Bijective mapping preserving intersecting antichains for k-valued cubes

Details Bijective mapping preserving intersecting antichains for k-valued cubes Bijective mapping preserving intersecting antichains for k-valued cubes

2011-11-30

arxiv.org/abs/1111.7036v1

Mathematics

Combinatorics

6 pages

Scientific paper

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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