Cyclic automorphisms of a countable graph and random sum-free sets |
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Authors: | Peter J Cameron |
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Institution: | (1) Merton College, OX1 4JD Oxford, England;(2) California Institute of Technology, 91125 Pasadena, CA, USA |
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Abstract: | Cyclic automorphisms of the countable universal ultrahomogeneous graph are investigated using methods of Baire category and
measure theory. This leads to the study of random sumfree sets; it is shown that the probability that such a set consists
entirely of odd numbers is strictly positive, and bounds are given. |
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Keywords: | |
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