2 problems

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Duchi–Guerrini–Rinaldi–Schaeffer's refined fighting fish–ternary tree conjecture
Duchi–Guerrini–Rinaldi–Schaeffer's conjecture. The number of fighting fish with size $n$ , fin length $k$ , having $h$ tails, $i$ ascending strips and $j$ descending strips is equal…
Conjectureopenenumerative-combinatorics fighting-fish ternary-treesarXiv posted 2 days ago
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Superlinear area conjecture for subtree-separated orthogonal drawings of complete ternary trees
Superlinear area conjecture. There exists a constant $\varepsilon>0$ such that every $n$ -node complete ternary tree requires
Conjectureopengraph-drawing orthogonal-drawings ternary-treesarXiv posted 2 days ago

Duchi–Guerrini–Rinaldi–Schaeffer's refined fighting fish–ternary tree conjecture