5 citations · 10 across the 8 of their papers we have counts for
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cs.CG2017
Computing simplicial representatives of homotopy group elements
Marek Filakovsky, Peter Franek, Uli Wagner +1
A central problem of algebraic topology is to understand the homotopy groups of a topological space . For the computational version of the problem, it is well known tha…
cs.CG2016
Solving equations and optimization problems with uncertainty
Peter Franek, Marek Krčál, Hubert Wagner
We study the problem of detecting zeros of continuous functions that are known only up to an error bound, extending the earlier theoretical work with explicit algorithms and experi…
cs.CG2012
Effective Topological Degree Computation Based on Interval Arithmetic
Peter Franek, Stefan Ratschan
We describe a new algorithm for calculating the topological degree deg (f, B, 0) where B \subseteq Rn is a product of closed real intervals and f : B \rightarrow Rn is a real-value…