Counting distinct functional graphs from linear finite dynamical systems

DOI10.1016/j.laa.2022.10.011OpenAlexW3161096000MaRDI QIDQ2093526

Lucas Reis

Publication date: 8 November 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.09814

zbMATH Keywords

partitionsfinite fieldslinear dynamical systemfunctional graph

Mathematics Subject Classification ID

Directed graphs (digraphs), tournaments (05C20) Universality and renormalization of dynamical systems (37E20) Canonical forms, reductions, classification (15A21) Dynamical systems involving maps of trees and graphs (37E25) Dynamical systems over finite ground fields (37P25)

Cites Work

• Unnamed Item
• Applications of the duality method to generalizations of the Jordan canonical form
• On the number of distinct functional graphs of affine-linear transformations over finite fields
• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
• Linear Finite Dynamical Systems

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