23 citations · 121 across the 26 of their papers we have counts for
5 papers · 1 filter
Most plane curves over finite fields are not blocking
Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip
A plane curve of degree is called \emph{blocking} if every -line in the plane meets at some -point. We prove that the pro…
Maximality of subfields as cliques in Cayley graphs over finite fields
Chi Hoi Yip
We show the maximality of subfields as cliques in a special family of Cayley graphs defined on the additive group of a finite field. In particular, this confirms a conjecture of Yi…
Plane curves giving rise to blocking sets over finite fields
Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip
In recent years, many useful applications of the polynomial method have emerged in finite geometry. Indeed, algebraic curves, especially those defined by Rédei-type polynomials, ar…
On eigenfunctions and maximal cliques of generalised Paley graphs of square order
Sergey Goryainov, Leonid Shalaginov, Chi Hoi Yip
Let GP be the -Paley graph defined on the finite field with order . We study eigenfunctions and maximal cliques in generalised Paley graphs GP, where $m \…
The EKR-module property of pseudo-Paley graphs of square order
Shamil Asgarli, Sergey Goryainov, Huiqiu Lin +1
We prove that a family of pseudo-Paley graphs of square order obtained from unions of cyclotomic classes satisfies the Erdős-Ko-Rado (EKR) module property, in a sense that the char…