23 citations · 121 across the 26 of their papers we have counts for
26 papers
Intersecting families and nonvanishing multivariate polynomials over finite fields
Shamil Asgarli, Bence Csajbók, Chi Hoi Yip
Let be the space of polynomials in variables over of degree at most . Two polynomials intersect if $f(\mathbf a)…
Blocking sets from a union of plane curves
Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip
Motivated by a question of Erdős on blocking sets in a projective plane that intersect every line only a few times, several authors have used unions of algebraic curves to construc…
Cliques in Paley graphs of square order and in Peisert graphs
Andries E. Brouwer, Sergey Goryainov, Leonid Shalaginov +1
We study maximal cliques in the collinearity graphs of Desarguesian nets, give some structural results and some numerical information. In particular, we show for Desarguesian nets…
Hypersurfaces passing through the Galois orbit of a point
Shamil Asgarli, Jonathan Love, Chi Hoi Yip
Asgarli, Ghioca, and Reichstein proved that if is a field with , then for any positive integers and , and separable field extension with degree $m=\binom{n+…
Avoiding short progressions in Euclidean Ramsey theory
Gabriel Currier, Kenneth Moore, Chi Hoi Yip
We provide a general framework to construct colorings avoiding short monochromatic arithmetic progressions in Euclidean Ramsey theory. Specifically, if denotes colline…
Mutual position of two smooth quadrics over finite fields
Shamil Asgarli, Chi Hoi Yip
Given two irreducible conics and over a finite field with odd, we show that there are points in such…