2 papers
math.CO2025
Superport networks
Pavlo Pylyavskyy, Svetlana Shirokovskikh, Mikhail Skopenkov
We study multiport networks, common in electrical engineering. They have boundary conditions different from electrical networks: the boundary vertices are split into pairs and the…
math.GT2025
Embedding products of graphs into Euclidean spaces
Mikhail Skopenkov
For any collection of graphs we find the minimal dimension d such that the product of these graphs is embeddable into the d-dimensional Euclidean space. In particular, we prove tha…