Geodesic
The distance matrix of a bidirected tree
The electronic journal of linear algebra, Tome 18 (2009), pp. 233-245.

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

Summary: A bidirected tree is a tree in which each edge is replaced by two arcs in either direction. Formulas are obtained for the determinant and the inverse of a bidirected tree, generalizing well-known formulas in the literature.
Classification : 05C50, 15A15
Keywords: tree, distance matrix, Laplacian matrix, determinant, block matrix 
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Bapat, Ravindra B.; Lal, Arbind K.; Pati, Sukanta. The distance matrix of a bidirected tree. The electronic journal of linear algebra, Tome 18 (2009), pp. 233-245. http://geodesic.mathdoc.fr/item/ELA_2009__18__a38/