Algebraic Combinatorics Seminar
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UNIVERSITY OF KENTUCKY **

ALGEBRAIC COMBINATORICS SEMINAR

845 PATTERSON OFFICE TOWER

FALL 2004

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The critical group of split even spiders

Michael Slone

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Monday, November 15, 2004

3:00 pm, 845 Patterson Office Tower

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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.