Browsing by Author "Borat, Ayşe"
Now showing items 1-10 of 10
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Digital homotopic distance between digital functions
Borat, Ayşe (Universidad Politecnica de Valencia, 2021)In this paper, we define digital homotopic distance and give its relation with LS category of a digital function and of a digital image. Moreover, we introduce some properties of digital homotopic distance such as being ... -
Digital Lusternik-Schnirelmann category
Borat, Ayşe; Vergili, Tane (Scientific Technical Research Council Turkey-Tubitak, 2018)In this paper, we define the digital Lusternik-Schnirelmann category cat(kappa), introduce some of its properties, and discuss how the adjacency relation affects the digital Lusternik-Schnirelmann category. -
Digital Lusternik-Schnirelmann category of digital functions
Vergili, Tane; Borat, Ayşe (2020)Roughly speaking, the digital Lusternik-Schnirelmann category of digital images studies how far a digital image is away from being digitally contractible. The digital LusternikSchnirelmann category (digital LS category, ... -
Digital Lusternik–Schnirelmann category
Borat, Ayşe; Vergili, Tane (2018)In this paper, we define the digital Lusternik–Schnirelmann category cat? , introduce some of its properties, and discuss how the adjacency relation affects the digital Lusternik–Schnirelmann category -
Directed topological complexity of spheres
Borat, Ayşe; Grant, Mark (Springer Nature, 2020)We show that the directed topological complexity [as defined by Goubault (On directed homotopy equivalences and a notion of directed topological complexity, 2017. arXiv:1709.05702)] of the directed n-sphere is 2, for all ... -
Higher dimensional simplicial complexity
Borat, Ayşe (Electronic Journals Project, 2020)In this paper we generalize the simplicial complexity which is defined by Gonzalez in [5], to higher dimensions. We introduce some of its properties such as its relation with the topological complexity and the relation ... -
Higher homotopic distance
Borat, Ayşe; Vergili T. (Juliusz Schauder Center for Nonlinear Analysis, 2021)The concept of the homotopic distance and its higher analogs are introduced in [7]. In this paper we introduce some important properties of higher homotopic distances, investigate the conditions under which cat, secat and ... -
MOTION PLANNING ALGORITHMS FOR CONFIGURATION SPACES IN THE HIGHER DIMENSIONAL CASE
Borat, Ayşe (Juliusz Schauder Ctr Nonlinear Studies, 2016)The aim of this paper is to give an explicit motion planning algorithm for configuration spaces in the higher dimensional case. -
A randomized greedy algorithm for piecewise linear motion planning
Ortiz C.; Lara A.; González J.; Borat, Ayşe (MDPI, 2021)We describe and implement a randomized algorithm that inputs a polyhedron, thought of as the space of states of some automated guided vehicle R, and outputs an explicit system of piecewise linear motion planners for R. The ... -
Symplectically aspherical manifolds with nontrivial Flux groups
Borat, Ayşe (Springer, 2016)We investigate the fundamental group of symplectically aspherical manifolds with nontrivial Flux groups and conclude that such manifolds cannot be symplectically hyperbolic.
