Publications de Gábor Tardos | EPFL Graph Search

Edge Ordered Turan Problems

Doemoetoer Palvoelgyi, Gábor Tardos, Abhishek Methuku

We introduce the Turan problem for edge ordered graphs. We call a simple graph edge ordered, if its edges are linearly ordered. An isomorphism between edge ordered graphs must respect the edge order. A subgraph of an edge ordered graph is itself an edge or ...

COMENIUS UNIV2019

On the Turan number of ordered forests

Gábor Tardos, Istvan Tomon, Dániel József Korándi

An ordered graph H is a simple graph with a linear order on its vertex set. The corresponding Turan problem, first studied by Pach and Tardos, asks for the maximum number ex(

ACADEMIC PRESS INC ELSEVIER SCIENCE2019

Planar Point Sets Determine Many Pairwise Crossing Segments

János Pach, Gábor Tardos

We show that any set of n points in general position in the plane determines n(1-o(1)) pairwise crossing segments. The best previously known lower bound, Omega(root n), was proved more than 25 years ago by Aronov, Erdos, Goddard, Kreitman, Krugerman, Pach, ...

ASSOC COMPUTING MACHINERY2019

A Crossing Lemma for Jordan curves

János Pach, Gábor Tardos

2018

CONTROLLING LIPSCHITZ FUNCTIONS

János Pach, Gábor Tardos, Andrei Kupavskii

2018

Improved bounds on the Hadwiger-Debrunner numbers

Gábor Tardos, Shakhar Smorodinsky

2018

Tilings of the plane with unit area triangles of bounded diameter

János Pach, Gábor Tardos, Andrei Kupavskii

2018

Tilings with noncongruent triangles

János Pach, Gábor Tardos

2018

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

János Pach, Gábor Tardos

A long-standing conjecture of Richter and Thomassen states that the total number of intersection points between any n simple closed Jordan curves in the plane, so that any pair of them intersect and no three curves pass through the same point, is at least ...

Cambridge Univ Press2016

Separation with restricted families of sets

János Pach, Gábor Tardos, Márton Naszódi, Zsolt Langi

Given a finite n-element set X, a family of subsets F subset of 2(X) is said to separate X if any two elements of X are separated by at least one member of F. It is shown that if vertical bar F vertical bar > 2(n-1), then one can select vertical bar log n ...

Academic Press Inc Elsevier Science2016