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On Symmetric Invertible Binary Pairing Functions

Published 22 May 2021 in math.CO and cs.DM | (2105.10752v1)

Abstract: We construct a symmetric invertible binary pairing function $F(m,n)$ on the set of positive integers with a property of $F(m,n)=F(n,m)$. Then we provide a complete proof of its symmetry and bijectivity, from which the construction of symmetric invertible binary pairing functions on any custom set of integers could be seen.

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