Alice M. W. Hui

activity

20162022

collaborators

6 papers

math.CO2022

Constructions of tight sets of the Hermitian polar space $\mc{H}(2r-1,q^2)$

Alice M. W. Hui, Weicong Li, Qing Xiang +1

In this paper, we construct two infinite families of tight sets with parameters $(q^{2 r - 2} - 1)$ and $(q^{2 r - 1} - q^{2 r - 2})$ , respectively, in the Hermitian polar space $\mathcal{H}(2r…

math.CO2019

Characterising hyperbolic hyperplanes of a non-singular quadric in $P G (4, q)$

S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson +1

Let $H$ be a non-empty set of hyperplanes in $P G (4, q)$ , $q$ even, such that every point of $P G (4, q)$ lies in either $0$ , $\frac{1}{2} q^{3}$ or $\frac{1}{2} (q^{3} + q^{2})$ hyperplanes of $H$ , and…

math.CO2019

Characterising elliptic solids of $Q (4, q)$ , $q$ even

S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson

Let $E$ be a set of solids (hyperplanes) in $P G (4, q)$ , $q$ even, $q > 2$ , such that every point of $P G (4, q)$ lies in either $0$ , $\frac{1}{2} q^{3}$ or $\frac{1}{2} (q^{3} - q^{2})$ solids of $E$ , and…

math.CO2017

The vertex-isoperimetric number of the incidence andnon-incidence graphs of unitals

Alice M. W. Hui, Muhammad Adib Surani, Sanming Zhou

We derive upper and lower bounds for the vertex-isoperimetric number of the incidence graphs of unitals and determine its order of magnitude. In the case when a unital contains suf…

math.CO2016

Switched graphs of some strongly regular graphs related to the symplectic graph

Alice M. W. Hui, Bernardo Rodrigues

Applying a method of Godsil and McKay \cite{GM} to some graphs related to the symplectic graph, a series of new infinite families of strongly regular graphs with parameters $(2^n\p…

math.SG2016

A geometric proof of Wilbrink's characterization of even order classical unitals