• Metric Dimension Parameterized By Treewidth 

      Bonnet, Édouard; Purohit, Nidhi (Journal article; Peer reviewed, 2021)
      A resolving set S of a graph G is a subset of its vertices such that no two vertices of G have the same distance vector to S. The METRIC DIMENSION problem asks for a resolving set of minimum size, and in its decision form, ...
    • Node Multiway Cut and Subset Feedback Vertex Set on Graphs of Bounded Mim-Width 

      Bergougnoux, Benjamin; Papadopoulos, Charis; Telle, Jan Arne (Journal article; Peer reviewed, 2022)
      The two weighted graph problems Node Multiway Cut (NMC) and Subset Feedback Vertex Set (SFVS) both ask for a vertex set of minimum total weight, that for NMC disconnects a given set of terminals, and for SFVS intersects ...
    • On Perturbation Resilience of Non-uniform k-Center 

      Bandyapadhyay, Sayan (Journal article; Peer reviewed, 2021)
      The Non-Uniform k-center (NUkC) problem has recently been formulated by Chakrabarty et al. [ICALP, 2016; ACM Trans Algorithms 16(4):46:1–46:19, 2020] as a generalization of the classical k-center clustering problem. In ...
    • On the Tractability of Optimization Problems on H-Graphs 

      Fomin, Fedor; Golovach, Petr; Raymond, Jean-Florent (Journal article; Peer reviewed, 2020)
      For a graph H, a graph G is an H-graph if it is an intersection graph of connected subgraphs of some subdivision of H. H-graphs naturally generalize several important graph classes like interval graphs or circular-arc ...
    • Parameterized Complexity of Directed Spanner Problems 

      Fomin, Fedor; Golovach, Petr; Lochet, William Alexandre; Misra, Pranabendu; Saurabh, Saket; Sharma, Roohani (Journal article; Peer reviewed, 2021)
      We initiate the parameterized complexity study of minimum t-spanner problems on directed graphs. For a positive integer t, a multiplicative t-spanner of a (directed) graph G is a spanning subgraph H such that the distance ...
    • Subexponential Parameterized Algorithms and Kernelization on Almost Chordal Graphs 

      Fomin, Fedor; Golovach, Petr (Journal article; Peer reviewed, 2021)
      We study algorithmic properties of the graph class CHORDAL−ke, that is, graphs that can be turned into a chordal graph by adding at most k edges or, equivalently, the class of graphs of fll-in at most k. It appears that a ...
    • Subgraph Complementation 

      Fomin, Fedor; Golovach, Petr; Strømme, Torstein J. F.; Thilikos, Dimitrios M. (Journal article; Peer reviewed, 2020-02)
      A subgraph complement of the graph G is a graph obtained from G by complementing all the edges in one of its induced subgraphs. We study the following algorithmic question: for a given graph G and graph class G, is there ...
    • Towards a Polynomial Kernel for Directed Feedback Vertex Set 

      Bergougnoux, Benjamin; Eiben, Eduard; Ganian, Robert; Ordyniak, Sebastian; Ramanujan, M. S. (Journal article; Peer reviewed, 2020)
      In the DIRECTED FEEDBACK VERTEX SET (DFVS) problem, the input is a directed graph D and an integer k. The objective is to determine whether there exists a set of at most k vertices intersecting every directed cycle of D. ...