185 citations · 276 across the 4 of their papers we have counts for
4 papers
On a Duality between Metrics and -Proximities
P. Yu. Chebotarev, E. V. Shamis
: In studies of discrete structures, functions are frequently used that express proximity, but are not metrics. We consider a class of such functions that is characterized by a nor…
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…
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…
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…