Generalizing the rotation interval to vertex maps on graphs

DOI10.1090/S0002-9947-2014-06229-6zbMath1359.37095arXiv1209.4996MaRDI QIDQ5246998

P. Christopher Staecker, Chris Bernhardt

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4996

zbMATH Keywords

graphperiodic orbitsrotation numberrotation intervalvertex maps\(\mathbb{Q}\)-grouphomotopic to constant map

Mathematics Subject Classification ID

Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems involving maps of trees and graphs (37E25) Rotation numbers and vectors (37E45)

Cites Work

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• Vertex maps for trees: algebra and periods of periodic orbits
• Rotation sets for graph maps of degree 1
• Bifurcations and stability of families of diffeomorphisms
• Rotation set for maps of degree 1 on the graph sigma
• Vertex maps on graphs-trace theorems
• On the uniqueness of the fixed point index on differentiable manifolds
• Rotation matrices for vertex maps on graphs
• A Sharkovsky theorem for vertex maps on trees
• Asymptotic Homotopy Cycles for Flows and Π 1 de Rham Theory
• Lectures on Nielsen fixed point theory
• Rotation Sets for Maps of Tori
• Realizing Rotation Vectors for Torus Homeomorphisms
• On free D‐ groups

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