An experimental study of algorithms for obtaining a singly connected subgraph

10/01/2022

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by   Ahmed Zahloote, et al.

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A directed graph G = (V,E) is singly connected if for any two vertices v,u ∈ V, the directed graph G contains at most one simple path from v to u. In this paper, we study different algorithms to find a feasible but necessarily optimal solution to the following problem. Given a directed acyclic graph G=(V,E), find a subset H ⊆ E of minimum size such that the subgraph (V,E ∖ H) is singly connected. Moreover, we prove that this problem can be solved in polynomial time for a special kind of directed graphs.