Digital topological complexity numbers | Zendy

İsmet Karaca | Zendy; Melih İs | Zendy

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Digital topological complexity numbers

Author(s) -

İsmet Karaca,

Melih İs

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1807-101

Subject(s) - digital topology , mathematics , homotopy , adjacency list , intersection (aeronautics) , topology (electrical circuits) , invariant (physics) , zero dimensional space , digital geometry , relation (database) , topological space , discrete mathematics , pure mathematics , digital image , combinatorics , computer science , topological vector space , artificial intelligence , data mining , general topology , extension topology , image processing , mathematical physics , image (mathematics) , engineering , aerospace engineering

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,κ) 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,κ) changes when we take a different adjacency relation in the digital spaces.

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