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On the Degree Distribution of Haros Graphs [PDF]
Mathematics, 2022 Haros graphs are a graph-theoretical representation of real numbers in the unit interval. The degree distribution of the Haros graphs provides information regarding the topological structure and the associated real number.
Jorge Calero-Sanz
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Altered Weibull Degree Distribution in Resting-State Functional Brain Networks Is Associated With Cognitive Decline in Mild Cognitive Impairment [PDF]
Frontiers in Aging Neuroscience, 2021 The topological organization of human brain networks can be mathematically characterized by the connectivity degree distribution of network nodes. However, there is no clear consensus on whether the topological structure of brain networks follows a power
Yifei Zhang +18 more
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The role of degree distribution in shaping the dynamics in networks of sparsely connected spiking neurons [PDF]
Frontiers in Computational Neuroscience, 2011 Neuronal network models often assume a fixed probability of connectionbetween neurons. This assumption leads to random networks withbinomial in-degree and out-degree distributions which are relatively narrow.
Alex eRoxin
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Asymptotic Degree Distributions in Random Threshold Graphs [PDF]
EntropyWe discuss several limiting degree distributions for a class of homogeneous random graphs, known as random threshold graphs, in the many node regime.
Armand M. Makowski, Siddharth Pal
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Design and Analysis of LT Codes With a Reverse Coding Framework
IEEE Access, 2021 In this paper, an improved LT code with a reverse coding framework is designed to reduce the error floor caused by low-degree information nodes. For the proposed coding scheme, a well-designed threshold is used to mark the information nodes whose degrees
Xin Song +4 more
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The Random Plots Graph Generation Model for Studying Systems with Unknown Connection Structures
Entropy, 2022 We consider the problem of modeling complex systems where little or nothing is known about the structure of the connections between the elements. In particular, when such systems are to be modeled by graphs, it is unclear what vertex degree distributions
Evgeny Ivanko, Mikhail Chernoskutov
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Entropy, 2021 The degree distribution has attracted considerable attention from network scientists in the last few decades to have knowledge of the topological structure of networks. It is widely acknowledged that many real networks have power-law degree distributions.
Hohyun Jung, Frederick Kin Hing Phoa
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Degree Distributions of Growing Networks [PDF]
Physical Review Letters, 2001 Physical Review ...
Krapivsky, PL, Rodgers, GJ, Redner, S
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Influence of reciprocal edges on degree distribution and degree correlations [PDF]
Physical Review E, 2009 Reciprocal edges represent the lowest-order cycle possible to find in directed graphs without self-loops. Representing also a measure of feedback between vertices, it is interesting to understand how reciprocal edges influence other properties of complex networks.
Štefančić, Hrvoje, Zlatić, Vinko
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Mathematics, 2023 Inhomogeneous random graphs are commonly used models for complex networks where nodes have varying degrees of connectivity. Computing the degree distribution of such networks is a fundamental problem and has important applications in various fields.
Róbert Pethes, Levente Kovács
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