Chip-firing games on graphs

Series
Research Horizons Seminar
Time
Wednesday, November 30, 2011 - 12:05pm for 1 hour (actually 50 minutes)
Location
Skiles 005.
Speaker
Farbod Shokrieh – Georgia Tech.
Organizer
Amey Kaloti
I will discuss the theory of chip-firing games, focusing on the interplay between chip-firing games and potential theory on graphs. To motivate the discussion, I will give a new proof of "the pentagon game". I will discuss the concept of reduced divisors and various related algorithmic aspects of the theory. If time permits I will also give some applications, including an "efficient bijective" proof of Kirchhoff's matrix-tree theorem.