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:  2019
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:  80
:   .. : - // . 80. .: , 2019. .57-82. DOI: https://doi.org/10.25728/ubs.2019.80.4
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(.):  centrality measures, key elements of the interconnected objects system, monotone systems
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(.):  Classical centrality indexes for the analysis of system of interrelating and interacting objects and widespread methods of key elements detection by ranging nodes on the value of common network centrality index not always consider intensity of intra-group interactions in the system. We offer context-dependent measures of centrality based on intra-group interaction of elements in the network. Namely the proposed centrality measure of each element depends on the subset of elements for which is considered. For general integrated characteristic of importance, influence, etc. of some group of nodes we offer to use minimum or maximum, but not an average, value of the centrality index of nodes in this group. For definition of subset of key nodes in the network, we offer to use algorithms of special cluster analysis algorithms for monotone system kernel detection. It not only provides determination of global extremum of functional in the corresponding optimization task, but also allows to analyze structure of network in more detail. As an example of application of the offered approach, the network of export links of the member countries of the European Union is considered. The special front boundary role of United Kingdom in the core of the European Union is revealed.

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