Replacement and zig-zag products, Cayley graphs and Lamplighter random walk

We investigate two constructions - the replacement and the zig-zag product of graphs - describing several fascinating connections with Combinatorics, via the notion of expander graph, Group Theory, via the notion of semidirect product and Cayley graph, andwith Markov chains, via the Lamplighter rand...

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Bibliographic Details
Main Author: Alfredo Donno
Format: Article
Language:English
Published: University of Isfahan 2013-03-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=1932&_ob=cab6bdc876cc1f685e588bddab0243fc&fileName=full_text.pdf.