3 papers
math.AT2025
On Targeted Complexity of Discrete Motion
Ameneh Babaee, Hanieh Mirebrahimi, Hamid Torabi +1
In this paper, we study targeted simplicial complexity introduced for situations where the configuration space possesses a simplicial structure together with a set o…
math.AT2024
Discrete homotopic distance between Lipschitz maps
Elahe Hoseinzadeh, Hanieh Mirebrahimi, Hamid Torabi +1
In this paper, we investigate a discrete version of the homotopic distance between two -Lipschitz maps for . This distance is defined by specifying a step length t…
math.AT2024
A Discrete Topological Complexity of Discrete Motion Planning
Hadi Hassanzada, Hamid Torabi, Hanieh Mirebrahimi +1
In this paper we generalize the discrete r-homotopy to the discrete (s, r)-homotopy. Then by this notion, we introduce the discrete motion planning for robots which can move discre…