arXiv
Open Access
2024
The number of symmetric chain decompositions
István Tomon
Abstrak
We prove that the number of symmetric chain decompositions of the Boolean lattice $2^{[n]}$ is $$\left(\frac{n}{2e}+o(n)\right)^{2^n}.$$ Furthermore, the number of symmetric chain decompositions of the hypergrid $[t]^n$ is $$n^{(1-o_n(1))\cdot t^n}.$$
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István Tomon
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Informasi Jurnal
- Tahun Terbit
- 2024
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