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

DOI10.1515/MATH-2019-0121OpenAlexW2991610052MaRDI QIDQ2111710

Josef Šlapal

Publication date: 17 January 2023

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

Full work available at URL: https://doi.org/10.1515/math-2019-0121

zbMATH Keywords

connectednessclosure operatorpathsimple graphdigital spaceKhalimsky topologydigital surfaceJordan surface theorem

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Topological spaces and generalizations (closure spaces, etc.) (54A05) Connected and locally connected spaces (general aspects) (54D05) Discrete geometry (52C99)

Related Items (1)

Digital Jordan curves and surfaces with respect to a graph connectedness

Cites Work

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• Graph multiplication
• Boundaries in digital planes
• Computer graphics and connected topologies on finite ordered sets
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• Galois connections between sets of paths and closure operators in simple graphs
• Graphs with a path partition for structuring digital spaces
• Continuous analogs of axiomatized digital surfaces
• Jordan Curve Theorems with Respect to Certain Pretopologies on $\mathbb Z^2$
• Surfaces in three-dimensional digital images
• A Topological Approach to Digital Topology
• Recognition of surfaces in three-dimensional digital images
• Closure operators on graphs for modeling connectedness in digital spaces

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