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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

    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 ...

    Jiehua Chen, Adrian Chmurovic, Fabian Jogl, Manuel Sorge in Algorithmic Game Theory (2021)

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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 Parameterized Complexity of Centrality Improvement in Networks

    The centrality of a vertex v in a network intuitively captures how important v is for communication in the network. The task of improving the centrality of a vertex has many applications, as a higher centrality o...

    Clemens Hoffmann, Hendrik Molter in SOFSEM 2018: Theory and Practice of Comput… (2018)

  5. Chapter and Conference Paper

    Twins in Subdivision Drawings of Hypergraphs

    Visualizing hypergraphs, systems of subsets of some universe, has continuously attracted research interest in the last decades. We study a natural kind of hypergraph visualization called subdivision drawings. Din...

    René van Bevern, Iyad Kanj in Graph Drawing and Network Visualization (2016)

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    Chapter and Conference Paper

    Finding Connected Subgraphs of Fixed Minimum Density: Implementation and Experiments

    We consider the following problem. Given a graph and a rational number  \(\mu \) ,

    Christian Komusiewicz, Manuel Sorge, Kolja Stahl in Experimental Algorithms (2015)

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    Chapter and Conference Paper

    Finding Highly Connected Subgraphs

    A popular way of formalizing clusters in networks are highly connected subgraphs, that is, subgraphs of k vertices that have edge connectivity larger than k/2 (equivalently, minimum degree larger than k/2). We ex...

    Falk Hüffner, Christian Komusiewicz in SOFSEM 2015: Theory and Practice of Comput… (2015)