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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
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.
📌 3 Key Takeaways
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Objective & Hypothesis:The intersection of topological robotics and digital topology leads to us a new workspace.
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Key Findings & Data: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.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Topological complexity number · digital topology · digital topological complexity number
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.
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Cite This Article
KARACA, İ., İS, M. (2018). Digital topological complexity numbers. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 3173–3181. https://ajindex.com/articles/227828