@article{Pilarczyk_Graff_2015, title={An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds}, volume={45}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2015.014}, DOI={10.12775/TMNA.2015.014}, abstractNote={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/}.}, number={1}, journal={Topological Methods in Nonlinear Analysis}, author={Pilarczyk, Paweł and Graff, Grzegorz}, year={2015}, month={Mar.}, pages={273–286} }