On Rayleigh–Ritz ratios of a generalized Laplacian matrix of directed graphs

On the distance matrix of a directed gra

On the distance matrix of a directed graph

✍ R. L. Graham; A. J. Hoffman; H. Hosoya 📂 Article 📅 1977 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB 👁 2 views

## 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 _