A scale-free network is a network whose degree distribution follows a power law, at least asymptotically. That is, the fraction P(k) of nodes in the network having k connections to other nodes goes for large values of k as
Albert-László Barabási is a Romanian-born Hungarian-American physicist, best known for his discoveries in network science and network medicine.
In the context of network theory, a complex network is a graph (network) with non-trivial topological features—features that do not occur in simple networks such as lattices or random graphs but often occur in networks representing real systems. The study of complex networks is a young and active area of scientific research inspired largely by empirical findings of real-world networks such as computer networks, biological networks, technological networks, brain networks, climate networks and social networks.
The Barabási–Albert (BA) model is an algorithm for generating random scale-free networks using a preferential attachment mechanism. Several natural and human-made systems, including the Internet, the World Wide Web, citation networks, and some social networks are thought to be approximately scale-free and certainly contain few nodes with unusually high degree as compared to the other nodes of the network. The BA model tries to explain the existence of such nodes in real networks. The algorithm is named for its inventors Albert-László Barabási and Réka Albert.
The Watts–Strogatz model is a random graph generation model that produces graphs with small-world properties, including short average path lengths and high clustering. It was proposed by Duncan J. Watts and Steven Strogatz in their article published in 1998 in the Nature scientific journal. The model also became known as the (Watts) beta model after Watts used to formulate it in his popular science book Six Degrees.
Guido Caldarelli is an Italian physicist and full professor in Theoretical Physics at Ca' Foscari University of Venice.
In mathematics and social science, a collaboration graph is a graph modeling some social network where the vertices represent participants of that network and where two distinct participants are joined by an edge whenever there is a collaborative relationship between them of a particular kind. Collaboration graphs are used to measure the closeness of collaborative relationships between the participants of the network.
The webgraph describes the directed links between pages of the World Wide Web. A graph, in general, consists of several vertices, some pairs connected by edges. In a directed graph, edges are directed lines or arcs. The webgraph is a directed graph, whose vertices correspond to the pages of the WWW, and a directed edge connects page X to page Y if there exists a hyperlink on page X, referring to page Y.
Hierarchical network models are iterative algorithms for creating networks which are able to reproduce the unique properties of the scale-free topology and the high clustering of the nodes at the same time. These characteristics are widely observed in nature, from biology to language to some social networks.
Réka Albert is a Romanian-Hungarian scientist. She is a distinguished professor of physics and adjunct professor of biology at Pennsylvania State University and is noted for the Barabási–Albert model and research into scale-free networks and Boolean modeling of biological systems.
The Erdős–Rényi Prize of the Network Science Society is named for Paul Erdős and Alfréd Rényi. This international prize is awarded annually in a special ceremony at the International Conference on Network Science to an outstanding early-career researcher in the field of network science.
Individual human mobility is the study that describes how individual humans move within a network or system. The concept has been studied in a number of fields originating in the study of demographics. Understanding human mobility has many applications in diverse areas, including spread of diseases, mobile viruses, city planning, traffic engineering, financial market forecasting, and nowcasting of economic well-being.
Network medicine is the application of network science towards identifying, preventing, and treating diseases. This field focuses on using network topology and network dynamics towards identifying diseases and developing medical drugs. Biological networks, such as protein-protein interactions and metabolic pathways, are utilized by network medicine. Disease networks, which map relationships between diseases and biological factors, also play an important role in the field. Epidemiology is extensively studied using network science as well; social networks and transportation networks are used to model the spreading of disease across populations. Network medicine is a medically focused area of systems biology.
Aaron Clauset is an American computer scientist who works in the areas of Network Science, Machine Learning, and Complex Systems. He is currently a professor of computer science at the University of Colorado Boulder and is external faculty at the Santa Fe Institute.
Ginestra Bianconi is a network scientist and mathematical physicist, known for her work on statistical mechanics, network theory, multilayer and higher-order networks, and in particular for the Bianconi–Barabási model of growing of complex networks and for the Bose–Einstein condensation in complex networks. She is a professor of applied mathematics at Queen Mary University of London, and the editor-in-chief of Journal of Physics: Complexity.
Each year since 2018, the Network Science Society selects up to 7 members of the network science community to be Fellows based on their enduring contributions to network science research and to the community of network scientists. Fellows are chosen from nominations received by the Network Science Society Fellowship Committee and are announced at the NetSci Conference hosted every year.
Dashun Wang is a Professor of Management and Organizations at the Kellogg School of Management and the McCormick School of Engineering, at Northwestern University since 2016. At Kellogg from 2019, he is the Founding Director of the Center for Science of Science and Innovation (CSSI). He is also a core faculty at the Northwestern Institute on Complex Systems (NICO) and an Adjunct Professor of Department of Physics, at Northeastern University. His current research focus is on Science of Science. Dashun is a recipient of the AFOSR Young Investigator award (2016) and Poets & Quants Best 40 Under 40 Professors (2019).
Vittoria Colizza is an Italian scientist, research director at INSERM and a specialist in mathematical modeling of infectious disease and computational epidemiology. In particular, she has carried out research on the modeling of seasonal and pandemic flu, Ebola and the COVID-19 pandemic.
Roberta Sinatra is an Italian scientist and associate professor at the IT University of Copenhagen. She is known for her work in network science and conducts research on quantifying success in science.
