Quantifying the connectivity of a network: the network correlation function method.
Explore this paper's citation graph
Summary
This paper quantifies the correlations between all pairs of nodes in the network, and expresses them as matrix elements in the correlation matrix, and distinguishes between a topological small world and a functional small world, where the latter is characterized by long-range correlations and high connectivity.
- Type
- article
- Published
- 2009-10-07
- Cited by
- 53
- References
- 58
- Access
- Open access
- OpenAlex
- https://openalex.org/W1978510383
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:2774621
Keywords
Average path length, Topology (electrical circuits), Small-world network, Clustering coefficient, Biological network
References
- Stochastic simulation of chemical kinetics.
- Models of the Small World
- Social Network Analysis: Methods and Applications
- IL-13受体α2降低血吸虫病肉芽肿的炎症反应并延长宿主存活时间[英]/Mentink-Kane MM,Cheever AW,Thompson RW,et al//Proc Natl Acad Sci U S A
- The balance of nature
- The small world of metabolism
- Systems Biology: Properties of Reconstructed Networks
- The Physics and Chemistry of the Interstellar Medium
- Accessibility of information on the web
- Scientific collaboration networks. II. Shortest paths, weighted networks, and centrality.
- Spreading gossip in social networks.
- The small world inside large metabolic networks
- On the properties of small-world network models
- Power-Law Distribution of the World Wide Web
- Dynamical and correlation properties of the internet.
- Emergence of scaling in random networks
- Scientific collaboration networks. I. Network construction and fundamental results.
- The Diameter of Sparse Random Graphs
- Topological structural classes of complex networks.
- Phase transition in the Ising model on a small-world network with distance-dependent interactions.
Cited by
- Response to Letter of Correspondence – Bastiaens et al.
- The role of Heparin-binding proteins in normal pancreas and acute pancreatitis
- Integral Approach to Risk Management and Assessment of Urban Infrastructure
- Phase clustering in complex networks of delay-coupled oscillators.
- Interactions between Distant ceRNAs in Regulatory Networks
- Structural and functional networks in complex systems with delay
- Vulnerability assessment of infrastructure networks by using hierarchical decomposition methods
- Hierarchical infrastructure network representation methods for risk-based decision-making
- The heparin-binding protein interactome in pancreatic diseases.
- Universality in network dynamics
- Network link prediction by global silencing of indirect correlations
- Emergence of scaling and assortative mixing through altruism
- Aproximación integral a la evaluación y manejo de riesgos sobre la infraestructura urbana
- Network analysis: a new approach to study endocrine disorders.
- Constructing minimal models for complex system dynamics
- Mapping from structure to dynamics: a unified view of dynamical processes on networks.
- Universal resilience patterns in complex networks
- Network analysis and juvenile idiopathic arthritis (JIA): a new horizon for the understanding of disease pathogenesis and therapeutic target identification
- Estimating psychological networks and their accuracy: A tutorial paper
- RIDS: Robust Identification of Sparse Gene Regulatory Networks from Perturbation Experiments
Related papers
- Small-World Network in OMNeT++
- A new small-world network created by Cellular Automata
- Hierarchical construction of multi-star small-world networks for real-world applications
- Discovering small-world in association link networks for association learning
- The Ubiquity of Small-World Networks
- GROWING SMALL-WORLD NETWORKS GENERATED BY ATTACHING TO EDGES
- A NOVEL SMALL-WORLD NETWORK MODEL: KEEPING CONNECTIVITY WITHOUT ADDING EDGES
- Networks in biology: Handling biological complexity requires novel inputs into network theory