Divergent permutations

April 10, 2019 · The Ethereal · 🏛 Journal of Combinatorial Theory

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Authors Emanuela Fachini, János Körner arXiv ID 1904.05113 Category math.CO: Combinatorics Cross-listed cs.IT Citations 0 Venue Journal of Combinatorial Theory Last Checked 3 months ago
Abstract
Two permutations of the natural numbers diverge if the absolute value of the difference of their elements in the same position goes to infinity. We show that there exists an infinite number of pairwise divergent permutations of the naturals. We relate this result to more general questions about the permutation capacity of infinite graphs.
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