Yaping Mao

collaborators

4 papers

math.CO2026

New upper bound for multicolor Ramsey numbers

Gang Yang, Yaping Mao

Let $R_{r} (k)$ denote the diagonal $r$ -color graph Ramsey number. We prove that there exist absolute constants $c, K > 0$ such that \[ R_r(k)\le \exp\!\left(-c\frac{k}{r^2\log^4(2r)}\ri…

math.CO2026

Solution to a conjecture of Alon, DÄbski, Grytczuk and PrzybyÅo on fixed-cardinality arithmetic progressions

Yaping Mao, Zhao Wang, Meiqin Wei +1

Fix a positive integer $n$ , and put $B_{d} = {d, 2 d, \dots, n d}$ . Let $M_{k} (n)$ be the least integer $m$ for which one translate of each of $B_{1}, \dots, B_{k}$ can be placed pairwise disjo…

math.CO2026

A complete solution to the biased Alon-Krivelevich-Spencer-SzabÃ³ criterion problem for the discrepancy game

Yaping Mao, Meiqin Wei, Gang Yang

Let $H=(V,\mathcal E)$ be a finite hypergraph. For positive integers $p$ and $q$, the $(p:q)$-biased discrepancy game on $H$ is played in complete rounds. In each round,…

math.CO2025

Gallai-Schur Triples and Related Problems

Yaping Mao, Aaron Robertson, Jian Wang +2

Schur's Theorem states that, for any $r \in Z^{+}$ , there exists a minimum integer $S (r)$ such that every $r$ -coloring of ${1, 2, \dots, S (r)}$ admits a monochromatic solutio…

New upper bound for multicolor Ramsey numbers

Solution to a conjecture of Alon, DÄbski, Grytczuk and PrzybyÅo on fixed-cardinality arithmetic progressions

A complete solution to the biased Alon-Krivelevich-Spencer-SzabÃ³ criterion problem for the discrepancy game

Gallai-Schur Triples and Related Problems

Solution to a conjecture of Alon, DÄbski, Grytczuk and PrzybyÅo on fixed-cardinality arithmetic progressions