Efficient ordered (by popcount) enumeration of bits.

This library provides efficient methods to enumerate all elements of a set in order of the population count, or the ordered enumerations of the elements of the powerset of a set. First, the empty set, then all 1-element sets, all 2-element sets, etc. Such enumerations are important for algorithms over unordered data sets. Examples include the travelling salesman problem and the closely related Hamiltonian path problem.

OrderedBits

The OrderedBits library provides methods to generate unboxed vectors of Ints (and others) ordered by their population count or Hamming distance to the 0 set. In other words, we enumerate the power set of a given input set.

Such an order is important for dynamic programming algorithms for Hamiltonian path problems and the travelling salesman problem.

Contact

Christian Hoener zu Siederdissen
Leipzig University, Leipzig, Germany
[email protected]
http://www.bioinf.uni-leipzig.de/~choener/