This is the repository for Zach's enumerator of grid graph partitions. For details about the algorithm and an implementation, see the Jupyter notebook.
The enumerations folder contains .zips of the enumerations of the valid partitions. Each zip contains a single text file. The data format is as follows. Each partition is on its own line. Reading off the grid left-to-right, top-to-bottom, a partition appears as a comma-delimited list where each value corresponds to the chunk to which that cell belongs. For example, the partition
1 1 2 1 2 2 3 3 3
is represented as
The file naming convention is
n are the
dimensions of the grid, the
p_i are the allowed sizes of the chunks,
k is the number of pieces, and
cont is either
rc for rook contiguity or
qc for queen contiguity. The .zip contains a .txt file of
the same name.
The table is a reference which contains the sizes of some of the various sets of enumerations.
This is Julia code. If you already have Julia and Jupyter installed, you can
set up IJulia by calling
Pkg.add("IJulia") in the Julia REPL. If you don't
have either of these set up, you can get Julia from the creators at julialang.org
and Jupyter from jupyter.org.
Coming soon: a command line version of this tool