eng
Schloss Dagstuhl – Leibniz-Zentrum für Informatik
Leibniz International Proceedings in Informatics
1868-8969
2017-02-09
5:1
5:16
10.4230/LIPIcs.IPEC.2016.5
article
Finding Secluded Places of Special Interest in Graphs
van Bevern, René
Fluschnik, Till
Mertzios, George B.
Molter, Hendrik
Sorge, Manuel
Suchý, Ondrej
Finding a vertex subset in a graph that satisfies a certain property is one of the most-studied topics in algorithmic graph theory. The focus herein is often on minimizing or maximizing the size of the solution, that is, the size of the desired vertex set. In several applications, however, we also want to limit the "exposure" of the solution to the rest of the graph. This is the case, for example, when the solution represents persons that ought to deal with sensitive information or a segregated community. In this work, we thus explore the (parameterized) complexity of finding such secluded vertex subsets for a wide variety of properties that they shall fulfill. More precisely, we study the constraint that the (open or closed) neighborhood of the solution shall be bounded by a parameter and the influence of this constraint on the complexity of minimizing separators, feedback vertex sets, F-free vertex deletion sets, dominating sets, and the maximization of independent sets.
https://drops.dagstuhl.de/storage/00lipics/lipics-vol063-ipec2016/LIPIcs.IPEC.2016.5/LIPIcs.IPEC.2016.5.pdf
Neighborhood
Feedback Vertex Set
Vertex Deletion
Separator
Dominating Set