Menger's paths with minimum mergings
Talk by Prof. Dr. Guangyue Han
Speaker invited by: Prof. Dr. Joachim Rosenthal
Date: 10.06.11 Time: 11.00 - 13.00 Room: Y27H28
For an acyclic directed graph with multiple sources and multiple sinks, we prove that one can choose the Menger's paths between the sources and the sinks such that the number of mergings between these paths is upper bounded by a constant depending only on the min-cuts between the sources and the sinks, regardless of the size and topology of the graph. We also give bounds on the minimum number of mergings between these paths, and discuss how it depends on the min-cuts.