The parameterized complexity of finding secluded solutions to some classical optimization problems on graphs. van Bevern, R., Fluschnik, T., Mertzios, G. B., Molter, H., Sorge, M., & Suchý, O. Discrete Optimzation, 30:20–50, 2018.
Preprint doi abstract bibtex This work studies the parameterized complexity of finding secluded solutions to classical combinatorial optimization problems on graphs such as finding minimum s-t separators, feedback vertex sets, dominating sets, maximum independent sets, and vertex deletion problems for hereditary graph properties: Herein, one searches not only to minimize or maximize the size of the solution, but also to minimize the size of its neighborhood. This restriction has applications in secure routing and community detection.
@article{BFM+18,
title = {The parameterized complexity of finding secluded
solutions to some classical optimization problems on
graphs},
author = {René van Bevern and Till Fluschnik and George
B. Mertzios and Hendrik Molter and Manuel Sorge and
Ondřej Suchý},
date = {2018-11-01},
year = 2018,
journal = {Discrete Optimzation},
volume = 30,
pages = {20--50},
url_Preprint = {https://arxiv.org/abs/1606.09000},
doi = {10.1016/j.disopt.2018.05.002},
abstract = {This work studies the parameterized complexity of
finding secluded solutions to classical
combinatorial optimization problems on graphs such
as finding minimum s-t separators, feedback vertex
sets, dominating sets, maximum independent sets, and
vertex deletion problems for hereditary graph
properties: Herein, one searches not only to
minimize or maximize the size of the solution, but
also to minimize the size of its neighborhood. This
restriction has applications in secure routing and
community detection.}
}
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