Geodesic
Matrices and graphs in Euclidean geometry
The electronic journal of linear algebra, Tome 14 (2005), pp. 51-58.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 05C50, 52A40
Keywords: Euclidean space, gram matrix, biorthogonal bases, simplex, interior angle, Steiner circumscribed ellipsoid, right simplex 
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     author = {Fiedler, Miroslav},
     title = {Matrices and graphs in {Euclidean} geometry},
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Fiedler, Miroslav. Matrices and graphs in Euclidean geometry. The electronic journal of linear algebra, Tome 14 (2005), pp. 51-58. http://geodesic.mathdoc.fr/item/ELA_2005__14__a0/