SIR dynamics in random networks with communities
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-018-1247-5
Abstract: This paper investigates the effects of the community structure of a network on the spread of an epidemic. To this end, we first establish a susceptible–infected–recovered (SIR) model in a two-community network with an arbitrary… read more here.
Keywords: community; community structure; network; degree distribution ... See more keywords
The Role of Graphlets in Viral Processes on Networks
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DOI: 10.1007/s00332-018-9465-y
Abstract: Predicting the evolution of viral processes on networks is an important problem with applications arising in biology, the social sciences, and the study of the Internet. In existing works, mean-field analysis based upon degree distribution… read more here.
Keywords: viral processes; degree distribution; distribution; real world ... See more keywords
Greed is Good for Deterministic Scale-Free Networks
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DOI: 10.1007/s00453-020-00729-z
Abstract: Large real-world networks typically follow a power-law degree distribution. To study such networks, numerous random graph models have been proposed. However, real-world networks are not drawn at random. Therefore, Brach et al. (27th symposium on discrete… read more here.
Keywords: power law; random; degree distribution; power ... See more keywords
Temporal evolution of the degree distribution of alters in growing networks
Sign Up to like & getrecommendations! Published in 2018 at "Network Science"
DOI: 10.1017/nws.2017.19
Abstract: Abstract The degree distribution of the neighbors of nodes in a network is a theoretically important tool that is invoked in diverse studies in network science, such as epidemics, network resilience, network search and observability,… read more here.
Keywords: temporal evolution; growing networks; network; degree distribution ... See more keywords
Asymptotic degree distribution in preferential attachment graph models with multiple type edges
Sign Up to like & getrecommendations! Published in 2019 at "Stochastic Models"
DOI: 10.1080/15326349.2019.1624574
Abstract: Abstract We deal with a general preferential attachment graph model with multiple type edges. The types are chosen randomly, in a way that depends on the evolution of the graph. In the N-type case, we… read more here.
Keywords: asymptotic degree; preferential attachment; graph; type edges ... See more keywords
Structure of networks that evolve under a combination of growth and contraction.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.044305
Abstract: We present analytical results for the emerging structure of networks that evolve via a combination of growth (by node addition and random attachment) and contraction (by random node deletion). To this end we consider a… read more here.
Keywords: network; growth; contraction; case ... See more keywords
Analytical approach to network inference: Investigating degree distribution.
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.98.022311
Abstract: When the network is reconstructed, two types of errors can occur: false positive and false negative errors about the presence or absence of links. In this paper, the influence of these two errors on the… read more here.
Keywords: analytical approach; network; approach network; degree distribution ... See more keywords
Asymptotic Degree Distributions in Large (Homogeneous) Random Networks: A Little Theory and a Counterexample
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Network Science and Engineering"
DOI: 10.1109/tnse.2019.2938916
Abstract: In random graph models, the degree distribution of an individual node should be distinguished from the (empirical) degree distribution of the graph that records the fractions of nodes with given degree. We introduce a general… read more here.
Keywords: random networks; degree distributions; homogeneous random; random ... See more keywords
Information diffusion structure on social networks with general degree distribution
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Modern Physics C"
DOI: 10.1142/s0129183121500479
Abstract: In this paper, we study the information diffusion structure on social networks with general degree distribution. To describe the information diffusion structure, we adopt six different viewpoints of metrics, including structural virality, distance variance, distance… read more here.
Keywords: diffusion; information diffusion; distribution; degree distribution ... See more keywords