31 citations · 32 across the 3 of their papers we have counts for
4 papers
Minimally intersecting filling pairs on surfaces
Tarik Aougab, Shinnyih Huang
Let denote the closed orientable surface of genus . We construct exponentially many mapping class group orbits of pairs of simple closed curves which fill and in…
An Improvement To Zaremba's Conjecture
ShinnYih Huang
We prove there exists a density one subset $\dd \subset \N$ such that each $n \in \dd$ is the denominator of a finite continued fraction with partial quotients bounded by 5.
Strongly Cancellative and Recovering Sets On Lattices
ShinnYih Huang, Hoda Bidkhori
We use information theory to study recovering sets and strongly cancellative sets $\C_L$ on different lattices. These sets are special classes of recovering pairs and cancel…
A Bijective Proof For Forest Reciprocity Theorem
ShinnYih Huang
In this paper, we study the graph polynomial that counts spanning rooted forests f_g of a given graph. This polynomial has a remarkable reciprocity property. We give a new bijectiv…