University of Minnesota
Mathematics
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Junior Colloquium

COUNTING ON & COLORING THE HANOI GRAPHS

Prof. Su Doree

The Hanoi graphs are infinite family of state graphs arising from the generalized Tower of Hanoi puzzle.

In this talk I will introduce these beautiful and complicated graphs, explore some of the properties of these graphs (including a natural labeling and coloring), and mention how alternative counts in the graph can be used to prove some well-known combinatorial identities.

All I assume is a passing familiarity with graphs, elementary counting techniques, and recursions -- certainly any graduate student should find the talk accessible.

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