The Unique MST Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 22715   Accepted: 8055 Description Given a connected undirected graph, tell if its minimum spanning tree is unique.  Definition 1 (Spanning Tree): Consider a connected, undir…

题目链接:http://poj.org/problem?id=1679 The Unique MST Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 29408   Accepted: 10520 Description Given a connected undirected graph, tell if its minimum spanning tree is unique. Definition 1 (Spannin…

The Unique MST 题目链接: http://acm.hust.edu.cn/vjudge/contest/124434#problem/J Description Given a connected undirected graph, tell if its minimum spanning tree is unique. Definition 1 (Spanning Tree): Consider a connected, undirected graph G = (V, E).…

The Unique MST Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 22668   Accepted: 8038 Description Given a connected undirected graph, tell if its minimum spanning tree is unique. Definition 1 (Spanning Tree): Consider a connected, undire…

无向连通图(无重边),判断最小生成树是否唯一,若唯一求边权和. 分析生成树的生成过程,只有一个圈内出现权值相同的边才会出现权值和相等但“异构”的生成树.(并不一定是最小生成树) 分析贪心策略求最小生成树的过程(贪心地选最短的边来扩充已加入生成树的顶点集合U),发现只有当出现“U中两个不同的点到V-U中同一点的距离同时为当前最短边”时,才会出现“异构”的最小生成树. 上图为kruscal和prim生成过程中可能遇到的相等边的情况,红色和蓝色的为权值相等的边. 可以看到kruscal由于事先将所有边…

Description Given a connected undirected graph, tell if its minimum spanning tree is unique. Definition 1 (Spanning Tree): Consider a connected, undirected graph G = (V, E). A spanning tree of G is a subgraph of G, say T = (V', E'), with the followin…

借用的是Kruskal的并查集,算法中的一点添加和改动. 通过判定其中有多少条可选的边,然后跟最小生成树所需边做比较,可选的边多于所选边,那么肯定方案不唯一. 如果不知道这个最小生成树的算法,还是先去理解下这个算法的原理,再继续看. 多加的几行与cnt2很类似的cnt1统计,是统计当前未选边中相同长度的边还有哪些可以选,但不标记,只是为了把当前可选的边全部统计出来. 其他细节,自己要细心点- #include <stdio.h> #include <string.h> #inclu…

题目:poj 1679 The Unique MST 题意:给你一颗树,让你求最小生成树和次小生成树值是否相等. 分析:这个题目关键在于求解次小生成树. 方法是,依次枚举不在最小生成树上的边,然后加入到最小生成树上,然后把原树上加入了之后形成环的最长的边删去,知道一个最小的.就是次小生成树. 这些须要的都能够在求解最小生成树的时候处理出来. AC代码: #include <cstdio> #include <cstring> #include <iostream> #i…

http://poj.org/problem?id=1679 The Unique MST Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 17726   Accepted: 6150 Description Given a connected undirected graph, tell if its minimum spanning tree is unique. Definition 1 (Spanning Tree…

题目连接 http://poj.org/problem?id=1679 The Unique MST Description Given a connected undirected graph, tell if its minimum spanning tree is unique. Definition 1 (Spanning Tree): Consider a connected, undirected graph G = (V, E). A spanning tree of G is a…