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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…
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Related topics
Related topics
8 relations
Dirac operator
Graph (discrete mathematics)
Graph theory
Hilbert space
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Broader (1)
Quantum mechanics
Papers overview
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2018
2018
A G ] 5 O ct 2 01 8 TROPICAL MOMENTS OF TROPICAL JACOBIANS
R. Jong
2018
Corpus ID: 53656148
Each metric graph has canonically associated to it a polarized real torus called its tropical Jacobian. A fundamental real-valued…
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2017
2017
Time dependent quantum graph with loop
D. A. Eremin
,
E. Grishanov
,
O. G. Kostrov
,
D. S. Nikiforov
,
I. Popov
2017
Corpus ID: 56330373
A quantum graph is a rather old mathematical model introduced initially to aid in the description of macromolecules [1]. Later…
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2016
2016
Approximation algorithms for single allocation k-hub center problem
Li-Hsuan Chen
,
Dun-Wei Cheng
,
S. Hsieh
,
Ling-Ju Hung
,
Chia-Wei Lee
,
B. Wu
2016
Corpus ID: 6901608
Given a metric graph G = (V,E,w) and a positive integer k, the Single Allocation k-Hub Center problem is to find a spanning…
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2016
2016
Homogenization of diffusion processes on scale-free metric networks
Fernando A. Morales
,
D. E. Restrepo
2016
Corpus ID: 127321808
This work studies the homogenization of diffusion processes on scale-free metric graphs, using weak variational formulations. The…
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Review
2016
Review
2016
Brownian motions on metric graphs
Florian Werner
2016
Corpus ID: 125156229
In this work, Brownian motions on metric graphs are defined as right continuous, strong Markov processes which, while inside an…
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2010
2010
BROWNIAN MOTIONS ON METRIC GRAPHS I DEFINITION, FELLER PROPERTY, AND GENERATORS
V. Kostrykin
,
J. Potthoff
,
R. Schrader
2010
Corpus ID: 118573935
Brownian motions on a metric graph are defined, their Feller property is proved, and their generators are characterized. This…
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2010
2010
Combinatorial Optimization on k-Connected Graphs
J. Cheriyan
2010
Corpus ID: 1092019
The topic of network design occupies a central place in Combinatorial Optimization. There are a number of key open questions…
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2007
2007
The Fixed-Hub Single Allocation Problem: A Geometric Rounding Approach
Dongdong Ge
,
Y. Ye
,
Jiawei Zhang
2007
Corpus ID: 127931
This paper discusses the flxed-hub single allocation problem. In the model hubs are flxed and fully connected; and each terminal…
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2006
2006
On graph approximations of surfaces with small area
N. Zinov'ev
2006
Corpus ID: 46643411
It is shown that, for every closed oriented surface M of genus g with an arbitrary Riemann metric, there exists a metric graph of…
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2006
2006
Spaces of Kleinian Groups: The pants complex has only one end
H. Masur
,
S. Schleimer
2006
Corpus ID: 11878288
, any pair of pants decompositions P and Q, at distance greater than KRfrom a basepoint, can be connected by a path which remains…
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