Comment:
Admits a PTAS if every vertex has degree
[
24
].
It remains A
PX
-complete even if
is fixed.
For
|S|=4
and
|S|=8
it is approximable within 4/3 and 12/7,
respectively.
In the case of directed graphs the problem is approximable within
and A
PX
-hard [
127
].
The vertex deletion variation is approximable within 2-2/|
S
| and is
A
PX
-complete [
127
].