Simplices and spectra of graphs, continued
Metric Geometry
2009-01-22 v1 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.0901.3284,
title = {Simplices and spectra of graphs, continued},
author = {Bojan Mohar and Igor Rivin},
journal= {arXiv preprint arXiv:0901.3284},
year = {2009}
}
Comments
6 pages. Improves results of arXiv:0803.1317