Person
Adrian Claudiu Valculescu
This person is no longer with EPFL
Related publications (6)
Distinct distances between points and lines
Frank de Zeeuw, Adrian Claudiu Valculescu, Shakhar Smorodinsky
We show that for m points and n lines in R-2, the number of distinct distances between the points and the lines is Omega(m(1/5)n(3/5)), as long as m(1/2)
Elsevier Science Bv2018Four-Variable Expanders Over The Prime Fields
Adrian Claudiu Valculescu, Van Thang Pham
Let F-p be a prime field of order p > 2, and let A be a set in F-p with very small size in terms of p. In this note, we show that the number of distinct cubic distances determined by points in A x A satisfies vertical bar(A - A)(3) + (A - A)(3 vertical bar ...
AMER MATHEMATICAL SOC2018Algebraic and topological methods in combinatorics
The present thesis deals with problems arising from discrete mathematics, whose proofs make use of tools from algebraic geometry and topology. The thesis is based on four papers that I have co-authored, three of which have been published in journals, and o ...
EPFL2017Near equipartitions of colored point sets
Jan Kyncl, Adrian Claudiu Valculescu, Andreas Fukami Holmsen
Suppose that nk points in general position in the plane are colored red and blue, with at least n points of each color. We show that then there exist n pairwise disjoint convex sets, each of them containing k of the points, and each of them containing poin ...
Elsevier Science Bv2017Distinct Values Of Bilinear Forms On Algebraic Curves
Frank de Zeeuw, Adrian Claudiu Valculescu
Let B-M : C x C -> C be a bilinear form B-M(p, q) - p(T)Mq, with an invertible matrix M is an element of C-2x2. We prove that any finite set S contained in an irreducible algebraic curve C of degree d in C determines Omega(d)(vertical bar S vertical bar(4/ ...
Univ Calgary, Dept Math & Statistics2016On The Number Of Ordinary Conics
Frank de Zeeuw, Adrian Claudiu Valculescu
We prove a lower bound on the number of ordinary conics determined by a finite point set in R-2. An ordinary conic for S subset of R-2 is a conic that is determined by five points of S and contains no other points of S. Wiseman and Wilson proved the Sylves ...
Siam Publications2016