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Tree forest metrics for Schrödinger operators in networks

Author
Carmona, A.; Encinas, A.; Gago, S.
Type of activity
Presentation of work at congresses
Name of edition
Seventh Czech-Slovak International Symposium on Graph Theory, Combinatorics, Algorithms and Applications
Date of publication
2013
Presentation's date
2013-07-12
Book of congress proceedings
Seventh Czech-Slovak International Symposium on Graph Theory, Combinatorics, Algorithms and Applications. 7th to 13th July 2013, Kosice, Slovakia.
First page
27
Last page
27
URL
http://umv.ics.upjs.sk/csgt13/ Open in new window
Abstract
Metrics in graphs provide measures of proximity between vertices. The classical short-path distances can be replaced for more general metrics, as the adjusted forest metric introduced by Chebotarev et al. in [2]. Other related distance is the one provided for the resistance distance of a network [3]. The objective of our work is to generalize the adjusted forest metric related to Laplacian operators to the adjusted forest metric related to Schr¨odinger operators, under the functional analysis f...
Group of research
MAPTHE - Matrix Analysis and Discrete Potential Theory
VARIDIS - Discrete Riemannian Manifolds and Potential Theory

Participants