2 papers
math.CO2004
Balanced Partitions of Vector Sequences
Imre Bárány, Benjamin Doerr
Let , any norm on and denote the unit ball with respect to this norm. We show that any sequence of vectors in can be partition…
math.MG2003
Total curvature and spiralling shortest paths
Imre Barany, Krystyna Kuperberg, Tudor Zamfirescu
This paper gives a partial confirmation of a conjecture of P. Agarwal, S. Har-Peled, M. Sharir, and K. Varadarajan that the total curvature of a shortest path on the boundary of a…