"Demonic Graphs and Undergraduate Research", Dr. Aparna Higgins, University of Dayton and U.S. Military Academy, West Point
My work with undergraduates on mathematical reserach has been one of the most satisfying aspects of my teaching career. This talk will highlight some of the beauty and depth of the research done by my former undergraduate students on line graphs and pebbling on graphs. We will consider iterated line graphs, some pioneering results in pebbling graphs, and pebbling numbers of line graphs. The results of some of the later students built on work done by the earlier ones, and has spawned some of my own recent research.