Network POJ - 3694 (连通图标求桥)

有上述两个数组定义可知:对于某点root,其有一儿子v,则有:

1.     如果dfn[root]<=low[v]此点是割点(对于dfs树的根,即最初节点需要两个儿子才是割点)

2.     如果dfn[root]<low[v],连接root与v的边是桥。


#include <iostream>
#include <cstdio>
#include <cstring>
#include <queue>
#include <vector>
#include <stack>
#include <algorithm>
#include <cmath>
#define mem(a, b) memset(a, b, sizeof(a))
using namespace std;
const int maxn = , INF = 0x7fffffff;
int pre[maxn], low[maxn], iscut[maxn];
int dfs_clock, n, cnt;
vector<int> G[maxn];
struct edge
{
int u, v;
}Edge[maxn];
int cmp(edge a, edge b)
{
if(a.u == b.u) return a.v < b.v;
return a.u < b.u;
} int dfs(int u, int fa)
{
int lowu = pre[u] = ++dfs_clock;
int child = ;
for(int i=; i<G[u].size(); i++)
{
int v = G[u][i];
if(!pre[v])
{
child++;
int lowv = dfs(v, u);
lowu = min(lowu, lowv);
if(lowv > pre[u])
{
iscut[u] = ;
Edge[cnt].u = u, Edge[cnt].v = v;
if(Edge[cnt].u > Edge[cnt].v) swap(Edge[cnt].u, Edge[cnt].v);
cnt++;
} }
else if(pre[v] < pre[u] && v != fa)
lowu = min(lowu, pre[v]);
}
if(fa < && child == ) iscut[u] = ;
low[u] = lowu;
return lowu;
} void init()
{
cnt = ;
dfs_clock = ;
mem(pre, );
mem(low, );
mem(iscut, );
for(int i=; i<=n; i++) G[i].clear();
} int main()
{
while(cin>> n)
{
init();
for(int i=; i<n; i++)
{
int u, d, v;
scanf("%d (%d)", &u, &d);
for(int i=; i<d; i++)
{
cin>> v;
G[u].push_back(v);
G[v].push_back(u);
}
}
for(int i=; i<n; i++)
if(!pre[i])
dfs(i, -);
sort(Edge, Edge+cnt, cmp);
printf("%d critical links\n",cnt);
for(int i=; i<cnt; i++)
cout<< Edge[i].u << " - " << Edge[i].v <<endl;
cout<<endl;
}
return ;
}
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