Description: Floyd-Warshall算法描述
1)适用范围：
a)APSP(All Pairs Shortest Paths)
b)稠密图效果最佳
c)边权可正可负
2)算法描述：
a)初始化：dis[u,v]=w[u,v]
b)For k:=1 to n
For i:=1 to n
For j:=1 to n
If dis[i,j]>dis[i,k]+dis[k,j] Then
Dis[I,j]:=dis[I,k]+dis[k,j]
c)算法结束：dis即为所有点对的最短路径矩阵
3)算法小结：此算法简单有效，由于三重循环结构紧凑，对于稠密图，效率要高于执行|V|次Dijkstra算法。时间复杂度O(n^3)。
考虑下列变形：如(I,j)∈E则dis[I,j]初始为1,else初始为0，这样的Floyd算法最后的最短路径矩阵即成为一个判断I,j是否有通路的矩阵。更简单的，我们可以把dis设成boolean类型，则每次可以用“dis[I,j]:=dis[I,j]or(dis[I,k]and dis[k,j])”来代替算法描述中的蓝色部分，可以更直观地得到I,j的连通情况。
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Author:江晨 |
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Description: Floyd-Warshall算法描述
1)适用范围：
a)APSP(All Pairs Shortest Paths)
b)稠密图效果最佳
c)边权可正可负
2)算法描述：
a)初始化：dis[u,v]=w[u,v]
b)For k:=1 to n
For i:=1 to n
For j:=1 to n
If dis[i,j]>dis[i,k]+dis[k,j] Then
Dis[I,j]:=dis[I,k]+dis[k,j]
c)算法结束：dis即为所有点对的最短路径矩阵
3)算法小结：此算法简单有效，由于三重循环结构紧凑，对于稠密图，效率要高于执行|V|次Dijkstra算法。时间复杂度O(n^3)。
考虑下列变形：如(I,j)∈E则dis[I,j]初始为1,else初始为0，这样的Floyd算法最后的最短路径矩阵即成为一个判断I,j是否有通路的矩阵。更简单的，我们可以把dis设成boolean类型，则每次可以用“dis[I,j]:=dis[I,j]or(dis[I,k]and dis[k,j])”来代替算法描述中的蓝色部分，可以更直观地得到I,j的连通情况。
-err Platform: |
Size: 3072 |
Author:江晨 |
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Description: Dijkstra算法与Floyd算法的matlab实现，以求解最短路问题-Dijkstra algorithm and Floyd algorithm matlab realize in order to solve the shortest path problem Platform: |
Size: 2048 |
Author:姚益武 |
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Description: 校园导航程序，支持任意数的顶点和边数，直接输入即可，可以查询两点间的所有路径，最短距离，Dijstra和Floyd算法都有-Campus navigation, support for any number of vertices and edges, can be directly input, you can query all paths between two points, the shortest distance, Dijstra and Floyd algorithm has Platform: |
Size: 4096 |
Author:xian |
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Description: In computer science, the Floyd–Warshall algorithm (also known as Floyd s algorithm, Roy–Warshall algorithm, Roy–Floyd algorithm, or the WFI algorithm[clarification needed]) is a graph analysis algorithm for finding shortest paths in a weighted graph (with positive or negative edge weights). Platform: |
Size: 1024 |
Author:ww |
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Description: 本文件是关于最短路径问题的课程设计，分析了图问题中关于两点最短路径的问题，采用Floyd算法，演示了国内两城市可达的最短距离。文件中包括源代码、测试覆盖率报告、原始数据、课程设计报告。对正在研究数据结构中图论方面的同学有一定帮助。-This document is on the shortest path problem, curriculum design, and analysis of graph problems on the two shortest paths using Floyd algorithm shows the shortest distance between two cities up to the domestic. The file includes source code, test coverage reports, raw data, curriculum design report. Must help students that are studying the data structure in graph theory. Platform: |
Size: 299008 |
Author:yyp |
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Description: 动态规划的算法，求解所有的路径之间的最短路径，时间复杂度在O(n3)-Dynamic programming algorithm for solving the shortest path between all paths, the time complexity of O (n3) Platform: |
Size: 1024 |
Author:张三 |
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Description: 任意两点间最短路算法
Warshall-Floyd算法思想，最短距离矩阵+任意给定两顶点的最短路所包含顶点。(The shortest path algorithm between any two points
The idea of Warshall-Floyd algorithm, the shortest distance matrix + the shortest path contained by any given two vertex is the vertex.) Platform: |
Size: 2048 |
Author:SARAH寒 |
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Search - floyd SHORTEST-PATHS