@article{1563,
  abstract     = {For a given self-map $f$ of $M$, a closed smooth connected and simply-connected manifold of dimension $m\geq 4$, we provide an algorithm for estimating the values of the topological invariant $D^m_r[f]$, which equals the minimal number of $r$-periodic points in the smooth homotopy class of $f$. Our results are based on the combinatorial scheme for computing $D^m_r[f]$ introduced by G. Graff and J. Jezierski [J. Fixed Point Theory Appl. 13 (2013), 63-84]. An open-source implementation of the algorithm programmed in C++ is publicly available at {\tt http://www.pawelpilarczyk.com/combtop/}.},
  author       = {Graff, Grzegorz and Pilarczyk, Pawel},
  journal      = {Topological Methods in Nonlinear Analysis},
  number       = {1},
  pages        = {273 -- 286},
  publisher    = {Juliusz Schauder Center for Nonlinear Studies},
  title        = {{An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds}},
  doi          = {10.12775/TMNA.2015.014},
  volume       = {45},
  year         = {2015},
}