Digital topological complexity numbers

WOS: 000451344700028The 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.Scientific and Technological Research Council of TurkeyTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [TUBITAK-2211-A]The second author was granted a fellowship by the Scientific and Technological Research Council of Turkey (TUBITAK-2211-A)