2 problems

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The logarithmic compaction conjecture for increasing trees
Logarithmic compaction conjecture. On average, the compacted tree has size
Conjectureopenanalytic-combinatorics increasing-trees tree-compactionarXiv posted 2 days ago
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Stanley–Wilf-like conjecture for pattern avoidance in increasing trees
Stanley–Wilf-like conjecture. There is a constant $C$ , depending on the pattern and on $\phi$ , such that
Conjecturesolvedenumerative-combinatorics increasing-trees pattern-avoidancearXiv posted 2 days ago

The logarithmic compaction conjecture for increasing trees