Vertex maps on graphs-trace theorems

DOI10.1186/1687-1812-2011-8zbMath1268.37054OpenAlexW2107690134WikidataQ59270225 ScholiaQ59270225MaRDI QIDQ1952118

Chris Bernhardt

Publication date: 27 May 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-8

zbMATH Keywords

periodic orbitstracegraphsSharkovsky's theoremvertex maps

Mathematics Subject Classification ID

Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems involving maps of trees and graphs (37E25)

Related Items (4)

Rotation matrices for vertex maps on graphs ⋮ Minimal set of periods for continuous self-maps of the eight space ⋮ Vertex maps on graphs – Perron–Frobenius theory ⋮ Generalizing the rotation interval to vertex maps on graphs

Cites Work

• Vertex maps for trees: algebra and periods of periodic orbits
• Dynamics in one dimension
• A Sharkovsky theorem for vertex maps on trees
• A Proof of Sharkovsky's Theorem
• Periods for Continuous Self-Maps of the Figure-Eight Space
• On the Set of Periods for σ Maps
• Periodic behavior on trees
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