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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 1

Closure operators associated with networks

Josef SLAPAL
John L. PFALTZ
Pages
91–101
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In particular, the problem of preserving generators by continuous transformations and that of preserving minimal dominating sets by neighborhood homomorphisms are dealt with.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We study network (i.e., undirected simple graph) structures by investigating associated closure operators and the corresponding closed sets.To describe the dynamic behavior of networks, we employ continuous transformations and neighborhood homomorphisms between them.
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Key Findings & Data:These transformations and homomorphisms are then studied.
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Conclusion & Impact:In particular, the problem of preserving generators by continuous transformations and that of preserving minimal dominating sets by neighborhood homomorphisms are dealt with.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Network · Closure operator · Transformation

Abstract

We study network (i.e., undirected simple graph) structures by investigating associated closure operators and the corresponding closed sets.To describe the dynamic behavior of networks, we employ continuous transformations and neighborhood homomorphisms between them. These transformations and homomorphisms are then studied. In particular, the problem of preserving generators by continuous transformations and that of preserving minimal dominating sets by neighborhood homomorphisms are dealt with.

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Cite This Article

SLAPAL, J., PFALTZ, J. L. (2022). Closure operators associated with networks. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 1, 91–101. https://ajindex.com/articles/529967

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