2 citations · 6 across the 11 of their papers we have counts for
11 papers
Majorization and additive tuples in
Sophie Huczynska, Firdavs Rakhmonov, Chi Hoi Yip
Majorization is a fundamental tool for comparing how "spread out" the entries of two vectors are. Key majorization results were obtained for the integers by Hardy, Littlewood and P…
An Erdős-Ko-Rado theorem for binary codes
Shamil Asgarli, Chi Hoi Yip
We study intersecting families of words from the Erdős-Ko-Rado perspective. When the alphabet size is , a maximum intersecting family is not necessarily a star. However, we prov…
Two-Distance Sets over Finite Fields
Jozsef Solymosi, Chi Hoi Yip
We study two-distance sets in standard -dimensional quadratic spaces over finite fields. In characteristic , we construct sets attaining the full Larman--Rogers--Seidel bound…
Generalized additive bases and difference bases for Cartesian product of finite abelian groups
Shuxing Li, Chi Hoi Yip
For a finite group and positive integer , a -additive basis is a subset of whose pairwise sums cover each element of at least times, with -difference bases…
Entrywise transforms preserving matrix positivity and non-positivity
Dominique Guillot, Himanshu Gupta, Prateek Kumar Vishwakarma +1
We characterize real and complex functions which, when applied entrywise to square matrices, yield a positive definite matrix if and only if the original matrix is positive definit…
Upper Bounds on Polynomial Root Separation
Greg Knapp, Chi Hoi Yip
In this paper, we consider the relationship between the Mahler measure of a polynomial and its separation. In 1964, Mahler proved that if is separable of d…
On the fractional parts of certain sequences of
Xiang Gao, Chi Hoi Yip
Assume that is an algebraic number and is a real number. We are concerned with the distribution of the fractional parts of the sequence . Under various Dio…
A strengthening of McConnel's theorem on permutations over finite fields
Chi Hoi Yip
Let be a prime, , and . A celebrated result of McConnel states that if is a proper subgroup of , and $f:\mathbb{F}_q \to \m…
Improved upper bounds on Diophantine tuples with the property
Chi Hoi Yip
Let be a non-zero integer. A set of positive integers is a Diophantine tuple with the property if is a perfect square for each with . It…
On an Erdős similarity problem in the large
Xiang Gao, Yuveshen Mooroogen, Chi Hoi Yip
In a recent paper, Kolountzakis and Papageorgiou ask if for every , there exists a set such that for every int…
Restricted sumsets in multiplicative subgroups
Chi Hoi Yip
We establish the restricted sumset analogue of the celebrated conjecture of Sárközy on additive decompositions of the set of nonzero squares over a finite field. More precisely, we…