Finding secluded places of special interest in graphs

Bevern, R.V.; Fluschnik, T.; Mertzios, G.B.; Molter, H.; Sorge, M.; Suchý, O.

Abstract

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.

Citation

Bevern, R., Fluschnik, T., Mertzios, G., Molter, H., Sorge, M., & Suchý, O. (2016, August). Finding secluded places of special interest in graphs. Presented at 11th International Symposium on Parameterized and Exact Computation (IPEC), Aarhus, Denmark

• Presentation Conference Type: Conference Paper (published)
• Conference Name: 11th International Symposium on Parameterized and Exact Computation (IPEC)
• Start Date: Aug 24, 2016
• End Date: Aug 26, 2016
• Acceptance Date: Jul 24, 2016
• Online Publication Date: Jan 31, 2017
• Publication Date: Jan 31, 2017
• Deposit Date: Sep 1, 2016
• Publicly Available Date: Sep 2, 2016
• Pages: 5:1-5:16
• Series Title: Leibniz International Proceedings in Informatics (LIPIcs)
• Series Number: 63
• Series ISSN: 1868-8969
• Book Title: 11th International Symposium on Parameterized and Exact Computation (IPEC 2016) : August 24-26, 2016, Aarhus, Denmark.
• DOI: https://doi.org/10.4230/lipics.ipec.2016.5
• Public URL: https://durham-repository.worktribe.com/output/1151285
• Publisher URL: http://drops.dagstuhl.de/opus/volltexte/2017/6938