Publications associées (7)

A Network Calculus Analysis of Asynchronous Mechanisms in Time-Sensitive Networks

Ehsan Mohammadpour

Time-sensitive networks provide worst-case guarantees for applications in domains such as the automobile, automation, avionics, and the space industries. A violation of these guarantees can cause considerable financial loss and serious damage to human live ...
EPFL2023

Cross-sections of line configurations in R-3 and (d-2)-flat configurations in R-d

Andres Jacinto Ruiz Vargas

We consider sets L = {l(1),..., l(n)} of n labeled lines in general position in R-3, and study the order types of point sets {p(1),..., p(n)} that stem from the intersections of the lines in L with (directed) planes Pi, not parallel to any line of L, that ...
ELSEVIER SCIENCE BV2019

A Polynomial Regularity Lemma For Semialgebraic Hypergraphs And Its Applications In Geometry And Property Testing

János Pach

In this paper, we prove several extremal results for geometrically defined hypergraphs. In particular, we establish an improved lower bound, single exponentially decreasing in k, on the best constant delta > 0 such that the vertex classes P-1,...,P-k of ev ...
Society for Industrial and Applied Mathematics2016

Ramsey-Type Results For Semi-Algebraic Relations

János Pach

A k-ary semi-algebraic relation E on R-d is a subset of R-kd, the set of k-tuples of points in R-d, which is determined by a finite number of polynomial inequalities in kd real variables. The description complexity of such a relation is at most t if d, k < ...
Amer Mathematical Soc2014

Ramsey-type results for semi-algebraic relations

János Pach

A k-ary semi-algebraic relation E on R^d is a subset of R^{kd}, the set of k-tuples of points in R^d, which is determined by a finite number of polynomial equations and inequalities in kd real variables. The description complexity of such a relation is at ...
2013

Order Types of Convex Bodies

We prove a Hadwiger transversal-type result, characterizing convex position on a family of non-crossing convex bodies in the plane. This theorem suggests a definition for the order type of a family of convex bodies, generalizing the usual definition of ord ...
2011

ODPOP: An algorithm for Open/Distributed Constraint Optimization

Boi Faltings, Adrian Petcu

We propose ODPOP, a new distributed algorithm for \textit{open multiagent combinatorial optimization} \cite{Faltings2005c}. The ODOP algorithm explores the same search space as the dynamic programming algorithm DPOP~\cite{Petcu2005} or the AND/OR search al ...
2006

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