English

Simplices and spectra of graphs

Metric Geometry 2008-03-11 v1 Representation Theory

Abstract

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.

Cite

@article{arxiv.0803.1317,
  title  = {Simplices and spectra of graphs},
  author = {Igor Rivin},
  journal= {arXiv preprint arXiv:0803.1317},
  year   = {2008}
}

Comments

5 pages

R2 v1 2026-06-21T10:19:59.523Z