For a sorter like bubble sort, the time grows quadradically longer for a linear increase in the number of inputs; it’s of order O(N²).With a faster sorter like merge-sort, which is O(N*log(N ...

View on Coursera Course Description. This course continues our data structures and algorithms specialization by focussing on the use of linear and integer programming formulations for solving ...

Theorem (B.M. 1999) For every surface S there is a linear time algorithm which, for a given graph G, either finds an embedding of G in S or returns a subgraph of G that is a subdivision of a ...

The new algorithm solves these two problems in “almost linear” time, which means that the algorithm’s runtime is roughly proportional to the amount of time it takes merely to write down the details of ...