What is an NP-complete in computer science? - Stack Overflow
2008年10月17日 · NP-Complete is the intersection set of NP and NP-Hard. According to what I understood, problems in NP-Complete are at least as hard as the hardest problem in the NP set. The class of all NP-Complete problems are equivalent to each other, i.e, a problem in NP-Complete set can be reduced to any other NP-Complete problem.
What are the differences between NP, NP-Complete and NP-Hard?
2009年12月7日 · NP-complete ⊂ NP. Has the following characteristics: Every problem in NP can be reduced in polynomial time to a problem in NP-Complete. If an algorithm capable of solving any NP-complete problem were found then such an algorithm would be capable of solving any problem in NP. Such an algorithm has not yet been found. Example of NP-complete ...
What are NP-complete problems and why are they so important?
NP-complete is a family of NP problems for which you know that if one of them had a polynomial solution then everyone of them has. (EDITED) For the time being, only known algorithms for NP- complete problems are exponential in number of operations, so they …
What is the definition of P, NP, NP-complete and NP-hard?
In your case, problem A is complete for NP, or NP-complete, if every problem in NP reduces to A, and A is in NP. To add to explanation of NP, a problem is in NP if and only if a solution can be verified in (deterministic) polynomial time. Consider any NP-complete problem you know, SAT, CLIQUE, SUBSET SUM, VERTEX COVER, etc.
How to prove a prob is np complete and is in np? - Stack Overflow
2015年6月16日 · 1. To prove that the problem is np-complete you first must prove that the problem is in np. You can do so forming a certificate, so you will pick a committee size, a list of people, a list of people with conflicts of interest, and a committee. Then if you can verify (not prove) if the committee is valid in polynomial time, then it the problem ...
Newest 'np-complete' Questions - Mathematics Stack Exchange
The subset sum problem is known to be NP-complete , so in general there is no efficient method to decide it , in particular to prove a negative result. This problem arises in the problem to decide ...
complexity theory - NP-complete vs NP-hard (why are they …
2017年12月15日 · My informal understanding of definitions being used: NP - all problems that can be verified in polynomial time. NP-complete - all problems that are NP and NP-hard. NP-hard - at least as hard as the hardest problem in NP. Decision Problem - A problem that asks a question with regards to an input and outputs a bool value. Confusion:
Why are some games np-complete? - Computer Science Stack …
2. Here's a simplistic hand-waving explanation: Such games are in NP because "running" a player's behavior over the course of a game and checking whether s/he wins or loses can be done efficiently (we need it to be in polynomial time in the length of the game, but it's probably linear or O(n log(n)) O (n log. .
np complete - Proof that SAT is NPC - Mathematics Stack Exchange
2. Since SAT S A T is the first problem proven to be NP-complete, Cook proved that SAT S A T is NP-complete using the basic definition of NP-completeness which says that to prove that a problem is NP-complete if all NP problems are reducible to it in polynomial time. So, Cook did this using the Turing Machine concept.
proof NP-complete - Stack Overflow
2011年10月24日 · Here is the question: The Subset Sum problem is shown to be NP-complete. The input is a sequence of positive numbers w1, ... ,wn, W, where W is the target weight. The problem is to decide whether there is a set of weights F ⊆ {1, ... ,n} such that the the sum of some weights equal to the target weight (i.e. w1 + ... + wi = W) Let the ...