TOMS515
K subsets of an N set

TOMS515 is a FORTRAN77 library which lists the subsets of size K selected from a set of size N.

Related Data and Programs:

SUBSET, a FORTRAN77 library which enumerates combinations, partitions, subsets, index sets, and other combinatorial objects.

Reference:

1. Bill Buckles, Matthew Lybanon,
   Algorithm 515: Generation of a Vector from the Lexicographical Index,
   ACM Transactions on Mathematical Software,
   Volume 3, Number 2, June 1977, pages 180-182.

Source Code:

• toms515.f, the source code.
• toms515.sh, commands to compile the source code.

Examples and Tests:

• toms515_prb.f, a sample calling program.
• toms515_prb.sh, commands to compile and run the sample program.
• toms515_prb_output.txt, the output from a run of the sample program.

List of Routines:

• COMB selects a subset of order P from a set of order N.
• BINOM computes the binomial coefficient.

You can go up one level to the FORTRAN77 source codes.