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An Optimal Lower Bound for the Size of Periodic Digraphs

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Publication:5889975
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DOI10.47443/dml.2023.015OpenAlexW4361218390MaRDI QIDQ5889975

Sergiy Kozerenko

Publication date: 28 April 2023

Published in: Discrete Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.47443/dml.2023.015

zbMATH Keywords

Sharkovsky's theoremperiodic digraphMarkov graph


Mathematics Subject Classification ID

Directed graphs (digraphs), tournaments (05C20) Combinatorial dynamics (types of periodic orbits) (37E15)




Cites Work

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  • Vertex maps for trees: algebra and periods of periodic orbits
  • Number of digraphs of periodic points of a continuous mapping of an interval into itself
  • Periodic digraphs and their properties
  • A graph-theoretic proof of Sharkovsky's theorem on the periodic points of continuous functions
  • Periodic Points of Continuous Functions
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