The critical group of split even spiders

Michael Slone

Monday, November 15, 2004
3:00 pm, 845 Patterson Office Tower

Abstract:

We introduce the split graph and compute the critical group for a subclass of split trees. We also show how to determine the tree number for any split tree. Finally, we give a conjecture for the relation between the critical group of a connected graph and that of any of its split graphs.