Analysis of two-mode networks and multiplication of networks

Monika Cerinšek (2015) Analysis of two-mode networks and multiplication of networks. PhD thesis.

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Abstract

The topic of presented dissertation is the analysis of two-mode networks. We deal with the analysis from two aspects. On one hand we research the theoretical part – the methods (network multiplication, normalization of a network, and generalized two- mode cores). On the other hand we use an example of bibliographic data to present the conversion of a data into a set of compatible networks. From those we are able to get derived networks using a network multiplication. Described approach can also be used for other types of data. We deal with the network multiplication especially multiplication of large sparse networks. We answer the question when the product of two sparse networks is also sparse. Using different semirings in a network multiplication we get new interpreta- tions of a product of networks. Semirings that are perspective for the network analysis are presented in this dissertation. A new method for determining important subnetworks in two-mode networks is presented – generalized two-mode cores. is method allows a direct analysis of two-mode networks and we can determine subnetworks according to different properties of links or vertices of a network with it. In presented dissertation are also overviewed basic approaches for obtaining the net- work data. We made an analysis of bibliographic networks to explore the impact of normalizations in collaboration network and in other derived networks. Bibliographic data are especially interesting for the network analysis because with them we get an insight into a development of a particular scientific field.

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