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20132026
most citedOn the Generalised Colouring Numbers of Graphs that Exclude a Fixed Minor

8 citations · 66 across the 52 of their papers we have counts for

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Showing 2017Show all

8 papers · 1 filter

cs.DM2017★ 6 cited

Lossy kernels for connected distance- domination on nowhere dense graph classes

Sebastian Siebertz

For , an -approximate bi-kernel is a polynomial-time algorithm that takes as input an instance of a problem and outputs an i…

cs.DM2017

Algorithmic Properties of Sparse Digraphs

Stephan Kreutzer, Patrice Ossona de Mendez, Roman Rabinovich +1

The notions of bounded expansion and nowhere denseness have been applied very successfully in algorithmic graph theory. We study the corresponding notions of directed bounded expan…

cs.DM2017

Reconfiguration on nowhere dense graph classes

Sebastian Siebertz

Let be a vertex subset problem on graphs. In a reconfiguration variant of we are given a graph and two feasible solutions o…

cs.DC2017

Distributed Dominating Set Approximations beyond Planar Graphs

Saeed Akhoondian Amiri, Stefan Schmid, Sebastian Siebertz

The Minimum Dominating Set (MDS) problem is one of the most fundamental and challenging problems in distributed computing. While it is well-known that minimum dominating sets canno…

cs.DM2017★ 2 cited

On the number of types in sparse graphs

Michał Pilipczuk, Sebastian Siebertz, Szymon Toruńczyk

We prove that for every class of graphs which is nowhere dense, as defined by Nesetril and Ossona de Mendez, and for every first order formula , whe…

cs.DS2017

On low rank-width colorings

O-joung Kwon, Michał Pilipczuk, Sebastian Siebertz

We introduce the concept of low rank-width colorings, generalising the notion of low tree-depth colorings introduced by Nešetřil and Ossona de Mendez in [Grad and classes with boun…