2 citations · 7 across the 11 of their papers we have counts for
11 papers
Digital Manifolds With Or Without Boundaries
Melih İs, İsmet Karaca
This work aims to define the concept of manifold, which has a very important place in the topology, on digital images. So, a general perspective is provided for two and three-dimen…
homotopic Distances in Digital Images
Melih İs, İsmet Karaca
We define digital homotopic distance and its higher version. We also mention related notions such as category in the sense of Lusternik-Schnirelmann and complexity in t…
Discrete Topological Complexities of Simplical Maps
Melih İs, İsmet Karaca
In this study, we delve into the discrete TC of surjective simplicial fibrations, aiming to unravel the interplay between topological complexity, discrete geometric structures, and…
Some Properties Of Proximal Homotopy Theory
Melih Is, Ismet Karaca
Nearness theory comes into play in homotopy theory because the notion of closeness between points is essential in determining whether two spaces are homotopy equivalent. While near…
Proximal Motion Planning Algorithms
Melih İs, İsmet Karaca
In this paper, we transfer the problem of measuring navigational complexity in topological spaces to the nearness theory. We investigate the most important component of this proble…
Different Types of Topological Complexity on Higher Homotopic Distance
Melih İs, İsmet Karaca
We first study the higher version of the relative topological complexity by using the homotopic distance. We also introduced the generalized version of the relative topological com…
Higher Topological Complexity For Fibrations
Melih Is, Ismet Karaca
We introduce the higher topological complexity (TC_{n}) of a fibration in two ways: the higher homotopic distance and the Schwarz genus. Then we have some results on this notion re…
Digital Topological Complexity of Digital Maps
Melih Is, Ismet Karaca
In this study, we improve the topological complexity computations on digital images with introducing the digital topological complexity computations of a surjective and digitally c…
Certain topological methods for computing digital topological complexity
Melih Is, Ismet Karaca
In this paper, we examine the relations of two closely related concepts, the digital Lusternik-Schnirelmann category and the digital higher topological complexity, with each other…
Topological Complexities of Finite Digital Images
Melih İs, İsmet Karaca
Digital topological methods are often used on computing the topological complexity of digital images. We give new results on the relation between reducibility and digital contracti…
Counterexamples for Topological Complexity in Digital Images
Melih İs, İsmet Karaca
Digital topology has its own working conditions and sometimes differs from the normal topology. In the area of topological robotics, we have important counterexamples in this study…