Focus on Small Cuts
l
Fact:
FAIL(
p
)
> p
c
l
Theorem: if
p
c
=
1
/n
(2+
d
)
then
Pr[>
a
-mincut fails]<
n
-
ad
l
Corollary:
FAIL(
p
)
»
Pr[
£
a
-mincut fails],
where
a
=
1+2/
d
l
Recall:
O
(
n
2
a
)
a
-mincuts
l
Enumerate with RCA, run DNF counting