Digital topological complexity numbers

Authors: İSMET KARACA, MELİH İS

Abstract: The intersection of topological robotics and digital topology leads to us a new workspace. In this paper we introduce the new digital homotopy invariant digital topological complexity number $TC(X,\kappa)$ for digital images and give some examples and results about it. Moreover, we examine adjacency relations in the digital spaces and observe how $TC(X,\kappa)$ changes when we take a different adjacency relation in the digital spaces.

Keywords: Topological complexity number, digital topology, digital topological complexity number

Full Text: PDF