finding all minimal spanning trees [duplicate]

大城市里の小女人 提交于 2019-11-29 14:23:01

Apologies for the academic answer... but algorithm S in Knuth's TAOCP, Volume 4, Fascicle 4 is exactly about generating all spanning trees (pp. 26ff). There are a few musings when he talks about generating (spanning) trees, but your best bet in TAOCP.

you can find one..modifying the BFS algorithm!

Yes, there are algorithms for generating all spanning trees in a graph. At least one compresses the output by generating only diffs between the trees. As others have pointed out, there might be a lot of minimum spanning trees for even a small graph.

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