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arXiv 2009-01-20 0 views

Simplices and spectra of graphs, continued

Mohar, Bojan · Rivin, Igor

Original · EN

In this note we show that the n-2-dimensional volumes of codimension 2 faces of an n-dimensional simplex are algebraically independent quantities of the volumes of its edge-lengths. The proof involves computation of the eigenvalues of Kneser graphs. We also construct families of non-congurent simplices not determined by their codimension-2 areas.

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