MHB How to determine whether a graph is connected or not?

  • Thread starter Thread starter yakin
  • Start date Start date
  • Tags Tags
    Graph
AI Thread Summary
To determine if a graph is connected, one can use standard search algorithms like Breadth-First Search (BFS) or Depth-First Search (DFS). Start the search from any node and track the visited nodes throughout the process. After the search completes, check for any unvisited nodes; if any exist, the graph is not connected. If all nodes are visited, the graph is confirmed to be connected. This method provides a practical approach to assessing graph connectivity.
yakin
Messages
42
Reaction score
0
How to determine whether a graph is connected or not?
 
Physics news on Phys.org
If you mean an algorithm, you can just use a standard search (BFS, DFS) starting from any point in the graph, keeping track of visited nodes. Once your search ends, check if there are any nodes that were not visited - if so, the graph is not connected, otherwise it is connected (can you prove this rigorously?).
 

Similar threads

Replies
5
Views
2K
Replies
4
Views
2K
Replies
10
Views
2K
Replies
1
Views
2K
Replies
2
Views
2K
Back
Top