Odd minimum cut-sets and b-matchings revisited

Letchford, A N and Reinelt, G and Theis, D O (2008) Odd minimum cut-sets and b-matchings revisited. SIAM Journal on Discrete Mathematics, 22 (4). pp. 1480-1487. ISSN 0895-4801

Abstract

The famous Padberg–Rao separation algorithm for b-matching polyhedra can be implemented to run in O(|V|^2|E| log(|V|^2/|E|)) time in the uncapacitated case, and in O(|V||E|^2 log(|V|^2/|E|)) time in the capacitated case. We give a new and simple algorithm for the capacitated case which can be implemented to run in O(|V|^2|E|\log(|V|^2/|E|)) time.