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Spectra of the generalized subdivision and other extensions of a network

Author
Mitjana, M.; Carmona, A.; Encinas, A.
Type of activity
Presentation of work at congresses
Name of edition
21st Meeting of the International Linear Algebra Society
Date of publication
2017
Presentation's date
2017-07-26
Book of congress proceedings
ILAS 2017: 21st Meeting of the International Linear Algebra Society: Iowa, United States: July 24-28, 2017: proceedings book
First page
45
Last page
48
Repository
https://wp.las.iastate.edu/ilas-2017/wp-content/uploads/sites/114/2017/06/ILAS2017Abstracts.pdf Open in new window
Abstract
The aim of these work is to investigate the connection between the eigenvalues and eigenfunctions of a network $\Gamma=(V,E,c)$ and those of its generalized subdivision network $\Gamma'=(V\cup V',E',c')$. This is the network obtained from $\Gamma$ by adding a new vertex in some of its edges. Our interest lies in interpreting the matrix associated with a Schr\"odinger operator of $\Gamma$ as the Schur complementation of a suitable Schr\"odinger operator on $\Gamma$ with respect to a set of ve...
Group of research
MAPTHE - Matrix Analysis and Discrete Potential Theory

Participants