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.
Topological complexity number, digital topology, digital topological complexity number
KARACA, İSMET and İS, MELİH
"Digital topological complexity numbers,"
Turkish Journal of Mathematics: Vol. 42:
6, Article 27.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss6/27