Suppose a friend of yours is rushing for one of the university fraternities, Tau
ID: 3767654 • Letter: S
Question
Suppose a friend of yours is rushing for one of the university fraternities, Tau Nu Tau (TNT). His job for this week is to arrange all the bottles in the TNT beerbottle collection in a circle, subject to the constraint that each pair of consecutive bottles must be for beers that were both drunk in some TNT party. He has been given a listing of the beers in the TNT beer-bottle collection, and, for each beer on the list, he is told which other beers were drunk along with this one at some TNT party. Politely show that your friend has been asked to solve an NP-complete problem.
Explanation / Answer
Yes it solve an NP-complete problem ,because there is consecutive bottles that means the pair of continue bottles are taking each person along with one bottle from the list.So the person compulsary take one from list two from consecutive bottles .
def: A problem x that is in NP is also in NP-Complete if and only if every other problem in NP can be quickly (ie. in polynomial time) transformed into x.
So, what makes NP-Complete so interesting is that if any one of the NP-Complete problems was to be solved quickly, then all NP problems can be solved quickly
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