Spectral gap for quantum graphs and their edge connectivity

Result code in IS VaVaI

RIV/61389005:_____/13:00398984 - isvavai.cz

Result on the web

http://dx.doi.org/10.1088/1751-8113/46/27/275309

DOI - Digital Object Identifier

10.1088/1751-8113/46/27/275309

Result language

angličtina

Original language name

Spectral gap for quantum graphs and their edge connectivity

Original language description

The spectral gap for Laplace operators on metric graphs and the relation between the graph's edge connectivity is investigated, in particular what happens to the gap if an edge is added to (or deleted from) a graph. It is shown that, in contrast to discrete graphs, the connection between the connectivity and the spectral gap is not one-to-one. The size of the spectral gap depends not only on the topology of the metric graph but on its geometric properties as well. It is shown that adding sufficiently large edges as well as cutting away sufficiently small edges leads to a decrease of the spectral gap. Corresponding explicit criteria are given.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

GAP203/11/0701: Guided Quantum Dynamics

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Physics A-Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

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Volume of the periodical

46

Issue of the periodical within the volume

27

Country of publishing house

GB - UNITED KINGDOM

Number of pages

16

Pages from-to

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UT code for WoS article

000320758400018

EID of the result in the Scopus database

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