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Tag Archives: graph endomorphisms
A paper on synchronization
A paper on synchronization, written with João Araújo, Wolfram Bentz, Gordon Royle and Artur Schaefer, has just appeared on the arXiv. It is quite a substantial paper, and goes well beyond anything we have published (or that I have written … Continue reading
Posted in exposition
Tagged graph endomorphisms, primitive permutation groups, synchronization
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Orbital combinatorics
Yesterday I went to Edinburgh to give a colloquium talk about synchronization, including the recent stuff about butterflies. The day before, I had discussed Artur Schäfer’s work with him, and he expressed a hope that if he went to the … Continue reading
Random synchronization
Mikhail Berlinkov posted a paper on the arXiv this week proving that two random transformations of an nset generate a synchronizing semigroup with probability 1o(1/n) for large n. His approach was quite different from the one I’d been taking, using … Continue reading
Posted in mathematics, open problems
Tagged graph endomorphisms, random transformations, synchronization
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