Author

Zixiang Xu

h-index 6 View on Semantic Scholar

We have 2 of 38 papers

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Aug 2026

Economical lattice coverings by determined segments

For fixed $d\geq 2$, let $\tau_d(n)$ be the minimum size of a set $S\subseteq\{0,\ldots,n\}^d$ such that the affine lines determined by pairs of distinct points of $S$ cover the grid. Let $\sigma_d(n)$ be the analogous minimum when every grid point must lie on the closed segment joining two distinct points of $S$. A ce...

Gen-Nian Ge, Yang Shu, Zixiang Xu · 0 citations

Preprint Jul 2026

Largest Sperner families with restricted differences

Let $L$ be a fixed set of positive integers. A family $\mathcal{F}\subseteq 2^{[n]}$ is called $L$-differencing if $\lvert A\setminus B\rvert\in L$ for every ordered pair of distinct members $A,B\in\mathcal{F}$. A longstanding conjecture of Frankl, proposed in 1985, asserts that every $L$-differencing family has size a...

Gen-Nian Ge, Zixiang Xu, Xiao-Chen Zhao · 0 citations