• On cutwidth parameterized by vertex cover 

      Cygan, Marek; Lokshtanov, Daniel; Pilipczuk, Marcin; Pilipczuk, Michal Pawel; Saurabh, Saket (Peer reviewed; Journal article, 2014-04)
      We study the CUTWIDTH problem, where the input is a graph G, and the objective is find a linear layout of the vertices that minimizes the maximum number of edges intersected by any vertical line inserted between two ...
    • Parameterized complexity of Eulerian deletion problems 

      Cygan, Marek; Pilipczuk, Marcin; Marx, Dániel; Pilipczuk, Michal Pawel; Schlotter, Ildikó (Peer reviewed; Journal article, 2014-01)
      We study a family of problems where the goal is to make a graph Eulerian, i.e., connected and with all the vertices having even degrees, by a minimum number of deletions. We completely classify the parameterized complexity ...
    • Parameterized complexity of the spanning tree congestion problem 

      Bodlaender, Hans L.; Fomin, Fedor; Golovach, Petr; Otachi, Yota; van Leeuwen, Erik Jan (Peer reviewed; Journal article, 2012-09)
      We study the problem of determining the spanning tree congestion of a graph. We present some sharp contrasts in the parameterized complexity of this problem. First, we show that on apex-minor-free graphs, a general class ...
    • Solving the 2-disjoint connected subgraphs problem faster than 2ⁿ 

      Cygan, Marek; Pilipczuk, Marcin; Pilipczuk, Michal Pawel; Wojtaszczyk, Jakub Onufry (Peer reviewed; Journal article, 2014-10)
      The 2-DISJOINT CONNECTED SUBGRAPHS problem, given a graph along with two disjoint sets of terminals Z1,Z2, asks whether it is possible to find disjoint sets A1,A2, such that Z1 ⊆ A1, Z2 ⊆ A2 and A1,A2 induce connected ...
    • Subexponential-time parameterized algorithm for Steiner tree on planar graphs 

      Pilipczuk, Marcin; Pilipczuk, Michal Pawel; van Leeuwen, Erik Jan; Sankowski, Piotr (Conference object; Peer reviewed; Journal article, 2013)
      The well-known bidimensionality theory provides a method for designing fast, subexponential-time parameterized algorithms for a vast number of NP-hard problems on sparse graph classes such as planar graphs, bounded genus ...