Zhi Yao

collaborators

2 papers

math.CO2026

Exact Diameter Windows for Random Cayley Graphs on Odd-Order Abelian Groups

Yao Zhi

Let $d\ge2$ be fixed and let $G_n$ be finite abelian groups of odd orders $N_n\to\infty$. We determine the centered diameter-$d$ critical window for the standard random Cay…

math.CO2026

Quadratic Expansion over Prime Fields via Centered Collisions and Popular-Sum Amplification

Zhi Yao

Let $p$ be an odd prime, let $\emptyset \neq = A \subseteq F_{p}$ have cardinality $N$ , and let $f \in F_{p} [x, y]$ be a non-degenerate quadratic polynomial. Writing $S=|A+A|…