MAPTHE is a group of research in the Mathematics Department (Departament de Matemàtiques) from the Universitat Politècnica de Catalunya-BarcelonaTech (UPC).
The main objectives of our research is the study of Linear Problems from a Potential Theory point of view. That includes the analysis of:
- Equilibrium measures on networks
- Discrete vector calculus
- Boundary value problems on network associated with Schrödinger operator
- General elliptic operators on networks
- Effective resistances and Kirchhoff index
- Green operators and generalized inverses
- M-matrix inverse problems
- The inverse problems on networks
- Connectivity of graphs and digraphs
- Vulnerability of interconnection networks
- Extremal graph theory
- Finites Geometries