Students' Final Projects for Math 640: EXPERIMENTAL MATHEMATICS, Spring 2008

Last Update: Oct. 29, 2008.

• Use the Matrix Tree Theorem to find sequences for the number of spanning trees of infinite families of graphs. Try to conjecture expressions for them or their generating functions (automatically of course!). [Paul Raff]
  Read Paul Raff's great article.
  
• Interface Goulden-Jackson with natural language (e.g. English), see how far it predicts the actual behavior, by analysing texts that you can easily download form the internet.
  You may use the List of English words, in Maple format.
  [Beth Kupin and Debbie Yuster]
  Here is Beth Kupin and Debbie Yuster's awesome Goulden-Jackson page, that contains their great Maple codes, and lots of examples, and their article.
• Interface Goulden-Jakson with Dyck words. [Andrew Baxter]
• Investigate solid partitions [Brian Nakamura].
  Here is Brian Nakamura's Final Project.
• Investigate 3D Young Tableaux [Emilie Hogan]
  Here is Emilie Hogan's Maple Package and Emilie Hogan's writeup