dc.description.abstract | This thesis is based on chip-firing games as discussed in the following papers:
- Chip-firing, potential theory, spanning trees - Baker, Shokrieh
- Chipfiring games on graphs – Bjorner
- Chipfiring games on directed graphs – Bjorner
- Signed chipfiring games on weighted graphs - J.-H. Park
These papers (and others) will be used to find answers to a few questions regarding chip-firing games. How do they work? Can we encapsulate them in a nice mathematical structure? Can we find efficient algorithms to determine equivalence classes? How are chipfiring games connected to spanning trees? | |