13 citations · 33 across the 27 of their papers we have counts for
29 papers · 1 filter
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…
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…
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…
On Upper Bounds for the Depth of some Classes of Polyhedra
Mojtaba Mohareri, Behrooz Mashayekhy
In this paper, we present upper bounds for the depth of some classes of polyhedra, including: polyhedra with finite fundamental group, polyhedra with abelian or free a…
On Topological Homotopy Groups and Relation to Hawaiian Groups
Ameneh Babaee, Behrooz Mashayekhy, Hanieh Mirebrahimi +2
By generalizing the whisker topology on the th homotopy group of pointed space , denoted by , we show that is a topological group…
On Hawaiian homology groups
Hamid Torabi, Hanieh Mirebrahimi, Ameneh Babaee
In this paper, we introduce a kind of homology which we call Hawaiian homology to study and classify pointed topological spaces. The Hawaiian homology group has advantages of Hawai…