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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...

    Hannes Moser, Rolf Niedermeier, Manuel Sorge in Experimental Algorithms (2009)

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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)

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    Chapter and Conference Paper

    A New View on Rural Postman Based on Eulerian Extension and Matching

    We provide a new characterization of the NP-hard arc routing problem Rural Postman in terms of a constrained variant of minimum-weight perfect matching on bipartite graphs. To this end, we employ a parameterized ...

    Manuel Sorge, René van Bevern, Rolf Niedermeier, Mathias Weller in Combinatorial Algorithms (2011)

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    Chapter and Conference Paper

    Finding Dense Subgraphs of Sparse Graphs

    We investigate the computational complexity of the Densest- k -Subgraph (D k S) problem, where the input is an undirected graph G = (V,E) and one wants to f...

    Christian Komusiewicz, Manuel Sorge in Parameterized and Exact Computation (2012)

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    Chapter and Conference Paper

    A Parameterized Complexity Analysis of Combinatorial Feature Selection Problems

    We examine the algorithmic tractability of NP-hard combinatorial feature selection problems in terms of parameterized complexity theory. In combinatorial feature selection, one seeks to discard dimensions from...

    Vincent Froese, René van Bevern in Mathematical Foundations of Computer Scien… (2013)

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    Chapter and Conference Paper

    Effective and Efficient Data Reduction for the Subset Interconnection Design Problem

    The NP-hard Subset Interconnection Design problem is motivated by applications in designing vacuum systems and scalable overlay networks. It has as input a set V and a collection of subsets V 1, V

    Jiehua Chen, Christian Komusiewicz, Rolf Niedermeier in Algorithms and Computation (2013)

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    Chapter and Conference Paper

    On the Parameterized Complexity of Computing Graph Bisections

    The Bisection problem asks for a partition of the vertices of a graph into two equally sized sets, while minimizing the cut size. This is the number of edges connecting the two vertex sets. Bisection has been tho...

    René van Bevern, Andreas Emil Feldmann in Graph-Theoretic Concepts in Computer Scien… (2013)

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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

    Assessing the Computational Complexity of Multi-layer Subgraph Detection

    Multi-layer graphs consist of several graphs (layers) over the same vertex set. They are motivated by real-world problems where entities (vertices) are associated via multiple types of relationships (edges in ...

    Robert Bredereck, Christian Komusiewicz, Stefan Kratsch in Algorithms and Complexity (2017)

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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

    Your Rugby Mates Don’t Need to Know Your Colleagues: Triadic Closure with Edge Colors

    Given an undirected graph  \(G=(V,E)\) the NP-hard Strong Triadic Closure (STC) problem asks for a labeling of the edg...

    Laurent Bulteau, Niels Grüttemeier, Christian Komusiewicz in Algorithms and Complexity (2019)