### Jeremy L. Martin

Source Code and Data Archive

This is my master page for publicly available source code and data
(in Maple, Macaulay2,
Sage, C, ...) for some of my
research projects. This code may be used freely for any noncommercial
purpose.

#### Material related to the article
"Aspheric orientations, colorings, tensions and flows of cell complexes"
(which doesn't exist yet, but it will soon):

Compute the modular chromatic and flow polynomials of an arbitrary
cell complex using Maple or Sage

- Sage worksheet to construct simplicial rook graphs and compute their spectra

- Computing the chromatic symmetric function in Maple
- Lists of all trees up to isomorphism. Reading the file Trees1-11
into a Maple session defines a global variable
*TREES* and sets it to equal a list of 11
lists of sets. Each set in *TREES[n]* consists of *n-1* ordered pairs of integers in
the range 1..n, regarded as edges of a graph on [n]. For every tree *T* on *n* vertices,
there is exactly one set in *TREES[n]* that defines a tree isomorphic to *T*. This list
is enough for a lot of computations; however, if you want more, you can read in the files
Trees12,
Trees13,
Trees14,
Trees15,
Trees16
(in that order!), each of which appends to *TREES* a list of trees on the indicated number
of vertices.

**Note:** I did not construct this data, but merely translated into Maple the
database of trees created by S. Piec, K. Malarz, and K. Kulakowski as
described
in their preprint "How to count trees?", arXiv:cond-mat/0501594.
- Computational verification of Conjectures 6
and 7 (which assert that a certain symmetric function
is h-positive and almost h-integral). This is a Maple
worksheet
that uses John Stembridge's freely available SF package.
I was able to confirm both conjectures for all
*n*≤20 before my
computer ran out of memory.

- Drawing basketballs and (as animations) necklaces of basketballs (Maple):
basketball.txt

Jeremy Martin's home page

Last updated Mon 9/17/12 8:00 PM CDT