Strong Transitivity and Graph Maps

• Autorzy: Katsuya Yokoi
• Języki publikacji: EN

Abstrakty

EN

We study the relation between transitivity and strong transitivity, introduced by W. Parry, for graph self-maps. We establish that if a graph self-map f is transitive and the set of fixed points of $f^{k}$ is finite for each k ≥ 1, then f is strongly transitive. As a corollary, if a piecewise monotone graph self-map is transitive, then it is strongly transitive.

Kategorie tematyczne

• 37E25: Maps of trees and graphs
• 37B20: Notions of recurrence

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 4
• Strony: 377-388

Daty

wydano

2005

Twórcy

autor

Katsuya Yokoi

• Department of Mathematics, Shimane University, Matsue, 690-8504, Japan

Identyfikatory

DOI

10.4064/ba53-4-3