Let H = (V,E) be an undirected hypergraph and A ⊆ V. We consider the problem of finding a minimum cost partition of V that separates every pair of nodes in A. We consider three formulations of the problem and show that the theoretical lower bounds to the integer optimal objective value provided by the LP-relaxations in all three cases are identical. We describe our empirical findings with each formulation.
- Integer programming formulations
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics