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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