Jineon Baek

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math.CO2026

A Computational Obstruction to Swapping Area and Dinv: An Automata-Theoretic View of the $q, t$ -Catalan Symmetry

Jineon Baek, Byung-Hak Hwang, Joonhyun La +1

Algebraic combinatorics often seeks bijections that explain identities between distributions object by object. Encoding combinatorial objects as words lets automata theory study su…

math.CO2024

A note on the Erdős conjecture about square packing

Jineon Baek, Junnosuke Koizumi, Takahiro Ueoro

Let $f (n)$ denote the maximum total length of the sides of $n$ squares packed inside a unit square. Erdős conjectured that $f (k^{2} + 1) = k$ . We show that the conjecture is true if we a…

A Computational Obstruction to Swapping Area and Dinv: An Automata-Theoretic View of the q,t-Catalan Symmetry

A note on the Erdős conjecture about square packing

A Computational Obstruction to Swapping Area and Dinv: An Automata-Theoretic View of the $q, t$ -Catalan Symmetry