An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds Graff, Grzegorz Pilarczyk, Pawel 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/}. Juliusz Schauder Center for Nonlinear Studies 2015 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/1563 Graff G, Pilarczyk P. An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds. <i>Topological Methods in Nonlinear Analysis</i>. 2015;45(1):273-286. doi:<a href="https://doi.org/10.12775/TMNA.2015.014">10.12775/TMNA.2015.014</a> eng info:eu-repo/semantics/altIdentifier/doi/10.12775/TMNA.2015.014 info:eu-repo/semantics/closedAccess