CS 6515 Exam 3 ACTUAL EXAM
QUESTIONS WITH COMPLETE
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,Terms in this set (53)
A solution may be found in
The Class P
polynomial time
A solution may be verified in
The Class NP
polynomial time
We are yet to find a polynomial time
NP-Hard
solution
Both in NP and at least as hard as
NP-Complete
NP-Hard problems
, 1. Demonstrate that problem B is in
the class of NP Problems
- validate a solution in polynomial
time
2. Demonstrate that problem B is at
least as hard as a problem believed
to be NP-Complete. This is done via
a reduction from a known problem A
(A->B)
a) Show how an instance of A is
NP Reduction -
converted to B in polynomial time
Steps
b) Show how a solution to B can be
converted to a solution for A, again
in polynomial time
c) Show that a solution for B exists IF
AND ONLY IF a solution to A exists
- most prove both parts: if you you
have a solution to B, you have a
solution to A
- If there is no solution to B, then no
solution exists to A
QUESTIONS WITH COMPLETE
SOLUTION GUIDE (A+ GRADED
100% VERIFIED) LATEST VERSION
2025!!
Save
Get a taste for our practice questions
Learn
Studied 7 terms
Nice work, you're crushing it
Continue studying in Learn
,Terms in this set (53)
A solution may be found in
The Class P
polynomial time
A solution may be verified in
The Class NP
polynomial time
We are yet to find a polynomial time
NP-Hard
solution
Both in NP and at least as hard as
NP-Complete
NP-Hard problems
, 1. Demonstrate that problem B is in
the class of NP Problems
- validate a solution in polynomial
time
2. Demonstrate that problem B is at
least as hard as a problem believed
to be NP-Complete. This is done via
a reduction from a known problem A
(A->B)
a) Show how an instance of A is
NP Reduction -
converted to B in polynomial time
Steps
b) Show how a solution to B can be
converted to a solution for A, again
in polynomial time
c) Show that a solution for B exists IF
AND ONLY IF a solution to A exists
- most prove both parts: if you you
have a solution to B, you have a
solution to A
- If there is no solution to B, then no
solution exists to A
