5 citations · 11 across the 4 of their papers we have counts for
4 papers
Tight Bound and Structural Theorem for Joints
Ting-Wei Chao, Hung-Hsun Hans Yu
A joint of a set of lines in is a point that is contained in lines with linearly independent directions. The joints problem asks for the maximum nu…
Kruskal--Katona-Type Problems via the Entropy Method
Ting-Wei Chao, Hung-Hsun Hans Yu
In this paper, we investigate several extremal combinatorics problems that ask for the maximum number of copies of a fixed subgraph given the number of edges. We call problems of t…
Joints of varieties
Jonathan Tidor, Hung-Hsun Hans Yu, Yufei Zhao
We generalize the Guth--Katz joints theorem from lines to varieties. A special case says that planes (2-flats) in 6 dimensions (over any field) have joints, where…
Joints tightened
Hung-Hsun Hans Yu, Yufei Zhao
In -dimensional space (over any field), given a set of lines, a joint is a point passed through by lines not all lying in some hyperplane. The joints problem asks to determi…