Vertex maps on graphs - Perron-Frobenius theory

被引：0

作者：

Bernhardt, Chris ^{[1
]}

机构：

[1] Fairfield Univ, Dept Math, Fairfield, CT 06430 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 01期

关键词：

graphs; vertex maps; Markov matrix; Perron-Frobenius;

D O I：

10.1080/10236198.2015.1074685

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this paper is to describe the connections between Perron-Frobenius theory and vertex maps on graphs. In particular, it is shown how Perron-Frobenius theory gives results about the sets of integers that can arise as periods of periodic orbits, about the concepts of transitivity and topological mixing and about horseshoes and topological entropy.

引用

页码：55 / 66

页数：12

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