Title of article
REPLACEMENT AND ZIG-ZAG PRODUCTS, CAYLEY GRAPHS AND LAMPLIGHTER RANDOM WALK
Author/Authors
دونو، آلفردو نويسنده Dipartimento di Scienze di Base e Applicate per lIngegneria, Sezione di Matematica, Sapienza Universita di Roma, Via A. Scarpa, 16 00161 Roma, Italia DONNO, ALFREDO
Issue Information
فصلنامه با شماره پیاپی 0 سال 2013
Pages
25
From page
11
To page
35
Abstract
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, and with Markov chains, via
the Lamplighter random walk. Many examples are provided.
Journal title
International Journal of Group Theory
Serial Year
2013
Journal title
International Journal of Group Theory
Record number
842092
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