Geodesic
Strong Transitivity and Graph Maps
Katsuya Yokoi1
1 Department of Mathematics Shimane University Matsue, 690-8504, Japan
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 4, pp. 377-388 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $k \geq 1$, then $f$ is strongly transitive. As a corollary, if a piecewise monotone graph self-map is transitive, then it is strongly transitive.
DOI : 10.4064/ba53-4-3
Keywords: study relation between transitivity strong transitivity introduced parry graph self maps establish graph self map transitive set fixed points finite each geq strongly transitive corollary piecewise monotone graph self map transitive strongly transitive

Katsuya Yokoi 1

1 Department of Mathematics Shimane University Matsue, 690-8504, Japan 
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Katsuya Yokoi. Strong Transitivity and Graph Maps. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 4, pp. 377-388. doi: 10.4064/ba53-4-3

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