Ruiquan Gao

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cs.CC2026

Tarski Fixed Points in Quasi-FPT Queries

Xi Chen, Ruiquan Gao, Yuhao Li +2

We study the query complexity of finding a Tarski fixed point over $[n]^{k}$ . Previous work has left a large gap between $Ω (lo g^{2} n)$ and $lo g^{O (k)} n$ . We show tha…

cs.CC2024

Hardness of Approximate Sperner and Applications to Envy-Free Cake Cutting

Ruiquan Gao, Mohammad Roghani, Aviad Rubinstein +1

Given a so called ''Sperner coloring'' of a triangulation of the $D$ -dimensional simplex, Sperner's lemma guarantees the existence of a rainbow simplex, i.e. a simplex colored by a…