Abstract for Aparna Higgins' Talk
Title: Demonic Graphs and
Undergraduate Research
Abstract: My
work with undergraduates on mathematical research
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 have
spawned some of my own
recent
research.