activity
20092026
most citedParameterized complexity of machine scheduling: 15 open problems

66 citations · 457 across the 33 of their papers we have counts for

collaborators

34 papers

cs.DC2026

Concurrent Splay-Based Tree

Vitaly Aksenov, Rene van Bevern, Artem Shilkin

Most work on efficient concurrent ordered indices, such as concurrent binary search trees, B-trees, skip lists, etc., has focused on data structures that provide good \emph{worst-c…

cs.DS2022

A quadratic-order problem kernel for the traveling salesman problem parameterized by the vertex cover number

René van Bevern, Daniel A. Skachkov

The NP-hard graphical traveling salesman problem (GTSP) is to find a closed walk of total minimum weight that visits each vertex in an undirected edge-weighted and not necessarily…

cs.DS2022★ 3 cited

On data reduction for dynamic vector bin packing

René van Bevern, Andrey Melnikov, Pavel Smirnov +1

We study a dynamic vector bin packing (DVBP) problem. We show hardness for shrinking arbitrary DVBP instances to size polynomial in the number of request types or in the maximal nu…

cs.DS2021★ 1 cited

Serial and parallel kernelization of Multiple Hitting Set parameterized by the Dilworth number, implemented on the GPU

René van Bevern, Artem M. Kirilin, Daniel A. Skachkov +2

The NP-hard Multiple Hitting Set problem is finding a minimum-cardinality set intersecting each of the sets in a given input collection a given number of times. Generalizing a well…

cs.DS2020★ 8 cited

The Hierarchical Chinese Postman Problem: the slightest disorder makes it hard, yet disconnectedness is manageable

Vsevolod A. Afanasev, René van Bevern, Oxana Yu. Tsidulko

The Hierarchical Chinese Postman Problem is finding a shortest traversal of all edges of a graph respecting precedence constraints given by a partial order on classes of edges. We…

cs.DS2020★ 43 cited

A historical note on the 3/2-approximation algorithm for the metric traveling salesman problem

René van Bevern, Viktoriia A. Slugina

One of the most fundamental results in combinatorial optimization is the polynomial-time 3/2-approximation algorithm for the metric traveling salesman problem. It was presented by…

cs.DS2020★ 10 cited

Optimal-size problem kernels for -Hitting Set in linear time and space

René van Bevern, Pavel V. Smirnov

The known linear-time kernelizations for -Hitting Set guarantee linear worst-case running times using a quadratic-size data structure (that is not fully initialized). Getting ri…

cs.DS2019★ 1 cited

Polynomial-Time Data Reduction for Weighted Problems Beyond Additive Goal Functions

Matthias Bentert, René van Bevern, Till Fluschnik +2

Dealing with NP-hard problems, kernelization is a fundamental notion for polynomial-time data reduction with performance guarantees: in polynomial time, a problem instance is reduc…

cs.DS2018★ 11 cited

On approximate data reduction for the Rural Postman Problem: Theory and experiments

René van Bevern, Till Fluschnik, Oxana Yu. Tsidulko

Given an undirected graph with edge weights and a subset of its edges, the Rural Postman Problem (RPP) is to find a closed walk of minimum total weight containing all edges of…

cs.DS2018★ 2 cited

Representative families for matroid intersections, with applications to location, packing, and covering problems

René van Bevern, Oxana Yu. Tsidulko, Philipp Zschoche

We show algorithms for computing representative families for matroid intersections and use them in fixed-parameter algorithms for set packing, set covering, and facility location p…

cs.DS2018★ 6 cited

Parameterized algorithms and data reduction for the short secluded --path problem

