无向图边双连通分量

第一遍DFS找出所有桥,第二遍DFS,给边连通分量标号。

模板:

#include <bits/stdc++.h>

using namespace std;


const int maxn = 20005;
int dfn[maxn],low[maxn],tot;
vector<int> g[maxn];
bool isB[maxn][maxn];
int n,m;

//找到桥
void tarjan(int u,int fa) {
    dfn[u] = low[u] = ++tot;
    for(int i = 0; i < (int)g[u].size(); i++) {
        int v = g[u][i];
        if(!dfn[v]) {
            tarjan(v,u);
            low[u] = min(low[u],low[v]);
            if(low[v]>dfn[u])
                isB[u][v] = isB[v][u] = true;
        }
        else if(fa!=v) {
            low[u] = min(low[u],dfn[v]);
        }
    }
}

//边双连通标号
int bcc_cnt;
int bccno[maxn];
void dfs(int idx) {
    dfn[idx] = 1;
    bccno[idx] = bcc_cnt;
    for(int i = 0; i < (int)g[idx].size(); i++) {
        int v = g[idx][i];
        if(isB[idx][v])
            continue;
        if(!dfn[v])
            dfs(v);
    }
}


void find_ebcc() {
    bcc_cnt = tot = 0;
    memset(dfn,0,sizeof(dfn));
    memset(low,0,sizeof(low));
    memset(bccno,0,sizeof(bccno));
    memset(isB,0,sizeof(isB));

    for(int i = 1; i <= n; i++) {
        if(!dfn[i]) {
            tarjan(i,-1);
        }
    }

    memset(dfn,0,sizeof(dfn));
    for(int i = 1; i <= n; i++) {
        if(!dfn[i]) {
            bcc_cnt++;
            dfs(i);
        }
    }

}

int main()
{
    freopen("in.txt","r",stdin);
    scanf("%d%d",&n,&m);

    for(int i = 0; i < m; i++) {
        int u,v;
        scanf("%d%d",&u,&v);
        g[u].push_back(v);
        g[v].push_back(u);
    }

    find_ebcc();

    puts("");

    return 0;
}

这一份模板最类似于lrj的风格了,网上也有一篇,但是有明显bug!!!

原文地址:https://www.cnblogs.com/TreeDream/p/7459273.html