From 2ca17bb87fbce4162761f5f4277c0823a8d230bb Mon Sep 17 00:00:00 2001
From: rk_98 <iamrasul786@gmail.com>
Date: Mon, 5 Oct 2020 12:53:22 +0530
Subject: [PATCH] Added Articulation Bridges

---
 Graph/Articulation_bridges/ab.cpp | 61 +++++++++++++++++++++++++++++++
 README.md                         |  1 +
 2 files changed, 62 insertions(+)
 create mode 100644 Graph/Articulation_bridges/ab.cpp

diff --git a/Graph/Articulation_bridges/ab.cpp b/Graph/Articulation_bridges/ab.cpp
new file mode 100644
index 00000000..6fee1515
--- /dev/null
+++ b/Graph/Articulation_bridges/ab.cpp
@@ -0,0 +1,61 @@
+#include<bits/stdc++.h>
+#define turbo() ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
+#define ll long long
+#define mod (1000000007)
+#define inf ((ll)1e18)
+#define eps (1e-9)
+#define ff first
+#define ss second
+#define pb push_back
+#define endl "\n"
+using namespace std;
+
+vector<vector<int>> adj;
+vector<int> dfs_low , dfs_num , dfs_parent; 
+vector<pair<int , int> > res;
+int dfscnt = 1;
+void dfs(int u)
+{
+	dfs_low[u] = dfs_num[u] = dfscnt++;
+	for(int x : adj[u])
+	{
+		if(dfs_num[x] == 0)
+		{
+			dfs_parent[x] = u;
+			dfs(x);
+			if(dfs_low[x] > dfs_num[u])
+				res.push_back({u , x});
+			dfs_low[u] = min(dfs_low[u] , dfs_low[x]);
+		}
+		else if(x != dfs_parent[u])
+			dfs_low[u] = min(dfs_low[u] , dfs_num[x]);
+
+	}
+}
+
+int main()
+{
+	int n = 10 ; // number of vertices;
+	// cin>>n;
+	int m = 15 ; // number of edges;
+	// cin>>m;
+	adj.resize(n + 1);
+	dfs_low.resize(n + 1);
+	dfs_num.resize(n + 1);
+	dfs_parent.resize(n + 1);
+	// store the adj list int adj;
+	for(int i = 0 ; i < m ; i++ )
+	{
+		int x , y;
+		cin>>x>>y;
+		adj[x].pb(y);
+		adj[y].pb(x);
+	}
+	dfs(1);
+	cout<<"Bridges:\n";
+	for(auto x : res)
+	{
+		cout<<x.ff<<" "<<x.ss<<endl;
+	}
+	return 0;
+}
\ No newline at end of file
diff --git a/README.md b/README.md
index 23b7003b..8296de90 100755
--- a/README.md
+++ b/README.md
@@ -84,6 +84,7 @@ ACM-ICPC Algorithms is a collection of important algorithms and data structures
    * [Longest Bitonic SubSequence](/DP/LongestBitonicSubseq)
    * [Tiling Problem](/DP/Tiling%20Problem)
 * [Graph Algorithms](/Graph)
+   * [Articulation Bridges](/Graph/Articulation_bridges)
    * [Articulation Points](/Graph/Articulation_points)
    * [Bellman Ford SSSP](/Graph/BellmanFordSSSP)
    * [Bridges](/Graph/bridges)