Topics in Advanced Mathematics

This course will consider various recently defined graph parameters that can be viewed as the result of playing different games on graphs, e.g., the cop number of a graph (which comes from the game of cops and robbers on graphs), the burn number, power domination number, and the standard and several variations of the zero forcing number of a graph.

Goals: To synthesize previous work in the various areas of mathematics with the goal of putting the areas in a historical perspective and of relating them to the question of what makes up mathematics.

Content: Graph theory, matrix theory, combinatorics, various recently defined graph parameters