Publications de Doemoetoer Palvoelgyi

Adaptive majority problems for restricted query graphs and for weighted sets

Doemoetoer Palvoelgyi, Balázs Keszegh, Abhishek Methuku

Suppose that the vertices of a graph G are colored with two colors in an unknown way. The color that occurs on more than half of the vertices is called the majority color (if it exists), and any vertex of this color is called a majority vertex. We study th ...

ELSEVIER2021

Adaptive Majority Problems For Restricted Query Graphs And For Weighted Sets

Doemoetoer Palvoelgyi, Balázs Keszegh, Abhishek Methuku

Suppose that the vertices of a graph G are colored with two colors in an unknown way. The color that occurs on more than half of the vertices is called the majority color (if it exists), and any vertex of this color is called a majority vertex. We study th ...

COMENIUS UNIV2019

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

Unsplittable Coverings in the Plane

János Pach, Doemoetoer Palvoelgyi

A system of sets forms an m-fold covering of a set X if every point of X belongs to at least m of its members. A 1-fold covering is called a covering. The problem of splitting multiple coverings into several coverings was motivated by classical density est ...

Springer-Verlag Berlin2016

Unsplittable coverings in the plane

János Pach, Doemoetoer Palvoelgyi

A system of sets forms an m-fold covering of a set X if every point of X belongs to at least m of its members. A 1-fold covering is called a covering. The problem of splitting multiple coverings into several coverings was motivated by classical density est ...

Academic Press Inc Elsevier Science2016

Bin Packing via Discrepancy of Permutations

Friedrich Eisenbrand, Thomas Rothvoss, Doemoetoer Palvoelgyi

A well-studied special case of bin packing is the 3-partition problem, where n items of size > 1/4 have to be packed in a minimum number of bins of capacity one. The famous Karmarkar-Karp algorithm transforms a fractional solution of a suitable LP relaxati ...

Association for Computing Machinery2013

Drawing Planar Graphs Of Bounded Degree With Few Slopes

János Pach, Doemoetoer Palvoelgyi, Balázs Keszegh

We settle a problem of Dujmovic, Eppstein, Suderman, and Wood by showing that there exists a function f with the property that every planar graph G with maximum degree d admits a drawing with noncrossing straight-line edges, using at most f(d) different sl ...

SIAM Publications2013

Vectors in a box

Doemoetoer Palvoelgyi

For an integer d a parts per thousand yen 1, let tau(d) be the smallest integer with the following property: if v (1), v (2), . . . , v (t) is a sequence of t a parts per thousand yen 2 vectors in [-1, 1] (d) with , then there is a set of indices, 2 a part ...

Springer2012

Consistent Digital Line Segments

Doemoetoer Palvoelgyi

We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidean axioms. In particular, we show how to derive such a system of digital segments from any total order o ...

2012

Lower bounds on the obstacle number of graphs

János Pach, Doemoetoer Palvoelgyi, Padmini Mukkamala

Given a graph G, an obstacle representation of G is a set of points in the plane representing the vertices of G, together with a set of connected obstacles such that two vertices of G are joined by an edge if and only if the corresponding points can be con ...

2012

Bin Packing via Discrepancy of Permutations

Friedrich Eisenbrand, Thomas Rothvoss, Doemoetoer Palvoelgyi

A well studied special case of bin packing is the 3-partition problem, where n items of size > 1/4 have to be packed in a minimum number of bins of capacity one. The famous Karmarkar-Karp algorithm transforms a fractional solution of a suitable LP relaxati ...

Siam, 3600 Univ City Science Center, Philadelphia, Pa 19104-2688 Usa2011

Drawing planar graphs of bounded degree with few slopes

János Pach, Doemoetoer Palvoelgyi, Balázs Keszegh

We settle a problem of Dujmovic, Eppstein, Suderman, and Wood by showing that there exists a function f with the property that every planar graph G with maximum degree d admits a drawing with noncrossing straight-line edges, using at most f(d) different sl ...

Springer-Verlag2011

Decomposition of Geometric Set Systems and Graphs

Doemoetoer Palvoelgyi

We study two decomposition problems in combinatorial geometry. The first part of the thesis deals with the decomposition of multiple coverings of the plane. We say that a planar set is cover-decomposable if there is a constant m such that any m-fold coveri ...

EPFL2010

Polychromatic colorings of arbitrary rectangular partitions

Doemoetoer Palvoelgyi, Balázs Keszegh

A general (rectangular) partition is a partition of a rectangle into an arbitrary number of non-overlapping subrectangles. This paper examines vertex 4-colorings of general partitions where every subrectangle is required to have all four colors appear on i ...

Elsevier2010

Indecomposable Coverings with Concave Polygons

Doemoetoer Palvoelgyi

We show that for any concave polygon that has no parallel sides and for any k, there is a k-fold covering of some point set by the translates of this polygon that cannot be decomposed into two coverings. Moreover, we give a complete classification of open ...

Springer-Verlag2010

Permutations, hyperplanes and polynomials over finite fields

Doemoetoer Palvoelgyi

2010

Testing additive integrality gaps

Friedrich Eisenbrand, Gennady Shmonin, Doemoetoer Palvoelgyi, Nicolai Hähnle

We consider the problem of testing whether the maximum integrality gap of a family of integer programs in standard form is bounded by a given constant. This can be viewed as a generalization of the integer rounding property, which can be tested in polynomi ...

2010

Convex polygons are cover-decomposable

Doemoetoer Palvoelgyi

We show that for any open convex polygon P, there is a constant k(P) such that any k(P)-fold covering of the plane with translates of P can be decomposed into two coverings. ...

2010

Consistent digital line segments

Doemoetoer Palvoelgyi

2010

Combinatorial necklace splitting

Doemoetoer Palvoelgyi

We give a new, combinatorial proof for the necklace splitting problem for two thieves using only Tucker's lemma (a combinatorial version of the Borsuk-Ulam theorem). We show how this method can be applied to obtain a related recent result of Simonyi and ev ...

American Mathematical Society2009