English

An experimental study of algorithms for obtaining a singly connected subgraph

Data Structures and Algorithms 2022-11-29 v2

Abstract

A directed graph G = (V,E) is singly connected if for any two vertices v, u of 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 of 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.

Keywords

Cite

@article{arxiv.2210.00243,
  title  = {An experimental study of algorithms for obtaining a singly connected subgraph},
  author = {Ahmed Zahloote and Al-hasan Saleh and Ayman Ghanem and Hiba Hasan and Asem Dreibaty and Ali Abodaraa and Nermeen Suleiman and Nour Naameh and Ali Ibrahim and Zeinab mahfoud},
  journal= {arXiv preprint arXiv:2210.00243},
  year   = {2022}
}
R2 v1 2026-06-28T02:31:03.415Z