René van Bevern, Till Fluschnik, Oxana Yu. Tsidulko

Given a graph , two vertices , and two integers , the Short Secluded Path problem is to find a simple --path with at most vertices and n…

cs.DM2017★ 18 cited

Inductive -independent graphs and -colorable subgraphs in scheduling: A review

Matthias Bentert, René van Bevern, Rolf Niedermeier

Inductive -independent graphs generalize chordal graphs and have recently been advocated in the context of interference-avoiding wireless communication scheduling. The NP-hard p…

math.OC2017★ 66 cited

Parameterized complexity of machine scheduling: 15 open problems

Matthias Mnich, René van Bevern

Machine scheduling problems are a long-time key domain of algorithms and complexity research. A novel approach to machine scheduling problems are fixed-parameter algorithms. To sti…

cs.DS2017★ 2 cited

Parameterized Algorithms for Power-Efficiently Connecting Wireless Sensor Networks: Theory and Experiments

Matthias Bentert, René van Bevern, André Nichterlein +2

We study an NP-hard problem motivated by energy-efficiently maintaining the connectivity of a symmetric wireless communication network: Given an edge-weighted -vertex graph, fin…

cs.DS2016★ 6 cited

Fixed-Parameter Algorithms for DAG Partitioning

René van Bevern, Robert Bredereck, Morgan Chopin +4

Finding the origin of short phrases propagating through the web has been formalized by Leskovec et al. [ACM SIGKDD 2009] as DAG Partitioning: given an arc-weighted directed acyclic…

cs.CC2016★ 9 cited

The parameterized complexity of finding secluded solutions to some classical optimization problems on graphs

René van Bevern, Till Fluschnik, George B. Mertzios +3

This work studies the parameterized complexity of finding secluded solutions to classical combinatorial optimization problems on graphs such as finding minimum s-t separators, feed…

math.OC2016

Precedence-constrained scheduling problems parameterized by partial order width

René van Bevern, Robert Bredereck, Laurent Bulteau +3

Negatively answering a question posed by Mnich and Wiese (Math. Program. 154(1-2):533-562), we show that P2|prec,|, the problem of finding a non-preempti…

cs.DL2016★ 6 cited

h-Index Manipulation by Undoing Merges

René van Bevern, Christian Komusiewicz, Hendrik Molter +3

The h-index is an important bibliographic measure used to assess the performance of researchers. Dutiful researchers merge different versions of their articles in their Google Scho…

cs.DM2016

A fixed-parameter algorithm for a routing open shop problem: unit processing times, few machines and locations

René van Bevern, Artem V. Pyatkin

The open shop problem is to find a minimum makespan schedule to process each job on each machine for time such that, at any time, each machine processes at mos…

cs.DM2015★ 10 cited

Exploiting Hidden Structure in Selecting Dimensions that Distinguish Vectors

Vincent Froese, René van Bevern, Rolf Niedermeier +1

The NP-hard Distinct Vectors problem asks to delete as many columns as possible from a matrix such that all rows in the resulting matrix are still pairwise distinct. Our main resul…

cs.DM2015★ 13 cited

Parameterizing edge modification problems above lower bounds

René van Bevern, Vincent Froese, Christian Komusiewicz

We study the parameterized complexity of a variant of the -free Editing problem: Given a graph and a natural number , is it possible to modify at most edges in so…

cs.DM2015

The role of twins in computing planar supports of hypergraphs

René van Bevern, Iyad A. Kanj, Christian Komusiewicz +2

A support or realization of a hypergraph is a graph on the same vertex as such that for each hyperedge of it holds that its vertices induce a connected subgraph of…

cs.DS2015★ 28 cited

A parameterized complexity view on non-preemptively scheduling interval-constrained jobs: few machines, small looseness, and small slack

René van Bevern, Rolf Niedermeier, Ondřej Suchý

We study the problem of non-preemptively scheduling jobs, each job with a release time , a deadline , and a processing time , on parallel identical machi…

cs.DM2015

Well-Formed Separator Sequences, with an Application to Hypergraph Drawing

René van Bevern, Iyad Kanj, Christian Komusiewicz +2

Given a hypergraph , the Planar Support problem asks whether there is a planar graph on the same vertex set as such that each hyperedge induces a connected subgraph of $…