Finding connected secluded subgraphs
Golovach
P
A
author
Heggernes
P
author
Lima
P
T
author
Montealegre
P
author
2020
English
Problems related to finding induced subgraphs satisfying given properties form one of the most studied areas within graph algorithms. However, for many applications, it is desirable that the found subgraph has as few connections to the rest of the graph as possible, which gives rise to the SECLUDED Pi-SUBGRAPH problem. Here, input k is the size of the desired subgraph, and input t is a limit on the number of neighbors this subgraph has in the rest of the graph. This problem has been studied from a parameterized perspective, and unfortunately it turns out to be W[1]-hard for many graph properties Pi, even when parameterized by k + t. We show that the situation changes when we are looking for a connected induced subgraph satisfying Pi. In particular, we show that the CONNECTED SECLUDED Pi-SUBGRAPH problem is FPT when parameterized by just t for many important graph properties Pi. (C) 2020 Elsevier Inc. All rights reserved.
Secluded subgraph
Parameterized complexity
Forbidden subgraphs
WOS:000539435200006
exported from refbase (show.php?record=1191), last updated on Sat, 01 Aug 2020 15:08:12 -0400
text
10.1016/j.jcss.2020.05.006
Golovach_etal2020
Journal Of Computer And System Sciences
J. Comput. Syst. Sci.
2020
Academic Press Inc Elsevier Science
continuing
periodical
academic journal
113
101
124
0022-0000