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Sunday, February 10, 2013
Polynomial Time Reduction from
X
to
Y
Reducing a problem
X
to a problem
Y
implies:
X
is at least as hard to solve as
Y
Y
is at least as hard to solve as
X
If
X
can be solved in polynomial time, then so can
Y
If
Y
can be solved in polynomial time, then so can
X
What do you think ?
See Unit 2.3 at
Intro to Theoretical Computer Science
.
#
posted by rot13(Unafba Pune) @ 12:45 PM
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Clique, Independent Set and Vertex Cover
φ
(
1
)
=
1
Ex 2.36
(n-1)! \equiv -1 \pmod n
Ex 2.35 Square roots of
1 \pmod {2^x}
Ex 2.34 Euler's criterion
Ex 2.33
(\mathbb{Z_n^*})^m
On Thue's Lemma
Attempt of an alternative proof of the Product Rule
Ex 2.26
Z_{19}^*
and multiplicative order 18
Ex 2.25
\varphi_2(n)
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