Direct Calculation of a Tree Length Using a Distance Matrix
β Scribed by Yves Pauplin
- Book ID
- 105933522
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 796 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0022-2844
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this note, we show how the determinant of the distance matrix __D(G__) of a weighted, directed graph __G__ can be explicitly expressed in terms of the corresponding determinants for the (strong) blocks __G~i~__ of __G__. In particular, when cof __D(G__), the sum of the cofactors of _
A tree with attached graphs is a tree, together with graphs defined on its partite sets. We introduce the notion of incidence matrix, Laplacian and distance matrix for a tree with attached graphs. Formulas are obtained for the minors of the incidence matrix and the Laplacian, and for the inverse and