14.08.2013 Views

Notes on Parameterized Complexity, Dagstuhl, June 2012.

Notes on Parameterized Complexity, Dagstuhl, June 2012.

Notes on Parameterized Complexity, Dagstuhl, June 2012.

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

I WAS EXCITED!<br />

◮ At a certain point I recall simplifying the noti<strong>on</strong> of reducti<strong>on</strong><br />

as the AEFM <strong>on</strong>e was hopeless.<br />

◮ Why not study L ⊆ Σ ∗ × Σ ∗ or Σ ∗ × N, and have reducti<strong>on</strong>s<br />

as what we now see as parametric c<strong>on</strong>necti<strong>on</strong>s<br />

(x, k) ↦→ (x ′ , k ′ ).<br />

◮ I was excitedly calling Mike and posting him letters.<br />

◮ He invited me over to Victoria to work with him.<br />

◮ It became clear that there are three definiti<strong>on</strong>s of being<br />

FPT, uniform, str<strong>on</strong>gly uniform and n<strong>on</strong>uniform.<br />

◮ Open Does Ladner’s Theorem hold for uniform and<br />

n<strong>on</strong>uniform?

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!