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Chapter and Conference Paper
The Complexity of Cluster Vertex Splitting and Company
Clustering a graph when the clusters can overlap can be seen from three different angles: We may look for cliques that cover the edges of the graph with bounded overlap, we may look to add or delete few edges ...
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Article
Open AccessThe Complexity of Routing Problems in Forbidden-Transition Graphs and Edge-Colored Graphs
The notion of forbidden-transition graphs allows for a robust generalization of walks in graphs. In a forbidden-transition graph, every pair of edges incident to a common vertex is permitted or forbidden; a walk ...
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Chapter and Conference Paper
On (Coalitional) Exchange-Stable Matching
We study , which Alcalde [Economic Design, 1995] introduced as an alternative solution concept for matching markets involving property rights, such as assigning persons to ...
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Article
The Minimum Feasible Tileset Problem
We introduce and study the Minimum Feasible Tileset problem: given a set of symbols and subsets of these symbols (scenarios), find a smallest possible number of pairs of symbols (tiles) such that each scenario ca...
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Article
On Kernelization and Approximation for the Vector Connectivity Problem
In the Vector Connectivity problem we are given an undirected graph \(G=(V,E)\) ...
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Chapter and Conference Paper
Algorithms and Experiments for Clique Relaxations—Finding Maximum s-Plexes
We propose new practical algorithms to find degree-relaxed variants of cliques called s-plexes. An s-plex denotes a vertex subset in a graph inducing a subgraph where every vertex has edges to all but at most s v...