Browsing Faculty of Mathematics and Natural Sciences by Journals "Algorithmica"
Now showing items 1-7 of 7
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A Fixed-Parameter Perspective on #BIS
(Peer reviewed; Journal article, 2019-07-18)The problem of (approximately) counting the independent sets of a bipartite graph (#BIS) is the canonical approximate counting problem that is complete in the intermediate complexity class #RHΠ1. It is believed that #BIS ... -
Mim-Width II. The Feedback Vertex Set Problem
(Peer reviewed; Journal article, 2020)We give a first polynomial-time algorithm for (WEIGHTED) FEEDBACK VERTEX SET on graphs of bounded maximum induced matching width (mim-width). Explicitly, given a branch decomposition of mim-width w, we give an nO(w)-time ... -
On cutwidth parameterized by vertex cover
(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
(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
(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
(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 ... -
Subgraph Complementation
(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 ...