dijkstra

how to Update a key in Priority Queue in O(log n ) time in dijkstra's algorithm?

半世苍凉 提交于 2019-12-05 10:06:22
I have been working on dijkstra's algorithm for the past one week one I have the correct running code for it in java. It is using array for the computation of standard findMin function which gives you the vertex with smallest distance.Obviously it is O(n) and Now I am looking to implement it using Priority Queue(Min Heaps) What My thought process is: while (there are unseen Vertex) { vertex= get TheVertex WithSmallest Distance Yet;//(In can be done in O(log n) using heap) for this vertex { find all of the adjacent edges and traverse them. for a particular vertex which is not there in heap yet{

Dijkstra's Algorithm for Negative Weights

不想你离开。 提交于 2019-12-05 05:30:05
Okay, first of all I know Dijkstra does not work for negative weights and we can use Bellman-ford instead of it. But in a problem I was given it states that all the edges have weights from 0 to 1 (0 and 1 are not included). And the cost of the path is actually the product. So what I was thinking is just take the log. Now all the edges are negative. Now I know Dijkstra won't work for negative weights but in this case all the edges are negative so can't we do something so that Dijkstra would work. I though of multiplying all the weights by -1 but then the shortest path becomes the longest path.

How to set target vertex in QuickGraph Dijkstra or A*

二次信任 提交于 2019-12-05 03:33:28
问题 I am using QuickGraph version 3.6 and I found function SetRootVertex, but no SetTagretVertex. I need this because I am searching short paths in huge graph and this would speed up program a lot. Clases in question are DijkstraShortestPathAlgorithm and AStarShortestPathAlgorithm. 回答1: I don't think there is a way to this without using events. You could wrap the necessary code in one extension method, making things clear, e.g.: public static class Extensions { class AStarWrapper<TVertex, TEdge>

Implementing Dijkstra's Algorithm

我只是一个虾纸丫 提交于 2019-12-05 01:23:27
问题 I've been tasked (coursework @ university) to implement a form of path-finding. Now, in-spec, I could just implement a brute force, since there's a limit on the number of nodes to search (begin, two in the middle, end), but I want to re-use this code and came to implement Dijkstra's algorithm. I've seen the pseudo on Wikipedia and a friend wrote some for me as well, but it flat out doesn't make sense. The algorithm seems pretty simple and it's not a problem for me to understand it, but I just

dijkstra

旧街凉风 提交于 2019-12-04 20:55:08
朴素版 int dist[maxn], g[40][40]; bool vis[maxn]; void dijkstra(int cc) { //cc是单源节点编号 for (int i = 1; i <= n; i++) { dist[i] = g[i][cc]; } dist[cc] = 0; memset(vis, 0, sizeof(vis)); vis[cc] = 1; for (int i = 1; i <= n; i++) { int mark = -1, mindis = INF; for (int j = 1; j <= n; j++) { if (!vis[j] && dist[j] < mindis) { mindis = dist[j]; mark = j; } } vis[mark] = 1; for (int j = 1; j <= n; j++) { if (!vis[j]) { dist[j] = min(dist[j], dist[mark] + g[mark][j]); } } } } 来源: https://www.cnblogs.com/woxiaosade/p/11883150.html

How to calculate the best price [duplicate]

左心房为你撑大大i 提交于 2019-12-04 18:32:01
This question already has answers here : Selecting A combination of minimum cost (5 answers) Closed 4 years ago . I have a interesting problem. I would like to know some good approaches to solve this. I have a small store in which I have 'n' number of products Each product as a non zero price associated with it A product looks like this { productId:productA; productName:ABC; price:20$ } To enhance the customer retention, I would like to bring in combo model to sell. That is, I define m number of combos Each combo looks like this { comboId:1; comboName:2; constituentProducts: {Product1,

Find shortest path between two articles in english Wikipedia in Python

最后都变了- 提交于 2019-12-04 17:58:01
问题 The question: Find shortest path between two articles in english Wikipedia. Path between article A and B exist if there are articles C(i) and there is a link in article A that leads to article C(1), in article C(1) link that leads to article C(2), ..., in article C(n) is link that leads to article B I'm using Python. URL to download wikipedia article: http://en.wikipedia.org/wiki/Nazwa_artykułu http://en.wikipedia.org/w/index.php?title?Nazwa_artykułu&printable=yes Wikipedia API I have edited

Why does Dijkstra's Algorithm use a heap (priority queue)?

最后都变了- 提交于 2019-12-04 17:41:57
问题 I have tried using Djikstra's Algorithm on a cyclic weighted graph without using a priority queue (heap) and it worked. Wikipedia states that the original implementation of this algorithm does not use a priority queue and runs in O(V 2 ) time. Now if we just removed the priority queue and used normal queue, the run time is linear, i.e. O(V+E). Can someone explain why we need the priority queue? 回答1: I had the exact same doubt and found a test case where the algorithm without a priority_queue

Suitable data structure for large graphs

十年热恋 提交于 2019-12-04 14:31:39
I have a large graph, is there any other data structure other than adjacency list and "adjacency matrix" in c++ stl or some other data structure which I can employ for such a large graph, actually the adjacency matrix of my graph does not fit in the main memory. My graph is directed and I am implementing dijkstra algorithm in C++. I have seen the previous posts...but I am searching for a suitable data structure with respect to dijkstra. By large I mean a graph containing more than 100 million nodes and edges. It's common to represent adjacency lists as lists of integers, where the integer is

FInding All Shortest Paths Between Two Vertices

大兔子大兔子 提交于 2019-12-04 12:54:32
Given a directed graph G=(V,E) , two vertices s , t and two weight functions w1 , w2 , I need to find the shortest path from s to t by w2 among all the shortest paths between s to t by w1 . First of all , how could I find all the shortest paths between two vertices s and t ? Dijkstra's algorithm helps us find shortest path from a vertex to to every other accessible vertex, is it possible to modify it in order to get all the shortest paths between two vertices? I will expand on comments to the question. The problem is, for some graphs, you can have an exponential number of shortest paths