Quantum graph

Known as: Metric graph 
In mathematics and physics, a quantum graph is a linear, network-shaped structure of vertices connected by bonds (or edges) with a differential or… (More)
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Papers overview

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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
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
— 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
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
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
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
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
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
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
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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