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

Document Type : Ischia Group Theory 2012


Università di Roma "La Sapienza"


‎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.


Main Subjects

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Volume 2, Issue 1 - Serial Number 1
Proceedings of the Ischia Group Theory 2012
March 2013
Pages 11-35
  • Receive Date: 24 September 2012
  • Revise Date: 29 October 2012
  • Accept Date: 30 October 2012
  • Published Online: 01 March 2013