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Green operators of two connected networks

Author
Carmona, A.; Encinas, A.; Gago, S.; Mitjana, M.
Type of activity
Presentation of work at congresses
Name of edition
20th Conference of the International Linear Algebra Society
Date of publication
2016
Presentation's date
2016-07-15
Book of congress proceedings
Proceedings of the 20th ILAS Conference, 11-15 july 2016, Leuven
First page
158
Last page
158
Abstract
We study a particular case of self-adjoint operators on finite connected networks. Schrödinger operators define automorphisms on the subspace orthogonal to the eigenfunctions associated with the lowest eigenvalue. The inverse of an Schrödinger operator is known as orthogonal Green operator and it is closely related with some important indexes, as the Kirchhoff index or the effective resistances of the network. In preliminar works, several effects on these indexes of the original network have b...
Group of research
COMPTHE - Matrix Analysis and Discrete Potential Theory
MAPTHE - Matrix Analysis and Discrete Potential Theory

Participants