most citedProximal Motion Planning Algorithms

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.AT2024

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…

math.AT2024

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…

math.AT2024

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…

math.AT2023

Topological Complexity Related To Multi-Valued Functions

Melih İs

In this paper, we deal with the robot motion planning problem in multi-valued function theory. We first enrich the multi-homotopy studies by introducing a multi-homotopy lifting pr…

math.GN2023

Topological Group Construction In Proximity And Descriptive Proximity Spaces

Melih İs

This paper aims to examine the version of the topological group structure in proximity and especially descriptive proximity spaces, that is, the concepts of proximal group and desc…

math.AT20231 cited

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…