5 papers
On the structure and generic non-Cartesianity of polynomials in product spaces
Chun-Yen Shen, Tuyen Trung Truong, Wei-Hsuan Yu
We develop a general theory of Cartesian and non-Cartesian polynomials on products of complex spaces . We prove that, for an…
Sharing tea on a graph
J. Pascal Gollin, Kevin Hendrey, Hao Huang +6
Motivated by the analysis of consensus formation in the Deffuant model for social interaction, we consider the following procedure on a graph . Initially, there is one unit of t…
Constructions of Large m-Distance Sets on Triangular Lattice
Li-Ren Bao, Wei-Hsuan Yu
An -distance set is a collection of points such that the distances between any two points have possible values. We use two different methods to construct large -distance…
Bounds on two-distance sets in Euclidean space and Unit Sphere
Wei-Chun Chen, Wei-Hsuan Yu
We establish upper bounds for the size of two-distance sets in Euclidean space and spherical two-distance sets. The main recipe for obtaining upper bounds is the spectral method. W…
Hegedus' Conjecture and Tighter Upper Bounds for Equidistant Codes in Hamming Spaces
Sihuang Hu, Hexiang Huang, Wei-Hsuan Yu
An equidistant code is a code in the Hamming space such that two distinct codewords have the same Hamming distance. This paper investigates the bounds for equidistant codes in Hamm…