Compression Theorem
Definition:
Given compression
probabilities
p
e
,
compressed graph
G
[
p
e
]
»
includes edge
e
with probability
p
e
and
»
gives it weight
1/
p
e
if included
l
Note
E
[
G
[
p
e
]]
= G
Theorem:
G
[
r
/
c
e
]
»
approximates all cuts by
e
»
has
O
(
r
n
)
edges