// C++ Version #include <cstdio> #include <iostream> #include <cstring> #include <ctime> #include <cmath> #include #include <set> #include <unordered_set> #include <unordered_map> #include <sstream> #include <algorithm> #include <bitset> #include <vector> #include <deque> #define pb...
Kruskal算法的基础是贪心算法(greedy algorithm)。 假设加权连通无向图含有V个顶点,有贪心算法生成最小生成树的步骤是: 步骤一:找到一种切分(cut),它产生的 最小生成树问题 定义了一个图的切分之后,就可以得到一个新的概念:如果一条边的两个端点,属于切分不同的两个阵营,就称 这条边为横切边(Crossing Edge)...
Example of Kruskal's algorithm Start with a weighted graph Choose the edge with the least weight, if there are more than 1, choose anyone Choose the next shortest edge and add it Choose the next shortest edge that doesn't create a cycle and add it Choose the next shortest edge that does...
To understand Kruskal's algorithm let us consider the following example − Step 1 - Remove all loops and Parallel Edges Remove all loops and parallel edges from the given graph. In case of parallel edges, keep the one which has the least cost associated and remove all others. Step 2 - ...
Defination 给一个无向连通图,生成一颗边权和最小的树 Algorithm Prime: 看作两个集合,每次找出集合间最小的边选入,把对应点选入。 该算法中,“集合”和“讨论集合之间的边”的思路很妙,在删边最短路和删点最短路中都有运用。 kruskal:sort边,从小到大加入。 Application 1.martix tree 定理 (咕...猜...
Use AHP to select and optimize, get the weight relationship between the two cities who need distribution of vaccines, then use the Kruskal algorithm to calculate the optimal path for drug delivery. For example, select 6 node regions in Sierra Leone to establish line network, according to the ...
1//MiniSpanTree_Prim.cpp2//This function is to create MiniSpanTree_Prim with Prim Algorithm3# include <iostream.h>4# include <malloc.h>5# include <conio.h>67# define INFINITY10008# define MAX_VERTEX_NUM209# define OK110typedefenum{DG,DN,UDG,UDN} GraphKind;11typedefintEType;12typedefint...
Kruskal's Algorithm ExamplePrevious Quiz Next Kruskal's minimal spanning tree algorithm is one of the efficient methods to find the minimum spanning tree of a graph. A minimum spanning tree is a subgraph that connects all the vertices present in the main graph with the least possible edges and...
Example:Prim’sAlgorithm UNCChapelHill Lin/Foskey/Manocha MST-Prim(G,w,r) 1.Q V[G] 2.foreachvertexu Q//initialization:O(V)time 3.dokey[u] 4.key[r] 0//startattheroot 5.[r] NIL//setparentofrtobeNIL 6.whileQ //untilallverticesinMST ...
In this article, we are going to learn about the minimum spanning tree with their application and there are some algorithms for finding the minimum spanning tree which are kruskal’s algorithms and prim’s algorithm, that are also prescribed in this arti