1 files changed, 34 insertions, 0 deletions
diff --git a/graph/edmondsKarp.cpp b/graph/edmondsKarp.cpp
new file mode 100644
index 0000000..26c5b0d
--- /dev/null
+++ b/graph/edmondsKarp.cpp
@@ -0,0 +1,34 @@
+int s, t, f; //source, target, single flow
+int res[MAX_V][MAX_V]; //adj-matrix
+vector< vector<int> > adjList;
+int p[MAX_V]; //bfs spanning tree
+
+void augment(int v, int minEdge) {
+	if (v == s) { f = minEdge; return; }
+	else if (p[v] != -1) {
+		augment(p[v], min(minEdge, res[p[v]][v]));
+		res[p[v]][v] -= f; res[v][p[v]] += f;
+}}
+
+int maxFlow() { //first inititalize res, adjList, s and t
+	int mf = 0;
+	while (true) {
+		f = 0;
+		bitset<MAX_V> vis; vis[s] = true;
+		queue<int> q; q.push(s);
+		memset(p, -1, sizeof(p));
+		while (!q.empty()) { //BFS
+			int u = q.front(); q.pop();
+			if (u == t) break;
+			for (int j = 0; j < (int)adjList[u].size(); j++) {
+				int v = adjList[u][j];
+				if (res[u][v] > 0 && !vis[v]) {
+					vis[v] = true; q.push(v); p[v] = u;
+		}}}
+		
+		augment(t, INF); //add found path to max flow
+		if (f == 0) break;
+		mf += f;
+	}
+	return mf;
+}
+\ No newline at end of file