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Galois connections between sets of paths and closure operators in simple graphs

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Publication:1738284
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DOI10.1515/math-2018-0128zbMath1407.05070OpenAlexW2913195700WikidataQ128529821 ScholiaQ128529821MaRDI QIDQ1738284

Josef Šlapal

Publication date: 29 March 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0128

zbMATH Keywords

Galois connectionclosure operatorsimple graphdigital spaceKhalimsky topologyJordan curve theorem


Mathematics Subject Classification ID

Paths and cycles (05C38) Planar graphs; geometric and topological aspects of graph theory (05C10) Galois correspondences, closure operators (in relation to ordered sets) (06A15)


Related Items

Path-induced closure operators on graphs for defining digital Jordan surfaces



Cites Work

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  • Graph multiplication
  • Boundaries in digital planes
  • Computer graphics and connected topologies on finite ordered sets
  • A digital analogue of the Jordan curve theorem
  • Graphs with a path partition for structuring digital spaces
  • Jordan Curve Theorems with Respect to Certain Pretopologies on $\mathbb Z^2$
  • Convenient Closure Operators on $\mathbb Z^2$
  • A Topological Approach to Digital Topology
  • Combinatorial Image Analysis
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