From 2e7db2a6936a77baa0a81eb566674bd76d204951 Mon Sep 17 00:00:00 2001
From: Guus Sliepen <guus@tinc-vpn.org>
Date: Tue, 12 Mar 2002 13:42:23 +0000
Subject: [PATCH] Simplified implementation of Kruskal's minimum spanning tree
 algorithm.

---
 src/graph.c | 52 +++++++++++++++++-----------------------------------
 1 file changed, 17 insertions(+), 35 deletions(-)

diff --git a/src/graph.c b/src/graph.c
index abc918d..6aac6f2 100644
--- a/src/graph.c
+++ b/src/graph.c
@@ -17,7 +17,7 @@
     along with this program; if not, write to the Free Software
     Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
 
-    $Id: graph.c,v 1.1.2.7 2002/02/18 16:25:16 guus Exp $
+    $Id: graph.c,v 1.1.2.8 2002/03/12 13:42:23 guus Exp $
 */
 
 /* We need to generate two trees from the graph:
@@ -32,9 +32,7 @@
    favour Kruskal's, because we make an extra AVL tree of edges sorted on
    weights (metric). That tree only has to be updated when an edge is added or
    removed, and during the MST algorithm we just have go linearly through that
-   tree, adding safe edges until #edges = #nodes - 1. The implementation here
-   however is not so fast, because I tried to avoid having to make a forest and
-   merge trees.
+   tree.
 
    For the SSSP algorithm Dijkstra's seems to be a nice choice. Currently a
    simple breadth-first search is presented here.
@@ -62,20 +60,25 @@
 
 #include "system.h"
 
-/* Implementation of Kruskal's algorithm.
-   Running time: O(EN)
-   Please note that sorting on weight is already done by add_edge().
+/* Kruskal's minimum spanning tree algorithm.
+   Running time: O(E)
+   Edges are already sorted on weight.
 */
 
 void mst_kruskal(void)
 {
-  avl_node_t *node, *next;
+  avl_node_t *node;
   edge_t *e;
   node_t *n;
   connection_t *c;
-  int nodes = 0;
-  int safe_edges = 0;
-  int skipped;
+
+  /* Clear MST status on connections */
+
+  for(node = connection_tree->head; node; node = node->next)
+    {
+      c = (connection_t *)node->data;
+      c->status.mst = 0;
+    }
 
   /* Do we have something to do at all? */
   
@@ -88,46 +91,25 @@ void mst_kruskal(void)
     {
       n = (node_t *)node->data;
       n->status.visited = 0;
-      nodes++;
     }
 
   /* Starting point */
   
   ((edge_t *)edge_weight_tree->head->data)->from.node->status.visited = 1;
 
-  /* Clear MST status on connections */
-
-  for(node = connection_tree->head; node; node = node->next)
-    {
-      c = (connection_t *)node->data;
-      c->status.mst = 0;
-    }
-
   /* Add safe edges */
 
-  for(skipped = 0, node = edge_weight_tree->head; node; node = next)
+  for(node = edge_weight_tree->head; node; node = node->next)
     {
-      next = node->next;
       e = (edge_t *)node->data;
 
-      if(e->from.node->status.visited == e->to.node->status.visited)
-        {
-          skipped = 1;
-          continue;
-        }
+      if(e->from.node->status.visited && e->to.node->status.visited)
+        continue;
 
       e->from.node->status.visited = 1;
       e->to.node->status.visited = 1;
       if(e->connection)
         e->connection->status.mst = 1;
-
-      safe_edges++;
-
-      if(skipped)
-        {
-          next = edge_weight_tree->head;
-          continue;
-        }
     }
 }
 
-- 
2.25.1