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  2. Erdős–Rényi model - Wikipedia

    en.wikipedia.org/wiki/Erdős–Rényi_model

    e. In the mathematical field of graph theory, the Erdős–Rényi model refers to one of two closely related models for generating random graphs or the evolution of a random network. These models are named after Hungarian mathematicians Paul Erdős and Alfréd Rényi, who introduced one of the models in 1959. [1][2] Edgar Gilbert introduced the ...

  3. Barabási–Albert model - Wikipedia

    en.wikipedia.org/wiki/Barabási–Albert_model

    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 (called hubs) with unusually high degree as compared to ...

  4. Stochastic block model - Wikipedia

    en.wikipedia.org/wiki/Stochastic_block_model

    The stochastic block model is a generative model for random graphs. This model tends to produce graphs containing communities, subsets of nodes characterized by being connected with one another with particular edge densities. For example, edges may be more common within communities than between communities.

  5. Lancichinetti–Fortunato–Radicchi benchmark - Wikipedia

    en.wikipedia.org/wiki/Lancichinetti–Fortunato...

    Network science. Lancichinetti–Fortunato–Radicchi benchmark is an algorithm that generates benchmark networks (artificial networks that resemble real-world networks). They have a priori known communities and are used to compare different community detection methods. [1] The advantage of the benchmark over other methods is that it accounts ...

  6. Random geometric graph - Wikipedia

    en.wikipedia.org/wiki/Random_geometric_graph

    In graph theory, a random geometric graph (RGG) is the mathematically simplest spatial network, namely an undirected graph constructed by randomly placing N nodes in some metric space (according to a specified probability distribution) and connecting two nodes by a link if and only if their distance is in a given range, e.g. smaller than a certain neighborhood radius, r.

  7. Multi Router Traffic Grapher - Wikipedia

    en.wikipedia.org/wiki/Multi_Router_Traffic_Grapher

    Website. oss.oetiker.ch /mrtg /. The Multi Router Traffic Grapher (MRTG) is free software for monitoring and measuring the traffic load on network links. It allows the user to see traffic load on a network over time in graphical form. It was originally developed by Tobias Oetiker and Dave Rand to monitor router traffic, but has developed into a ...

  8. Scale-free network - Wikipedia

    en.wikipedia.org/wiki/Scale-free_network

    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. where is a parameter whose value is typically in the range (wherein the second moment (scale parameter) of is infinite ...

  9. Watts–Strogatz model - Wikipedia

    en.wikipedia.org/wiki/Watts–Strogatz_model

    Network science. Watts–Strogatz small-world model generated by igraph and visualized by Cytoscape 2.5. 100 nodes. 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 ...

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