Partition Problem - The k-partition Problem

The k-partition Problem

There is a problem called the 3-partition problem which is to partition the set S into |S|/3 triples each with the same sum. The 3-partition problem is quite different than the Partition Problem and has no pseudo-polynomial time algorithm unless P = NP. For generalizations of the partition problem, see the Bin packing problem.

Read more about this topic:  Partition Problem

Famous quotes containing the word problem:

    The problem of culture is seldom grasped correctly. The goal of a culture is not the greatest possible happiness of a people, nor is it the unhindered development of all their talents; instead, culture shows itself in the correct proportion of these developments. Its aim points beyond earthly happiness: the production of great works is the aim of culture.
    Friedrich Nietzsche (1844–1900)