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arxiv: 0803.1317 · v1 · submitted 2008-03-09 · 🧮 math.MG · math.RT

Simplices and spectra of graphs

classification 🧮 math.MG math.RT
keywords algebraicallycodimensioncombinatoriallycompletecomputeedgesfacesfunctions
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In this note we show the n-2-dimensional volumes of codimension 2 faces of an n-dimensional simplex are algebraically independent functions of the lengths of edges. In order to prove this we compute the complete spectrum of a combinatorially interesting graph.

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