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.

DOI

10.3906/mat-1807-101

Keywords

Topological complexity number, digital topology, digital topological complexity number

First Page

3173

Last Page

3181

Recommended Citation

KARACA, İSMET and İS, MELİH (2018) "Digital topological complexity numbers," Turkish Journal of Mathematics: Vol. 42: No. 6, Article 27. https://doi.org/10.3906/mat-1807-101
Available at: https://journals.tubitak.gov.tr/math/vol42/iss6/27