graph-theory Archives

[Solved] Does every undirected graph contain a cycle?

December 10, 2022 by Kirat

It depends on how you define a cycle in an undirected graph. The problem is that you have to use the same edge twice in order to complete the cycle in the undirected graph. While in the directed graph you use different edges to get from A to B and from B to A solved … Read more

[Solved] Determine if there is a path between all vertex pairs on an directed graph

November 30, 2022 by Kirat

The following algorithm can me implemented with O(N+M) complexity. Take any vertex u. Use flood fill algorithm to reach other vertices. If any vertex is not reachable, return NOK. Now do the same, but go to the opposite direction. If any vertex is not reachable, return NOK. Return OK. (Here we know that there is … Read more