15 citations · 20 across the 10 of their papers we have counts for
4 papers · 1 filter
Algebraic invariants of projective monomial curves associated to generalized arithmetic sequences
Isabel Bermejo, Eva García-Llorente, Ignacio García-Marco
Let be an infinite field and let be a generalized arithmetic sequence of positive integers, i.e., there exist such that $m_i = h m_…
Drawing graphs with vertices and edges in convex position
Ignacio García-Marco, Kolja Knauer
A graph has strong convex dimension , if it admits a straight-line drawing in the plane such that its vertices are in convex position and the midpoints of its edges are also in…
Lower Bounds by Birkhoff Interpolation
Ignacio Garcia-Marco, Pascal Koiran
In this paper we give lower bounds for the representation of real univariate polynomials as sums of powers of degree 1 polynomials. We present two families of polynomials of degree…
Log-concavity and lower bounds for arithmetic circuits
Ignacio García-Marco, Pascal Koiran, Sébastien Tavenas
One question that we investigate in this paper is, how can we build log-concave polynomials using sparse polynomials as building blocks? More precisely, let $f = \sum\_{i = 0}^d a\…