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Spectrum and Entropy for Infinite Directed Graphs

  • Jun Ichi Fujii
Chapter

Abstract

From the viewpoint of operator theory, we discuss spectral properties for infinite directed graphs that have bounded valences. Graphs may have selfloops, but they are assumed not to have multiedges. Note that we use the transpose adjacency operator throughout this chapter by reason of this viewpoint. As a subsidiary effect, one may read this as a visual introduction to operator theory.

Keywords

Infinite directed graph Spectrum Entropy Numerical range Fractal Coding theory 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Arts and Sciences (Information Science)Osaka Kyoiku UniversityKashiwaraJapan

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