15 citations · 31 across the 8 of their papers we have counts for
Showing 2006Show all
2 papers · 1 filter
math.OC2006★ 3 cited
Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles
Michael Farber, Mark Grant, Sergey Yuzvinsky
We study motion planning algorithms for collision free control of multiple objects in the presence of moving obstacles. We compute the topological complexity of algorithms solving…
math.AG2006★ 5 cited
Multinets, resonance varieties, and pencils of plane curves
Michael Falk, Sergey Yuzvinsky
We show that a line arrangement in the complex projective plane supports a nontrivial resonance variety if and only if it is the underlying arrangement of a "multinet," a multi-arr…