Single Commodity Flow Algorithms for Lifts of Graphic and Cographic Matroids
MetadataShow full item record
Consider a binary matroid M given by its matrix representation. We show that if M is a lift of a graphic or a cographic matroid, then in polynomial time we can either solve the single commodity flow problem for M or find an obstruction for which the Max-Flow Min-Cut relation does not hold. The key tool is an algorithmic version of Lehman's Theorem for the set covering polyhedron.
Cite this work
Leanne Stuive (2013). Single Commodity Flow Algorithms for Lifts of Graphic and Cographic Matroids. UWSpace. http://hdl.handle.net/10012/7225