SPEAKER: Norbert Zeh TITLE: I/O-efficient and cache-oblivious shortest paths ABSTRACT: This talk covers the state of the art of undirected single- source shortest path (SSSP) algorithms for memory hierarchies. I will start by discussing two papers by Kumar/Schwabe and Mehlhorn/ Meyer, respectively. The Kumar/Schwabe algorithm isn't very efficient, but (a) forms the basis for all improved SSSP algorithms in the I/O-model and (b) highlights the central challenge to be addressed. The Mehlhorn/Meyer algorithm introduces, in the context of breadth-first search, the central clustering idea used in current SSSP algorithms. After this introduction, I will discuss a progression of three papers on I/O-efficient SSSP for graphs with bounded real edge lengths, I/O-efficient SSSP for graphs with arbitrary real edge lengths, and cache-oblivious SSSP for graphs with bounded real edge lengths.