ELA, Volume 14, pp. 51-58, September 2005, abstract.
Matrices and Graphs in Euclidean Geometry
Miroslav Fiedler
Some examples of the interplay between matrix theory,
graph theory and n-dimensional Euclidean geometry
are presented. In particular, qualitative properties of
interior angles in simplices are completely characterized.
For right simplices, a relationship between the tree of
legs and the circumscribed Steiner ellipsoids is proved.