# Quantum graph

## Papers overview

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2015

2015

- 2015

In this paper we study quantum star graphs with time-dependent bond lengths. Quantum dynamics is treated by solving Schrodinger… (More)

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2014

2014

- TQC
- 2014

A homomorphism from a graph X to a graph Y is an adjacency preserving mapping f : V (X)→ V (Y ). We consider a nonlocal game in… (More)

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2011

2011

- 2011

— We define the Bloch spectrum of a quantum graph to be the map that assigns to each element in the deRham cohomology the… (More)

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2009

2009

- ACIVS
- 2009

In the pattern recognition context, objects can be represented as graphs with attributed nodes and edges involving their… (More)

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Highly Cited

2008

Highly Cited

2008

- 2008

Recently, Baker and Norine have proven a Riemann-Roch theo rem for finite graphs. We extend their results to metric graphs and… (More)

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2007

2007

- 2007

In geometric analysis, an index theorem relates the difference of the numbers of solutions of two differential equations to the… (More)

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2006

2006

- 2006

We consider magnetic Schrödinger operators on quantum gra phs with identical edges. The spectral problem for the quantum graph is… (More)

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2006

2006

- 2006

The inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It is shown that this problem has… (More)

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2005

2005

- 2005

The notion of band limited functions is introduced on a quantum graph. The main results of the paper are a uniqueness theorem and… (More)

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Review

2004

Review

2004

- 2004

We use the name “quantum graph” for a graph considered as a one-dimensional singular variety and equipped with a self-adjoint… (More)

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