Summer 2008 REU: Groups, Graphs, and Geometry

Information about the 2008 program is given below.

Talks by visiting scholars:

• July 16th: Joshua Knox, Morehead State University Department of Mathematics: The perfect social network
• July 23rd: Prof. Jerrold Griggs, University of South Carolina Department of Mathematics: Minimum span graph labellings with separation conditions
• August 1st: Final presentations by REU participants. The complete schedule of talks is available here. Abstracts are now available here! Here are links to the presentation files themselves:
  • Maxx Cho: The algebraic compatibility of Riemannian operators voice-leading properties (This file was too large to upload; please write to me if you would like a copy of this presentation.)
  • Chelsy Croson: From cycles to wheels: a beginning looks at homomorphisms and color-criticality
  • Daniel Franz: The average connectivity of graphs of automorphisms of Z^*_p
  • Betsy Katz: Random generation of multigraphs with geographical attachment, part I (This file was too large to upload; please write to me if you would like a copy of this presentation.)
  • Thomas Mahoney: The utility of graphs with L(2,1)-labelings
  • Gregory Marcil: The construction of closed hyperbolic tilings
  • Colleen McCarthy: Random generation of multigraphs with geographical attachment, part II
  • Sylvia Naples: The search for an upper bound on the number of graceful labelings for a path with n edges

General information on the program:

• Learning goals for the 2008 program
• Timeline for the 2008 program
• List of possible research problems

Notes on graph theory and geometry:

• Set theoretical preliminaries
• Graph theory, Problem Sheet 1
• Graph theory, Problem Sheet 2
• Graph theory, Problem Sheet 3
• The basics of metric geometry
• Graph theory, Problem Sheet 4
• Graph theory definitions list, vol. 1

Other helpful files:

• Relevant Mathematica files (all courtesy of Mark McClure, UNC Asheville Department of Mathematics):
  • Mathematica basics
  • An introduction to more basic Mathematica commands
  • Mathematica does graph theory!
  • Higher-level computing using Mathematica
  • A cool graphics application
  
  
• Introductory LaTeX information, and information concerning structuring research papers:
  • A description of the format of a typical math research paper
  • Getting started with LaTeX: finding a text editor and compiler
  • A gentle introduction to typesetting with LaTeX
  • The raw LaTeX code for the introduction given above
  • Writing articles (with bibliographies) in LaTeX
  • The raw LaTeX code for the second handout
  • An in-class LaTeX exercise: can you TeX this document?
  
  
• Links to important mathematical databases:
  • The arXiv
  • MathSciNet
  • Not a link, but an assignment: here is your early exercise in applying math research resources!
  
  
• A helpful guide on writing abstracts
  

Information on participating faculty:

• Patrick Bahls
• Samuel Kaplan
• David Peifer

For more information about UNC Asheville itself, please visit this link. For information about Asheville itself, you may visit this link.

All contents © 2007-2008 Patrick Bahls, all rights reserved.

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