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Relationship between degree–rank distributions and degree distributions of complex networks

Physica A: Statistical Mechanics and its Applications, 2007
Both the degree distribution and the degree–rank distribution, which is a relationship function between the degree and the rank of a vertex in the degree sequence obtained from sorting all vertices in decreasing order of degree, are important statistical properties to characterize complex networks.
Jun Wu   +4 more
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Degree distributions of evolving networks

Europhysics Letters (EPL), 2006
In this paper, we propose a simple evolving network model with link and node removals as well as additions and show that this evolving network is scale free with a degree exponent varying in (1,4] depending on the network parameter values. By establishing a relation between the network evolution and a set of non-homogeneous birth-and-death processes ...
Shi, D., Liu, L., Zhu, S.X., Zhou, H.
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Revealing degree distribution of bursting neuron networks

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2010
We present a method to infer the degree distribution of a bursting neuron network from its dynamics. Burst synchronization (BS) of coupled Morris–Lecar neurons has been studied under the weak coupling condition. In the BS state, all the neurons start and end bursting almost simultaneously, while the spikes inside the burst are incoherent among the ...
Yu, Shen, Zhonghuai, Hou, Houwen, Xin
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Combined degree distribution: A simple method to design the degree distribution of fountain codes

2013 IEEE Third International Conference on Information Science and Technology (ICIST), 2013
The degree distribution of Fountain Codes has a very important influence on Fountain Codes decoding process. So optimizing the Fountain Codes degree distribution is very significant. In this paper, we present a new way to design the degree distribution with the idea of combining several different degree distributions and integrating them to one degree ...
Meng Zhang, Weijia Lei, Xianzhong Xie
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Degree distribution analysis of LT codes

The Journal of China Universities of Posts and Telecommunications, 2011
Abstract In this paper we mainly analyze two kinds of degree distribution of LT (Luby Transform) codes, the Ideal Soliton distribution and the Robust Soliton distribution, and find that the one-degree symbol that needed during decoding process is not well distribute. Then we give an improved adaptive encoding method.
Qiu-shi ZANG, Guang-zeng FENG
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On the asymptotics of degree distributions

2015 54th IEEE Conference on Decision and Control (CDC), 2015
In random graph models, the degree distribution of individual nodes should be contrasted against the degree distribution of the graph, i.e., the usual fractions of nodes with given degrees. We introduce a general framework to discuss conditions under which these two degree distributions coincide asymptotically in large random networks.
Siddharth Pal, Armand M. Makowski
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On the degree distribution of opportunistic networks

Proceedings of the Second International Workshop on Mobile Opportunistic Networking, 2010
This paper presents an analytical approach to model opportunistic networks, with mobile devices that may concurrently employ multiple networks. By modeling these systems as complex networks, it is possible to obtain information on the degree probability distribution of nodes.
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Graph sampling: Estimation of degree distributions

2013 IEEE International Conference on Acoustics, Speech and Signal Processing, 2013
Online social networks and the World Wide Web lead to large underlying graphs that might not be completely known because of their size. To compute reliable statistics, we have to resort to sampling the network. In this paper, we investigate four network sampling methods to estimate the network degree distribution and the so-called biased degree ...
Joya A. Deri, Jose M. F. Moura
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Recursively enumerablem- andtt-degrees II: The distribution of singular degrees

Archive for Mathematical Logic, 1988
[Part I is reviewed above (see Zbl 0631.03031).] An r.e. \(tt\)-degree is called singular if it contains exactly one r.e. m-degree, and a \(T\)-degree is called singular if it contains a singular r.e. tt-degree. Singular degrees were first constructed by \textit{A. N. Degtev} [Algebra Logika 12, 143-161 (1973; Zbl 0338.02023)].
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Degrees of Freedom and Wigner Distribution

2004
One of the most commonly implemented phase-space representations is the Wigner distribution function (WDF) [11], [12]. The WDF may be considered as a wave generalization of the “Delano diagram” which is also known as the Y ω representation. The Y ω diagram is a ray model in which the Y-axis represents the spatial location and the ω-axis represents the ...
Zeev Zalevsky, David Mendlovic
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