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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 ...

    Alexander Firbas, Alexander Dobler in SOFSEM 2024: Theory and Practice of Comput… (2024)

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    Chapter and Conference Paper

    Efficient Algorithms for Measuring the Funnel-Likeness of DAGs

    Funnels are a new natural subclass of DAGs. Intuitively, a DAG is a funnel if every source-sink path can be uniquely identified by one of its arcs. Funnels are an analog to trees for directed graphs that is mo...

    Marcelo Garlet Millani, Hendrik Molter, Rolf Niedermeier in Combinatorial Optimization (2018)

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    Chapter and Conference Paper

    The Complexity of Routing with Few Collisions

    We study the computational complexity of routing multiple objects through a network in such a way that only few collisions occur: Given a graph G with two distinct terminal vertices and two positive integers p an...

    Till Fluschnik, Marco Morik, Manuel Sorge in Fundamentals of Computation Theory (2017)

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    Chapter and Conference Paper

    Exploiting a Hypergraph Model for Finding Golomb Rulers

    Golomb rulers are special rulers where for any two marks it holds that the distance between them is unique. They find applications in positioning of radio channels, radio astronomy, communication networks, and...

    Manuel Sorge, Hannes Moser, Rolf Niedermeier, Mathias Weller in Combinatorial Optimization (2012)

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    Chapter and Conference Paper

    From Few Components to an Eulerian Graph by Adding Arcs

    Eulerian Extension (EE) is the problem to make an arc-weighted directed multigraph Eulerian by adding arcs of minimum total cost. EE is NP-hard and has been shown fixed-parameter tractable with res...

    Manuel Sorge, René van Bevern in Graph-Theoretic Concepts in Computer Scien… (2011)