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Example 3: Travelling Salesman problem
Given: n associated cities and distances among them
Find: tour of minimum length that visits all of city.
Solutions: How several tours are possible?
n*(n -1)...*1 = n!
Because n! > 2(n-1)
Therefore n! = ? (2n) (lower bound)
As of now, there is no algorithm that determines a tour of minimum length plus covers all of the cities in polynomial time. But, there are many very good heuristic algorithms.
Column Major Representation In memory the second method of representing two-dimensional array is the column major representation. Under this illustration, the first column of
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The complexity of multiplying two matrices of order m*n and n*p is mnp
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In worst case Quick Sort has order O (n 2 /2)
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