185 citations · 273 across the 3 of their papers we have counts for
3 papers
math.CO2005★ 185 cited
On the spectra of nonsymmetric Laplacian matrices
Rafig Agaev, Pavel Chebotarev
A Laplacian matrix is a square real matrix with nonpositive off-diagonal entries and zero row sums. As a matrix associated with a weighted directed graph, it generalizes the Laplac…
math.CO2005★ 85 cited
Forest matrices around the Laplacian matrix
Pavel Chebotarev, Rafig Agaev
We study the matrices Q_k of in-forests of a weighted digraph G and their connections with the Laplacian matrix L of G. The (i,j) entry of Q_k is the total weight of spanning conve…
math.CO2005★ 3 cited
Matrices of Forests and the Analysis of Digraphs
Pavel Chebotarev, Rafig Agaev
The matrices of spanning rooted forests are studied as a tool for analysing the structure of digraphs and measuring their characteristics. The problems of revealing the basis bicom…