标签:
主要是介绍了两个定理:
1. 二分图最大匹配数 = 二分图最小点覆盖数
2. 二分图最小点覆盖数 = 二分图顶点数 - 二分图最小点覆盖数
注意,都是二分图
代码:(匈牙利算法)
1 #include <iostream> 2 #include <cstring> 3 4 using namespace std; 5 6 #define MAX_N 1024 7 #define MAX_M 16384 8 9 int N, M; 10 int f[MAX_N]; 11 int n[MAX_M]; 12 int u[MAX_M]; 13 int v[MAX_M]; 14 int m[MAX_N]; 15 bool c[MAX_N]; 16 17 bool find(int p) { 18 for (int i = f[p]; i != 0; i = n[i]) { 19 if (c[v[i]]) 20 continue; 21 c[v[i]] = true; 22 if (!m[v[i]] || find(m[v[i]])) { 23 m[p] = v[i]; 24 m[v[i]] = p; 25 return true; 26 } 27 } 28 return false; 29 } 30 31 int solve() { 32 int res = 0; 33 for (int i = 1; i <= N; i++) { 34 memset(c, 0, sizeof(c)); 35 if (!m[i] && find(i)) 36 res++; 37 } 38 return res; 39 } 40 41 int main() { 42 43 memset(c, 0, sizeof(c)); 44 memset(m, 0, sizeof(m)); 45 46 scanf("%d%d", &N, &M); 47 for (int i = 0, j = 0; i < M; i++) { 48 int a, b; 49 scanf("%d%d", &a, &b); 50 j++; 51 u[j] = a; 52 v[j] = b; 53 n[j] = f[a]; 54 f[a] = j; 55 j++; 56 u[j] = b; 57 v[j] = a; 58 n[j] = f[b]; 59 f[b] = j; 60 } 61 62 int x = solve(); 63 printf("%d\n%d\n", x, N - x); 64 65 return 0; 66 }
hihoCoder#1127 二分图三·二分图最小点覆盖和最大独立集
标签:
原文地址:http://www.cnblogs.com/boring09/p/4411868.html