5 problems

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The Baxter permutation longest increasing subsequence exponent conjecture
A Baxter permutation of size $n$ is a permutation avoiding the two patterns specified in the source, and bipolar-oriented planar maps with general face degrees correspond to Baxter…
Conjectureopenbaxter-permutations directed-paths planar-mapsarXiv posted 2 days ago
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Dilks's bijectivity conjecture for Baxter permutations
For a subset $S\subseteq[n]$ , a lattice path of length $n$ confined to the quarter plane $\mathbb{N}^2$ using only vertical and horizontal steps encodes $S$ if, for each…
Conjectureopenbaxter-permutations enumerative-combinatorics lattice-pathsarXiv posted 2 days ago
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Generality conjecture for coalescent-walk processes
For $[? Let$ [? no
Conjectureopenbaxter-permutations probability-theory scaling-limitsarXiv posted 2 days ago
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Martinez–Savage's conjecture on Baxter numbers and restricted inversion sequences
Martinez–Savage's conjecture.
Conjectureopenbaxter-permutations inversion-sequences pattern-avoiding-permutationsarXiv posted 2 days ago
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Bijection conjecture for permutations compatible with alternating Baxter permutations
Let alternating Baxter permutations be the permutations considered in the paper, and let the compatibility relation associate permutations with alternating Baxter permutations. Bij…
Conjectureopenbaxter-permutations permutation-patternsarXiv posted 2 days ago

5 problems

The Baxter permutation longest increasing subsequence exponent conjecture

Dilks's bijectivity conjecture for Baxter permutations

Generality conjecture for coalescent-walk processes

Martinez–Savage's conjecture on Baxter numbers and restricted inversion sequences

Bijection conjecture for permutations compatible with alternating Baxter permutations