Digital Jordan curves and surfaces with respect to a graph connectedness

DOI10.2989/16073606.2021.2011466OpenAlexW4205407320MaRDI QIDQ5880787

Josef Šlapal

Publication date: 6 March 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2021.2011466

zbMATH Keywords

connectednesspathsimple graphstrong productJordan curvedigital spaceJordan surface

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Paths and cycles (05C38) Distance in graphs (05C12) Connectivity (05C40) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

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• Graph multiplication
• Computer graphics and connected topologies on finite ordered sets
• A Jordan surface theorem for three-dimensional digital spaces
• Path-induced closure operators on graphs for defining digital Jordan surfaces
• Graphs with a path partition for structuring digital spaces
• A theory of binary digital pictures
• Digital Topology
• A Topological Approach to Digital Topology
• Connectivity in Digital Pictures

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