Prof. Emo Welzl and Prof. Bernd Gärtner
|Mittagsseminar Talk Information|
Date and Time: Thursday, May 21, 2015, 12:15 pm
Duration: 30 minutes
Location: CAB G51
Speaker: Antonis Thomas
In this talk, we introduce and study the reachmap and niceness of a USO. The former is the set of coordinates that are reachable with directed paths from a given vertex. For the latter, we say that a USO is i-nice, if every vertex can reach in at most i steps another vertex with strictly smaller reachmap. The niceness concept is useful as a natural upper bound on the number of vertex evaluations of the Random Edge (simplex) algorithm. We prove matching upper and lower bounds on the niceness of cyclic and acyclic USOs.
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