output
19942026
most citedBrownian distance covariance

857 citations

Showing 2010 · math.COShow all

8 papers · 2 filters

math.CO2010

Local chromatic number of quadrangulations of surfaces

Bojan Mohar, Gábor Simonyi, Gábor Tardos

The local chromatic number of a graph was introduced by Erdős et al. [4]. In [17] a connection to topological properties of (a box complex of) the graph was established and in [18]…

math.CO2010

Completing Partial Packings of Bipartite Graphs

Zoltán Füredi, Ago-Erik Riet, Mykhaylo Tyomkyn

Given a bipartite graph and an integer , let be the smallest integer such that, any set of edge disjoint copies of on vertices, can be extended to an -de…

math.CO2010

Gallai colorings and domination in multipartite digraphs

András Gyárfás, Gábor Simonyi, Ágnes Tóth

Assume that D is a digraph without cyclic triangles and its vertices are partitioned into classes A_1,...,A_t of independent vertices. A set is called a domin…

math.CO2010★ 2 cited

The Local Lemma is asymptotically tight for SAT

Heidi Gebauer, Tibor Szabo, Gabor Tardos

The Local Lemma is a fundamental tool of probabilistic combinatorics and theoretical computer science, yet there are hardly any natural problems known where it provides an asymptot…

math.CO2010★ 1 cited

Towards random uniform sampling of bipartite graphs with given degree sequence

Péter L. Erdös, Istán Miklós, Lajos Soukup

In this paper we consider a simple Markov chain for bipartite graphs with given degree sequence on vertices. We show that the mixing time of this Markov chain is bounded above…

math.CO2010★ 18 cited

On topological relaxations of chromatic conjectures

Gábor Simonyi, Ambrus Zsbán

There are several famous unsolved conjectures about the chromatic number that were relaxed and already proven to hold for the fractional chromatic number. We discuss similar relaxa…

math.CO2010★ 6 cited

Drawing Graphs with Orthogonal Crossings

Radoslav Fulek, Balázs Keszegh, Filip Morić

By a poly-line drawing of a graph G on n vertices we understand a drawing of G in the plane such that each edge is represented by a polygonal arc joining its two respective vertice…

math.CO2010★ 3 cited

Unique-maximum and conflict-free colorings for hypergraphs and tree graphs

Panagiotis Cheilaris, Balázs Keszegh, Dömötör Pálvölgyi

We investigate the relationship between two kinds of vertex colorings of hypergraphs: unique-maximum colorings and conflict-free colorings. In a unique-maximum coloring, the colors…