algorithm - How to find maximum spanning tree?

Question

Does the opposite of Kruskal's algorithm for minimum spanning tree work for it? I mean, choosing the max weight (edge) every step?

Any other idea to find maximum spanning tree?

Answer 1

Yes, it does.

One method for computing the maximum weight spanning tree of a network G – due to Kruskal – can be summarized as follows.

1. Sort the edges of G into decreasing order by weight. Let T be the set of edges comprising the maximum weight spanning tree. Set T = ?.
2. Add the first edge to T.
3. Add the next edge to T if and only if it does not form a cycle in T. If there are no remaining edges exit and report G to be disconnected.
4. If T has n?1 edges (where n is the number of vertices in G) stop and output T . Otherwise go to step 3.

Source: https://web.archive.org/web/20141114045919/http://www.stats.ox.ac.uk/~konis/Rcourse/exercise1.pdf.