3 papers
math.CO2026
Electrical networks, Grassmannians, and cluster algebras
B. Bychkov, L. Guterman, A. Kazakov
The paper studies the problem of circular total positivity of the symmetric matrices with zero row sums. These matrices are exactly response matrices of the electrical networks. Al…
math.CO2025
Electrical networks and data analysis in phylogenetics
V. Gorbounov, A. Kazakov
A classic problem in data analysis is studying the systems of subsets defined by either a similarity or a dissimilarity function on which is either observed directly or derived…
math.CO2024
Symplectic geometry of electrical networks
Boris Bychkov, Vassily Gorbounov, Lazar Guterman +1
In this paper we relate a well-known in symplectic geometry compactification of the space of symmetric bilinear forms considered as a chart of the Lagrangian Grassmannian to the sp…