Linked network

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Linked network in statistics is a network, which is composed of one-node networks, where the nodes from different one-node networks are connected through two-node networks. This means, that "linked networks are collections of networks defined on different sets of nodes", where all sets of nodes must be connected to each other. [1] :259

Different examples of linked networks are: [1] :259–260 [2]

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Wireless mesh network

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Aleš Žiberna is a Slovene statistician, whose specialty is network analysis. His specific research interests include blockmodeling, multivariate analysis and computer intensive methods.

Generalized blockmodeling of valued networks is an approach of the generalized blockmodeling, dealing with valued networks.

In mathematics applied to analysis of social structures, homogeneity blockmodeling is an approach in blockmodeling, which is best suited for a preliminary or main approach to valued networks, when a prior knowledge about these networks is not available. This is due to the fact, that homogeneity blockmodeling emphasizes the similarity of link (tie) strengths within the blocks over the pattern of links. In this approach, tie (link) values are assumed to be equal (homogenous) within blocks.

Blockmodeling linked networks is an approach in blockmodeling in analysing the linked networks. Such approach is based on the generalized multilevel blockmodeling approach. The main objective of this approach is to achieve clustering of the nodes from all involved sets, while at the same time using all available information. At the same time, all one-mode and two-node networks, that are connected, are blockmodeled, which results in obtaining only one clustering, using nodes from each sets. Each cluster ideally contains only nodes from one set, which also allows the modeling of the links among clusters from different sets. This approach was introduced by Aleš Žiberna in 2014.

Implicit blockmodeling is an approach in blockmodeling, similar to a valued and homogeneity blockmodeling, where initially an additional normalization is used and then while specifying the parameter of the relevant link is replaced by the block maximum.

Generalized blockmodeling of binary networks is an approach of generalized blockmodeling, analysing the binary network(s).

References

  1. 1 2 Žiberna, Aleš (2018). "Chapter 10: Blockmodeling linked networks". In Doreian, Patrick; Batagelj, Vladimir; Ferligoj, Anuška (eds.). Advances in Network Clustering and Blockmodeling. John Wiley & Sons, Inc. pp. 259–280.
  2. Žiberna, Aleš (2020). "k-means-based algorithm for blockmodeling linked networks". Social Networks. 61: 153–169. doi:10.1016/j.socnet.2019.10.006.

See also