activity
20172024
most citedCombinatorial Optimization Problems with Interaction Costs: Complexity and Solvable Cases

5 citations · 10 across the 9 of their papers we have counts for

collaborators

17 papers

cs.GT2024

Allocation of Indivisible Items with a Common Preference Graph: Minimizing Total Dissatisfaction

Nina Chiarelli, Clément Dallard, Andreas Darmann +4

Allocating indivisible items among a set of agents is a frequently studied discrete optimization problem. In the setting considered in this work, the agents' preferences over the i…

cs.DM2024

Minimizing Maximum Dissatisfaction in the Allocation of Indivisible Items under a Common Preference Graph

Nina Chiarelli, Clément Dallard, Andreas Darmann +4

We consider the task of allocating indivisible items to agents, when the agents' preferences over the items are identical. The preferences are captured by means of a directed acycl…

cs.DS2023★ 1 cited

A linear time algorithm for linearizing quadratic and higher-order shortest path problems

Eranda Çela, Bettina Klinz, Stefan Lendl +2

An instance of the NP-hard Quadratic Shortest Path Problem (QSPP) is called linearizable iff it is equivalent to an instance of the classic Shortest Path Problem (SPP) on the same…

math.OC2022

On the Complexity of Robust Multi-Stage Problems in the Polynomial Hierarchy

Marc Goerigk, Stefan Lendl, Lasse Wulf

We study the computational complexity of multi-stage robust optimization problems. Such problems are formulated with alternating min/max quantifiers and therefore naturally fall in…

cs.DS2022

Dispersing Obnoxious Facilities on Graphs by Rounding Distances

Tim A. Hartmann, Stefan Lendl

We continue the study of -dispersion, a continuous facility location problem on a graph where all edges have unit length and where the facilities may also be positioned in the i…

cs.MA2022★ 1 cited

Allocation of Indivisible Items with Individual Preference Graphs

Nina Chiarelli, Clément Dallard, Andreas Darmann +5

This paper studies the allocation of indivisible items to agents, when each agent's preferences are expressed by means of a directed acyclic graph. The vertices of each preference…

cs.DS2021★ 1 cited

On the Recoverable Traveling Salesman Problem

Marc Goerigk, Stefan Lendl, Lasse Wulf

In this paper we consider the Recoverable Traveling Salesman Problem (TSP). Here the task is to find two tours simultaneously, such that the intersection between the tours is at le…

cs.DS2021

Assistance and Interdiction Problems on Interval Graphs

Hung P. Hoang, Stefan Lendl, Lasse Wulf

We introduce a novel framework of graph modifications specific to interval graphs. We study interdiction problems with respect to these graph modifications. Given a list of origina…

math.OC2021

Two-Stage Robust Optimization Problems with Two-Stage Uncertainty

Marc Goerigk, Stefan Lendl, Lasse Wulf

We consider two-stage robust optimization problems, which can be seen as games between a decision maker and an adversary. After the decision maker fixes part of the solution, the a…

cs.DS2020

An Investigation of the Recoverable Robust Assignment Problem

Dennis Fischer, Tim A. Hartmann, Stefan Lendl +1

We investigate the so-called recoverable robust assignment problem on balanced bipartite graphs with vertices, a mainstream problem in robust optimization: For two given linea…

math.OC2020

Robust Combinatorial Optimization with Locally Budgeted Uncertainty

Marc Goerigk, Stefan Lendl

Budgeted uncertainty sets have been established as a major influence on uncertainty modeling for robust optimization problems. A drawback of such sets is that the budget constraint…

math.OC2020

Recoverable Robust Representatives Selection Problems with Discrete Budgeted Uncertainty

Marc Goerigk, Stefan Lendl, Lasse Wulf

Recoverable robust optimization is a multi-stage approach, where it is possible to adjust a first-stage solution after the uncertain cost scenario is revealed. We analyze this appr…

math.OC2019

Matroid Bases with Cardinality Constraints on the Intersection

Stefan Lendl, Britta Peis, Veerle Timmermans

Given two matroids and on a common ground set with base sets and $\mathcal{B…

cs.DS2018

Dispersing obnoxious facilities on a graph

Alexander Grigoriev, Tim A. Hartmann, Stefan Lendl +1

We study a continuous facility location problem on a graph where all edges have unit length and where the facilities may also be positioned in the interior of the edges. The goal i…

cs.DS2018★ 2 cited

On Streaming Algorithms for the Steiner Cycle and Path Cover Problem on Interval Graphs and Falling Platforms in Video Games

Ante Ćustić, Stefan Lendl

We introduce a simplified model for platform game levels with falling platforms based on interval graphs and show that solvability of such levels corresponds to finding Steiner cyc…

math.CO2018

On sequences covering all rainbow -progressions

Leonardo Alese, Stefan Lendl, Paul Tabatabai

Let denote the smallest positive integer with the property that there exists an -colouring of such that for every -subset $R…

math.OC2017★ 5 cited

Combinatorial Optimization Problems with Interaction Costs: Complexity and Solvable Cases

Stefan Lendl, Ante Ćustić, Abraham P. Punnen

We introduce and study the combinatorial optimization problem with interaction costs (COPIC). COPIC is the problem of finding two combinatorial structures, one from each of two giv…