33 citations · 71 across the 5 of their papers we have counts for
5 papers
The Optimal Majority Threshold as a Function of the Variation Coefficient of the Environment
P. Yu. Chebotarev, V. A. Malyshev, Ya. Yu. Tsodikova +3
Within the model of social dynamics determined by collective decisions in a stochastic environment (ViSE model), we consider the case of a homogeneous society consisting of classic…
Matrices of forests, analysis of networks, and ranking problems
Pavel Chebotarev, Rafig Agaev
The matrices of spanning rooted forests are studied as a tool for analysing the structure of networks and measuring their properties. The problems of revealing the basic bicomponen…
Analysis of Collectivism and Egoism Phenomena within the Context of Social Welfare
P. Yu. Chebotarev, A. K. Loginov, Ya. Yu. Tsodikova +2
Comparative benefits provided by the basic social strategies including collectivism and egoism are investigated within the framework of democratic decision-making. In particular, w…
The Forest Metrics for Graph Vertices
Pavel Chebotarev, Elena Shamis
We propose a new graph metric and study its properties. In contrast to the standard distance in connected graphs, it takes into account all paths between vertices. Formally, it is…
On Determining the Eigenprojection and Components of a Matrix
R. P. Agaev, P. Yu. Chebotarev
Matrix theory and its applications make wide use of the eigenprojections of square matrices. The present paper demonstrates that the eigenprojection of a matrix can be calculat…