Problem Description Soda has a bipartite graph with n vertices and m undirected edges. Now he wants to make the graph become a complete bipartite graph with most edges by adding some extra edges. Soda needs you to tell him the maximum number of edges…

Bipartite Graph Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 840    Accepted Submission(s): 285 Problem Description Soda has a bipartite graph with n vertices and m undirected edges. Now he w…

Problem Description Soda has a bipartite graph with n vertices and m undirected edges. Now he wants to make the graph become a complete bipartite graph with most edges by adding some extra edges. Soda needs you to tell him the maximum number of edges…

题意: Soda有一个n个点m条边的二分图, 他想要通过加边使得这张图变成一个边数最多的完全二分图. 于是他想要知道他最多能够新加多少条边. 注意重边是不允许的. 思路: 先将二分图着色,将每个连通分量区分出左右两边的点,在着色过程中,顺便将每个连通分量两边的点数存起来,注意一个连通分量左右两边的点数是绑定的一对数字.现在的问题就是,需要将这几对数字给分配掉,每一对都必须拆开来丢到不同的桶中,而且尽量使得两桶中各自的数字之和最接近,才能使得边最多. 分配的过程可以使用DP解决,主要是数字挺大的,…

题意:给一个二分图,问想让二分图变成完全二分图最多能加多少条边. 解法:图染色+dp+bitset优化.设最终的完全二分图两部分点集为A和B,A中点个数为x,B中点个数为y,边数则为x × y,答案即为x × y - m,那么用dp计算集合A中点个数的可能性.先用图染色计算每个连通分量里两种颜色点的个数,用dp[i][j]表示加入第i个连通分量时A集合中有j个点的可能性,可能为1,不可能为0,设联通分量为p,可以得到转移方程为dp[i][j] = dp[i - 1][j - p[i][0]] |…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5354 题意:求删去每个点后图是否存在奇环(n,m<=1e5) 解法:很经典的套路,和这题一样:http://www.cnblogs.com/spfa/p/7358672.html CDQ套并查集. 这题最开始是看了南神的代码才懂的,http://blog.csdn.net/hdu2014/article/details/47450709    因为要判断每一个点,而且一旦一个点之外的几个点形成了奇环…

题目传送门 /* 二分图点染色:这题就是将点分成两个集合就可以了,点染色用dfs做, 剩下的点放到点少的集合里去 官方解答:首先二分图可以分成两类点X和Y, 完全二分图的边数就是|X|*|Y|.我们的目的是max{|X|*|Y|}, 并且|X|+|Y|=n. 修正:实现多连通块染色,然后贪心选择,将两个集合个数差大的连通块优先添加,能尽量使得un*vn最大 */ #include <cstdio> #include <algorithm> #include <cstring&…

HDU 6321 Dynamic Graph Matching (状压DP) Problem C. Dynamic Graph Matching Time Limit: 8000/4000 MS (Java/Others) Memory Limit: 524288/524288 K (Java/Others) Total Submission(s): 1796 Accepted Submission(s): 731 Problem Description In the mathematical…

读了一篇paper,MSRA的Wei Wu的一篇<Learning Query and Document Similarities from Click-through Bipartite Graph with Metadata>.是关于Ranking Relevence方面的文章.下面简单讲下我对这篇文章的理解,对这方面感兴趣的小伙伴们可以交流一下. 1. Abstract 这篇文章的重点在于使用query-doc的点击二部图,结合query/doc的meta数据(组织成multiple t…

Discription You are given an undirected bipartite graph without multiple edges. You should paint the edges of graph to minimal number of colours, so that no two adjacent edges have the same colour. Input The first line contains three integers a, b, m…