THE ASYMPTOTIC DEGREE DISTRIBUTIONS OF RANDOM FAST GROWTH MODELS FOR TREELIKE NETWORKS
Sign Up to like & getrecommendations! Published in 2017 at "Probability in the Engineering and Informational Sciences"
DOI: 10.1017/s0269964816000516
Abstract: We propose two random network models for complex networks, which are treelike and always grow very fast. One is the uniform model and the other is the preferential attachment model, and both of them depends… read more here.
Keywords: asymptotic degree; degree distributions; growth models; random fast ... See more keywords
SBbadger: biochemical reaction networks with definable degree distributions
Sign Up to like & getrecommendations! Published in 2022 at "Bioinformatics"
DOI: 10.1093/bioinformatics/btac630
Abstract: MOTIVATION An essential step in developing computational tools for the inference, optimization, and simulation of biochemical reaction networks is gauging tool performance against earlier efforts using an appropriate set of benchmarks. General strategies for the… read more here.
Keywords: reaction; sbbadger biochemical; degree distributions; reaction networks ... See more keywords
Overcoming the complexity barrier of the dynamic message-passing method in networks with fat-tailed degree distributions.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.045313
Abstract: The dynamic cavity method provides the most efficient way to evaluate probabilities of dynamic trajectories in systems of stochastic units with unidirectional sparse interactions. It is closely related to sum-product algorithms widely used to compute… read more here.
Keywords: overcoming complexity; degree distributions; complexity barrier; fat tailed ... See more keywords
Degree distributions under general node removal: Power-law or Poisson?
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.064309
Abstract: Perturbations made to networked systems may result in partial structural loss, such as a blackout in a power-grid system. Investigating the resulting disturbance in network properties is quintessential to understand real networks in action. The… read more here.
Keywords: degree distributions; power law; node removal; power ... See more keywords
Sharpest possible clustering bounds using robust random graph analysis.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.064311
Abstract: Complex network theory crucially depends on the assumptions made about the degree distribution, while fitting degree distributions to network data is challenging, in particular for scale-free networks with power-law degrees. We present a robust assessment… read more here.
Keywords: network; random; degree distributions; sharpest possible ... 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