Some Structural Properties of Acyclic Heaps of Pieces |
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Authors: | Brent Pohlmann |
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Institution: | 1. California Maritime Academy, 200 Maritime Academy Drive, Vallejo, CA, 94590, USA
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Abstract: | We introduce the notions of boundary vertex, linear equivalence, and effective boundary vertex in the context of Viennot??s heaps of pieces. We prove that in the heap of a fully commutative element in a star reducible Coxeter group, every boundary vertex is linearly equivalent to an effective boundary vertex. |
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