1,477 research outputs found
Quantification and Comparison of Degree Distributions in Complex Networks
The degree distribution is an important characteristic of complex networks.
In many applications, quantification of degree distribution in the form of a
fixed-length feature vector is a necessary step. On the other hand, we often
need to compare the degree distribution of two given networks and extract the
amount of similarity between the two distributions. In this paper, we propose a
novel method for quantification of the degree distributions in complex
networks. Based on this quantification method,a new distance function is also
proposed for degree distributions, which captures the differences in the
overall structure of the two given distributions. The proposed method is able
to effectively compare networks even with different scales, and outperforms the
state of the art methods considerably, with respect to the accuracy of the
distance function
A perturbation theory for the Anderson model of magnetic impurities in simple metals
Imperial Users onl
Feature Extraction from Degree Distribution for Comparison and Analysis of Complex Networks
The degree distribution is an important characteristic of complex networks.
In many data analysis applications, the networks should be represented as
fixed-length feature vectors and therefore the feature extraction from the
degree distribution is a necessary step. Moreover, many applications need a
similarity function for comparison of complex networks based on their degree
distributions. Such a similarity measure has many applications including
classification and clustering of network instances, evaluation of network
sampling methods, anomaly detection, and study of epidemic dynamics. The
existing methods are unable to effectively capture the similarity of degree
distributions, particularly when the corresponding networks have different
sizes. Based on our observations about the structure of the degree
distributions in networks over time, we propose a feature extraction and a
similarity function for the degree distributions in complex networks. We
propose to calculate the feature values based on the mean and standard
deviation of the node degrees in order to decrease the effect of the network
size on the extracted features. The proposed method is evaluated using
different artificial and real network datasets, and it outperforms the state of
the art methods with respect to the accuracy of the distance function and the
effectiveness of the extracted features.Comment: arXiv admin note: substantial text overlap with arXiv:1307.362
Transport in the metallic regime of Mn doped III-V Semiconductors
The standard model of Mn doping in GaAs is subjected to a coherent potential
approximation (CPA) treatment. Transport coefficients are evaluated within the
linear response Kubo formalism. Both normal (NHE) and anomalous contributions
(AHE) to the Hall effect are examined. We use a simple model density of states
to describe the undoped valence band. The CPA bandstructure evolves into a spin
split band caused by the exchange scattering with Mn dopants. This gives
rise to a strong magnetoresistance, which decreases sharply with temperature.
The temperature () dependence of the resistance is due to spin disorder
scattering (increasing with ), CPA bandstructure renormalization and charged
impurity scattering (decreasing with ). The calculated transport
coefficients are discussed in relation to experiment, with a view of assessing
the overall trends and deciding whether the model describes the right physics.
This does indeed appear to be case, bearing in mind that the hopping limit
needs to be treated separately, as it cannot be described within the band CPA.Comment: submitted to Phys. Rev.
A bibliography on formal methods for system specification, design and validation
Literature on the specification, design, verification, testing, and evaluation of avionics systems was surveyed, providing 655 citations. Journal papers, conference papers, and technical reports are included. Manual and computer-based methods were employed. Keywords used in the online search are listed
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