Nim on Graphs
Date
2012-08-02Type of Degree
dissertationDepartment
Mathematics and Statistics
Metadata
Show full item recordAbstract
Winning strategies for the Game of Nim on Graphs are discussed. Graphs considered are distinguished from those previously studied in that they may have loops. Winning strategies are found for graphs that have loops and whose links form paths, cycles, trees, or monocyclic graphs. Furthermore, strategies are developed to approach games played on graphs that contain an induced tree with loops.