。以下是提示:您目前正在更改for循环中的重置v。这不会导致一个有向图的错误,但是如果边被列为从w到v而不是v到w不定向会发生什么?

EDIT2:

类似这样:

首先,移除 v = e.getV();

其次,将下一行更改为 int w =(v == e.getV())? e.getW():e.getV();

这将w的值设置为边v的哪个顶点不是。

第二个建议等同于以下内容(可能更容易阅读):

int w = e.getW(); if(w == v){ w = e.getV(); }

My following code is working perfectly fine for directed graphs and when given an undirected graph, it will not return the shortest path.

public void Djikstra(int s){ boolean[] marked = new boolean[V]; dist = new double[V]; for(int i = 0; i<V; i++){ # initializing array dist[i] = Double.POSITIVE_INFINITY; } dist[s] = 0.0; Queue<Integer> pqs = new PriorityQueue<Integer>(); pqs.add(s); while(!pqs.isEmpty()){ int v = pqs.poll(); if(marked[v]) continue; marked[v] = true; for(Edge e : get_list(v)){ # get_list(v) will return an iterable from the adjacency list at index v v = e.getV() int w = e.getW(); if(dist[w] > dist[v] + e.getWeight()){ dist[w] = dist[v] + e.getWeight(); distances[w] = e #all the distances will be stored in this array pqs.add(w); } } } }

I'm not sure what's my mistake over here? I'm kind of sure it's a simple error, some hints will do the job.

Thanks.

Edit:

public void addEdge(Edge e){ adj[e.getV()].add(e); adj[e.getW()].add(e); }

解决方案

Consider the differences between a directed path from node 1 to 2 and an undirected path from node 1 to 2.

What would you need to add to the directed graph (which your algorithm can solve) to make it equivalent to the undirected graph?

EDIT:

Figured it out, I think. Here's the hint: You are currently changing resetting v inside of your for loop. This will not cause an error with a directed graph, but what happens if the edge is listed as going from w to v instead of v to w undirected?

EDIT2:

Something like this:

First, remove v = e.getV();

Second, change the next line to int w = (v == e.getV()) ? e.getW() : e.getV();

This sets the value of w to whichever vertex of your edge v is NOT.

This second suggestion is equivalent to the following (maybe a bit easier to read):

int w = e.getW(); if (w == v) { w = e.getV(); }

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