Working version of Kruskal's algorithm. The running time is very bad though.
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2 changed files with 57 additions and 14 deletions
46
src/graph.c
46
src/graph.c
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@ -17,17 +17,17 @@
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along with this program; if not, write to the Free Software
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along with this program; if not, write to the Free Software
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Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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$Id: graph.c,v 1.1.2.2 2001/10/28 22:42:49 guus Exp $
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$Id: graph.c,v 1.1.2.3 2001/10/29 13:14:57 guus Exp $
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*/
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*/
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/* We need to generate two trees from the graph:
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/* We need to generate two trees from the graph:
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1. A minimum spanning tree for broadcasts,
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1. A minimum spanning tree for broadcasts,
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2. A single-source shortest path tree for unicasts.
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2. A single-source shortest path tree for unicasts.
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Actually, the first one alone would suffice but would make unicast packets
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Actually, the first one alone would suffice but would make unicast packets
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take longer routes than necessary.
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take longer routes than necessary.
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For the MST algorithm we can choose from Prim's or Kruskal's. I personally
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For the MST algorithm we can choose from Prim's or Kruskal's. I personally
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favour Kruskal's, because we make an extra AVL tree of edges sorted on
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favour Kruskal's, because we make an extra AVL tree of edges sorted on
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weights (metric). That tree only has to be updated when an edge is added or
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weights (metric). That tree only has to be updated when an edge is added or
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@ -40,6 +40,7 @@
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#include <syslog.h>
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#include <syslog.h>
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#include "config.h"
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#include "config.h"
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#include <string.h>
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#include <avl_tree.h>
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#include <avl_tree.h>
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@ -50,7 +51,7 @@
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#include "system.h"
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#include "system.h"
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/* Implementation of Kruskal's algorithm.
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/* Implementation of Kruskal's algorithm.
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Running time: O(E)
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Running time: O(EN)
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Please note that sorting on weight is already done by add_edge().
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Please note that sorting on weight is already done by add_edge().
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*/
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*/
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@ -62,7 +63,8 @@ void mst_kruskal(void)
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connection_t *c;
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connection_t *c;
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int nodes = 0;
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int nodes = 0;
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int safe_edges = 0;
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int safe_edges = 0;
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int skipped;
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syslog(LOG_DEBUG, _("Running Kruskal's algorithm:"));
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syslog(LOG_DEBUG, _("Running Kruskal's algorithm:"));
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/* Clear visited status on nodes */
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/* Clear visited status on nodes */
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@ -74,6 +76,10 @@ void mst_kruskal(void)
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nodes++;
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nodes++;
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}
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}
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/* Starting point */
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((edge_t *)edge_weight_tree->head->data)->from->status.visited = 1;
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/* Clear MST status on connections */
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/* Clear MST status on connections */
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for(node = connection_tree->head; node; node = node->next)
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for(node = connection_tree->head; node; node = node->next)
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@ -84,25 +90,32 @@ void mst_kruskal(void)
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/* Add safe edges */
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/* Add safe edges */
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for(node = edge_weight_tree->head; node; node = node->next)
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while(safe_edges < nodes - 1)
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for(skipped = 0, node = edge_weight_tree->head; node; node = node->next)
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{
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{
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// Algorithm should work without this:
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// Algorithm should work without this:
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// if(safe_edges = nodes - 1)
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// if(safe_edges = nodes - 1)
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// break;
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// break;
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e = (edge_t *)node->data;
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e = (edge_t *)node->data;
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if(e->from->status.visited && e->to->status.visited)
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if(e->from->status.visited == e->to->status.visited)
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continue;
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{
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skipped = 1;
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continue;
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}
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e->from->status.visited = 1;
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e->from->status.visited = 1;
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e->to->status.visited = 1;
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e->to->status.visited = 1;
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if(e->connection)
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if(e->connection)
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e->connection->status.mst = 1;
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e->connection->status.mst = 1;
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safe_edges++;
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safe_edges++;
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syslog(LOG_DEBUG, _("Adding safe edge %s - %s weight %d"), e->from->name, e->to->name, e->weight);
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syslog(LOG_DEBUG, _("Adding safe edge %s - %s weight %d"), e->from->name, e->to->name, e->weight);
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if(skipped)
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break;
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}
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}
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syslog(LOG_DEBUG, _("Done."));
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syslog(LOG_DEBUG, _("Done."));
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@ -125,7 +138,7 @@ void sssp_bfs(void)
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int nodes = 0;
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int nodes = 0;
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int visited = 0;
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int visited = 0;
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avl_tree_t *todo_tree;
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avl_tree_t *todo_tree;
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syslog(LOG_DEBUG, _("Running BFS algorithm:"));
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syslog(LOG_DEBUG, _("Running BFS algorithm:"));
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todo_tree = avl_alloc_tree(NULL, NULL);
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todo_tree = avl_alloc_tree(NULL, NULL);
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@ -157,7 +170,7 @@ void sssp_bfs(void)
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{
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{
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next = from->next;
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next = from->next;
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n = (node_t *)from->data;
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n = (node_t *)from->data;
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for(to = n->edge_tree->head; to; to = to->next)
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for(to = n->edge_tree->head; to; to = to->next)
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{
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{
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e = (edge_t *)to->data;
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e = (edge_t *)to->data;
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@ -170,10 +183,13 @@ void sssp_bfs(void)
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if(!check->status.visited)
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if(!check->status.visited)
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{
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{
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check->status.visited = 1;
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check->status.visited = 1;
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check->nexthop = (n->nexthop == myself)?n:n->nexthop;
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check->nexthop = (n->nexthop == myself) ? n : n->nexthop;
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check->via = check; /* FIXME: only if !(e->options & INDIRECT), otherwise use n->via */
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check->via = check; /* FIXME: only if !(e->options & INDIRECT), otherwise use n->via */
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avl_insert_before(todo_tree, todo_tree->head, to);
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node = avl_alloc_node();
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node->data = check;
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avl_insert_before(todo_tree, from, node);
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visited++;
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visited++;
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syslog(LOG_DEBUG, _("Node %s nexthop %s via %s"), check->name, check->nexthop->name, check->via->name);
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}
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}
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}
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}
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@ -183,6 +199,8 @@ void sssp_bfs(void)
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syslog(LOG_DEBUG, _("Done."));
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syslog(LOG_DEBUG, _("Done."));
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avl_free_tree(todo_tree);
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if(visited != nodes)
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if(visited != nodes)
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{
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{
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syslog(LOG_ERR, _("Implementation of BFS algorithm is screwed: %d nodes, visited %d"), nodes, visited);
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syslog(LOG_ERR, _("Implementation of BFS algorithm is screwed: %d nodes, visited %d"), nodes, visited);
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25
src/graph.h
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25
src/graph.h
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@ -0,0 +1,25 @@
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/*
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graph.h -- header for graph.c
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Copyright (C) 2001 Guus Sliepen <guus@sliepen.warande.net>,
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2001 Ivo Timmermans <itimmermans@bigfoot.com>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program; if not, write to the Free Software
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Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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$Id: graph.h,v 1.1.2.1 2001/10/29 13:14:57 guus Exp $
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*/
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extern void mst_kruskal(void);
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extern void mst_prim(void);
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extern void sssp_bfs(void);
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