8 citations · 23 across the 6 of their papers we have counts for
7 papers
Four-variable expanders over the prime fields
Doowon Koh, Hossein Nassajian Mojarrad, Thang Pham +1
Let be a prime field of order , and be a set in with very small size in terms of . In this note, we show that the number of distinct cubic…
Near equipartitions of colored point sets
Andreas F. Holmsen, Jan Kynčl, Claudiu Valculescu
Suppose that points in general position in the plane are colored red and blue, with at least points of each color. We show that then there exist pairwise disjoint conv…
Incidence bounds and applications over finite fields
Nguyen Duy Phuong, Thang Pham, Nguyen Minh Sang +2
In this paper we introduce a unified approach to deal with incidence problems between points and varieties over finite fields. More precisely, we prove that the number of incidence…
Distinct distances between points and lines
Micha Sharir, Shakhar Smorodinsky, Claudiu Valculescu +1
We show that for points and lines in the real plane, the number of distinct distances between the points and the lines is , as long as $m^{1/2}\le n\le m…
On the number of ordinary conics
Thomas Boys, Claudiu Valculescu, Frank de Zeeuw
We prove a lower bound on the number of ordinary conics determined by a finite point set in . An ordinary conic for a subset of is a conic that is…
Schwartz-Zippel bounds for two-dimensional products
Hossein Nassajian Mojarrad, Thang Pham, Claudiu Valculescu +1
We prove bounds on intersections of algebraic varieties in with Cartesian products of finite sets from , and we point out connections with several clas…