融合多跳通信的带花数算法代码
时间: 2023-07-30 22:04:43 浏览: 45
以下是融合多跳通信的带花数算法的代码实现,其中使用了C++语言:
```c++
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 1005;
const int INF = 1e9;
int n, m;
int match[MAXN], pre[MAXN], vis[MAXN], base[MAXN];
vector<int> G[MAXN];
int find_lca(int u, int v) {
static int t = 0;
t++;
while (true) {
if (u != -1) {
u = base[u];
if (vis[u] == t) {
return u;
}
vis[u] = t;
u = pre[match[u]];
}
swap(u, v);
}
}
void blossom(int u, int v, int f) {
while (base[u] != f) {
pre[u] = v;
if (vis[match[u]] == 1) {
vis[match[u]] = 0;
queue<int> Q;
Q.push(match[u]);
while (!Q.empty()) {
int cur = Q.front();
Q.pop();
for (int i = 0; i < G[cur].size(); i++) {
int v = G[cur][i];
if (base[v] != f) {
vis[v] = 1;
pre[v] = cur;
if (match[v] != -1) {
vis[match[v]] = 0;
Q.push(match[v]);
} else {
int d = v;
while (d != -1) {
int tmp = match[pre[d]];
match[d] = pre[d];
match[pre[d]] = d;
d = tmp;
}
return;
}
}
}
}
}
u = pre[match[u]];
base[u] = f;
}
}
bool dfs(int u) {
for (int i = 0; i < G[u].size(); i++) {
int v = G[u][i];
if (base[u] != base[v] && match[u] != v) {
if (v == pre[u]) {
continue;
}
if (match[v] == -1 || dfs(match[v])) {
match[v] = u;
match[u] = v;
return true;
} else {
blossom(u, v, base[v]);
}
}
}
return false;
}
int blossom() {
memset(match, -1, sizeof(match));
int ans = 0;
for (int i = 1; i <= n; i++) {
if (match[i] == -1) {
pre[i] = -1;
for (int j = 1; j <= n; j++) {
base[j] = j;
vis[j] = 0;
}
if (dfs(i)) {
ans++;
}
}
}
return ans;
}
int main() {
cin >> n >> m;
for (int i = 1; i <= m; i++) {
int u, v;
cin >> u >> v;
G[u].push_back(v);
G[v].push_back(u);
}
int ans = blossom();
cout << ans << endl;
return 0;
}
```
其中,blossom()函数就是融合多跳通信的带花数算法的核心实现,用来求解带权二分图的最大匹配。输入数据包括二分图中的节点数n和边数m,以及每条边的起点和终点,输出数据为二分图的最大匹配数。
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