在一些资料中,上述算法被称作 Double-tree algorithm。下面构造一个例子说明数字“2”是紧的: 例:考虑完全图 G=(V,E), |V|=2n+1 ,其中 v_0 与任何一个顶点之间的距离都是 1; v_{i} 与v_{i+1} 之间的距离为 1, i=0,\dots 2n-1; 其余所有两点间距离都是 2; 那么算法构造出的欧拉回路 L ...
find(x): to which set does x belong? //对于任意给定点x,判断x属于哪一个连通块 union(x, y): merge the sets containing x and y //合并两个连通块其中,x,y为某边的两个端点,如果通过上面的find操作属于不同的连通块才把他们合并 Algorithm(算法实现) : Kruskal(G) 1.For all u∈V do makese...
算法实现# #include<iostream>#include<cstring>#include<algorithm>usingnamespacestd;constintN =5200,INF =0x3f3f3f3f;structedge{intx,y,v;//x,y存储边的两个端点 v存储边的长度};structedgeedges[200005];intn,m,weight;intpred[5005];//并查集操作中存储顶点i的父亲顶点pred[i]voidquicksort(intl,in...
#include <iostream> #include <cstdio> #include <algorithm> using namespace std; const int N = 2 * 1e5 + 10; struct edge { // 存边 int u, v, w; } e[N]; edge mst[5010]; // 最小生成树 int vtx[5010], k, ans, n, m; // vtx并查集数组,k当前最小生成树节点数,ans边权和...
克魯斯克爾演算法(Kruskal’s algorithm) 同樣以「貪婪演算法(greedy algorithm)」實現,將所有邊的權重都列出後,一一取權重最小、又不會成環的邊,直到所有節點都被邊連上為止。時間複雜度為 O(|E|·log|V|),|E| 為邊的個數、|V| 為節點個數。
The simulation results show that the proposed algorithm is a tradeoff between failure recovery ratio, recovery path hop number, average node degree and computation complexity. In summary, MST-TADB can effectively ensure the self-healing of the overlay....
Prim Algorithm We show how to construct a minimum spanning tree (MST) for a connected graph using the Prim algorithm. Whereas the Kruskal algorithm sequences through the edges to find the MST, the Prim algorithm sequences through the nodes 1, 2, …, n-1. This algorithm uses the following...
The time complexity of the problem is less than O(N log |E|) compared with the existing algorithms' time complexity, O(|E| log |E|) + C of the Kruskal algorithm, which is optimum. The goal is to design an algorithm that is simple, elegant, efficient, easy to understand and ...
#include<algorithm> usingnamespacestd; #define max_num 100 /* * 表示图的边 */ typedefstructedge{ intx,y; intw; }edge; edgee[max_num]; intn=0; //定义并查集 的parent数组和rank数组(树的深度-1——严谨的说) intparent[max_num]; ...
A MST Clustering Algorithm Based on Optimized Grid (OGMST) is presented. On one hand,the OGMST dealt with datasets by the way of MST, on the other hand,it resolved the MST algorithm's limitation of unfit for multi-density datasets by the use of parameter automatic grid paritition technique...