Vertex maps on graphs – Perron–Frobenius theory

DOI10.1080/10236198.2015.1074685zbMath1355.37063arXiv1507.04558OpenAlexW2256942263MaRDI QIDQ2804521

Chris Bernhardt

Publication date: 29 April 2016

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04558

zbMATH Keywords

graphsMarkov matrixPerron-Frobeniusvertex maps

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) Graph operations (line graphs, products, etc.) (05C76)

Cites Work

• Vertex maps on graphs-trace theorems
• Rotation matrices for vertex maps on graphs
• An Introduction to Symbolic Dynamics and Coding
• Periods of orbits for maps on graphs homotopic to a constant map

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