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Bijective mapping preserving intersecting antichains for k-valued cubes

Published 30 Nov 2011 in math.CO | (1111.7036v1)

Abstract: Generalizing a result of Miyakawa, Nozaki, Pogosyan and Rosenberg, we prove that there is a one-to-one correspondence between the set of intersecting antichains in a subset of the lower half of the k-valued n-cube and the set of intersecting antichains in the k-valued (n-1)-cube.

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