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
Matroids arising from algebraic shifting
Lazar Guterman, Eran Nevo
We characterize the shifted simple graphs and the -uniform shifted hypergraphs whose inverse image under exterior shifting is the set of bases of a matroid: those are exactly th…
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…