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### An observation on crystal graphs

**Algebra & Discrete Mathematics**

Speaker: | Monica Vazirani, U C Davis |

Location: | 693 Kerr |

Start time: | Mon, May 9 2005, 3:10PM |

A crystal graph is a colored directed graph satisfying certain axioms. Stembridge gave a "local characterization" of those crystal graphs attached to highest weight modules of Lie algebras of simply laced type. In other words, he gave a purely graph-theoretic way of recognizing those graphs. In this talk, we observe another property these graphs have. Although not a characterizing property, it is surprising in its rigidity.