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In this paper, we prove almost tight bounds on the size of sound monotoneswitching networks accepting permutations sets of directed trees. This roughlycorresponds to proving almost tight bounds bounds on the monotone memoryefficiency of the directed ST-connectivity problem for the special case inwhich the input graph is guaranteed to have no path from s to t or beisomorphic to a specific directed tree.

Bounds on the Size of Sound Monotone Switching Networks Accepting Permutation Sets of Directed Trees