From e95f59debd69ee7d45d5c966ce466d23264e1c3c Mon Sep 17 00:00:00 2001 From: Gloria Mundi Date: Sat, 16 Nov 2024 18:12:15 +0100 Subject: rename maxCarBiMatch.cpp to kuhn.cpp --- content/graph/kuhn.cpp | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 content/graph/kuhn.cpp (limited to 'content/graph/kuhn.cpp') diff --git a/content/graph/kuhn.cpp b/content/graph/kuhn.cpp new file mode 100644 index 0000000..e928387 --- /dev/null +++ b/content/graph/kuhn.cpp @@ -0,0 +1,25 @@ +vector> adj; +vector pairs; // Der gematchte Knoten oder -1. +vector visited; + +bool dfs(int v) { + if (visited[v]) return false; + visited[v] = true; + for (int u : adj[v]) if (pairs[u] < 0 || dfs(pairs[u])) { + pairs[u] = v; pairs[v] = u; return true; + } + return false; +} + +int kuhn(int l) { // l = #Knoten links. + pairs.assign(sz(adj), -1); + int ans = 0; + // Greedy Matching. Optionale Beschleunigung. + for (int v = 0; v < l; v++) for (int u : adj[v]) + if (pairs[u] < 0) {pairs[u] = v; pairs[v] = u; ans++; break;} + for (int v = 0; v < l; v++) if (pairs[v] < 0) { + visited.assign(l, false); + ans += dfs(v); + } + return ans; // Größe des Matchings. +} -- cgit v1.2.3