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.