Advanced

Graph Laplacians and Topology

Kurasov, Pavel LU (2008) In Arkiv för matematik 46(1). p.95-111
Abstract
Laplace operators on metric graphs are considered. It is proven that for compact graphs the spectrum of the Laplace operator determines the total length, the number of connected components, and the Euler characteristic. For a class of non-compact graphs the same characteristics are determined by the scattering data consisting of the scattering matrix and the discrete eigenvalues.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Arkiv för matematik
volume
46
issue
1
pages
95 - 111
publisher
Springer
external identifiers
  • wos:000253211300007
  • scopus:39349108317
ISSN
0004-2080
DOI
10.1007/s11512-007-0059-4
language
English
LU publication?
yes
id
581fabdb-cd8c-44d9-9977-a3937af533b7 (old id 758113)
alternative location
http://www.springerlink.com/content/d428304272rxp17h/fulltext.pdf
date added to LUP
2008-03-04 14:11:18
date last changed
2017-01-22 03:28:42
@article{581fabdb-cd8c-44d9-9977-a3937af533b7,
  abstract     = {Laplace operators on metric graphs are considered. It is proven that for compact graphs the spectrum of the Laplace operator determines the total length, the number of connected components, and the Euler characteristic. For a class of non-compact graphs the same characteristics are determined by the scattering data consisting of the scattering matrix and the discrete eigenvalues.},
  author       = {Kurasov, Pavel},
  issn         = {0004-2080},
  language     = {eng},
  number       = {1},
  pages        = {95--111},
  publisher    = {Springer},
  series       = {Arkiv för matematik},
  title        = {Graph Laplacians and Topology},
  url          = {http://dx.doi.org/10.1007/s11512-007-0059-4},
  volume       = {46},
  year         = {2008},
}