Packing Directed Joins
MetadataShow full item record
Edmonds and Giles conjectured that the maximum number of directed joins in a packing is equal to the minimum weight of a directed cut, for any weighted directed graph. This is a generalization of Woodall's Conjecture (which is still open). Schrijver found the first known counterexample to the Edmonds-Giles Conjecture, while Cornuejols and Guenin found the next two. In this thesis we introduce new counterexamples, and prove that all minimal counterexamples of a certain type have now been found.
Cite this version of the work
Aaron Williams (2004). Packing Directed Joins. UWSpace. http://hdl.handle.net/10012/1024