ryser 0.0.9

Latin Squares and Related Designs.

Created Wed Aug 8 15:39:10 BST 2012. Last updated Sat Sep 14 13:04:27 BST 2013.

Introduction

Ryser is a Python package for latin squares and related designs.

Example: Hall Numbers

Here is a demo which computes Hall numbers.

>>> import ryser
>>> from ryser.examples import eg3, fail4
>>> S = fail4[0]
>>> hall_nums = ryser.hall.symmetric_hall_numbers(eg3, S)
>>> print "Hall numbers: {}".format(hall_nums)
Hall numbers: [0, 1, 2, 2, 3, 3, 4, 4]
>>> print "Sum of Hall numbers: {}".format(sum(hall_nums))
Sum of Hall numbers: 19

Test Hall inequalities:

>>> ryser.hall.hall_inequality_on_cells(eg3, S)
True
>>> ryser.hall.symmetric_hall_inequality_on_cells(eg3, S)
False

Export the subgraphs in DOT format:

>>> ryser.hall.hall_subgraphs(eg3, S, format = 'dot')