--- res: bibo_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/}.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Grzegorz foaf_name: Graff, Grzegorz foaf_surname: Graff - foaf_Person: foaf_givenName: Pawel foaf_name: Pilarczyk, Pawel foaf_surname: Pilarczyk foaf_workInfoHomepage: http://www.librecat.org/personId=3768D56A-F248-11E8-B48F-1D18A9856A87 bibo_doi: 10.12775/TMNA.2015.014 bibo_issue: '1' bibo_volume: 45 dct_date: 2015^xs_gYear dct_language: eng dct_publisher: Juliusz Schauder Center for Nonlinear Studies@ dct_title: An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds@ ...