2 problems

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The conjecture on the Dyck set extended by two non-collectable 4-patterns
Let $\mathcal{P}^{(4)}_{\mathrm{Dyck}}$ be the set of Dyck $4$ -patterns, and let … For the random ordered $4$ -uniform hyper-matching $\mathbb{RM}^{(4)}_{n}$ , let…
Conjectureopenhypergraph-theory ordered-patterns random-structuresarXiv posted 2 days ago
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The conjecture on triplets of non-harmonious patterns
Let $r$ be a positive integer and let $\mathcal{P}$ be a set of three $r$ -patterns that are pairwise non-harmonious, with at least one pattern collectable. For a random ordered $r$ …
Conjectureopenhypergraph-theory ordered-patterns random-structuresarXiv posted 2 days ago

The conjecture on the Dyck set extended by two non-collectable 4-patterns