Combinatorics Seminar 2017


Speaker: Peter Cameron, University of St Andrews

Date: Tue, Nov 21, 2017

Time: 17:10 - 18:10

Venue: Middle Meeting Room

Title: Foldings of De Bruijn graphs

Abstract:

De Bruijn graphs were introduced for the construction of universal cycles over a given finite alphabet, cycles with the property that every $k$-tuple of symbols occurs just once in the cycle. After discussing a related question, still unsolved, I will consider De Bruijn graphs as automata defining homeomorphisms of Cantor space, and their connection with objects such as Thompson's group V and its generalisations, and endomorphisms of the shift dynamical system.

Slides: View slides


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