6
$\begingroup$

It is known that computing $(\sqrt 2 -\epsilon)$-approximation for VC is NP-hard and that UGC implies that even a $(2 -\epsilon)$-approximation is hard.

There is also a parameterized algorithm for computing a $\alpha$-approximation of VC (for $\alpha\in[1,2]$).

Considering the standard (non-parameterized) problem and non-polynomial algorithms:

  • What is the fastest known algorithm for computing a $1.99$-approximation?
$\endgroup$
8
$\begingroup$

I think for getting 1.99-approximation algorithm this paper by Manurangsi and Trevisan, has the current fastest algorithm.

| cite | improve this answer | |
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.