Simplices and spectra of graphs, continued

Details Simplices and spectra of graphs, continued Simplices and spectra of graphs, continued

2009-01-20

arxiv.org/abs/0901.3284v1

Mathematics

Metric Geometry

6 pages. Improves results of arXiv:0803.1317

Scientific paper

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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