space-complexity

How should I change my Graph structure (very slow insertion)?

Hi, This program I'm doing is about a social network, which means there are users and their profiles. The profiles structure is UserProfile. Now, there are various possible Graph implementations and I don't think I'm using the best one. I have a Graph structure and inside, there's a pointer to a linked list of type Vertex. Each Vertex ...

Can we compute this in less than O(n*n) ...( nlogn or n)...

This is a question asked to me by a very very famous MNC. The question is as follows ... Input an 2D N*N array of 0's and 1's. If A(i,j) = 1, then all the values corresponding to the ith row and the jth column are going to be 1. If there is a 1 already, it remains as a 1. As an example , if we have the array 1 0 0 0 0 0 1 1 0 0...

How to compute kolmogorov complexity of an algorithm?

Suppose for various input strings an algorithm generates binary string with same number of 0's and 1's. The output for two different input strings may or may not be the same. Can we say anything about the space complexity of the algorithm? ...