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May 20, 2026
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On a typology of nodes and its applications in network analysis

Ch. 31. P. 293–300.
Matveenko V.

Commonly in network analysis a graph (network) is represented by its adjacency matrix, and the latter may have an enormous order. We show that in many situations (generalizing the case of regular graph) a much smaller matrix (referred as type adjacency matrix) may be used instead. We introduce concepts of the types of nodes and of the type adjacency matrix, study properties of the latter and demonstrate some of its applications in social and economic network analysis. In particular, we consider centrality measures in undirected networks and dynamic patterns in a development model based on the structure of optimal paths in directed weighted networks.

Language: English
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Keywords: сетевой анализграфмодель экономического развитияgraphnetwork analysiscentralityцентральностьmodel of economic developmentadjacency matrixtypes of nodesoptimal pathsматрица смежноститипы вершиноптимальные пути

In book

Supplementary Proceedings of the Sixth International Conference on Analysis of Images, Social Networks and Texts (AIST-SUP 2017), Moscow, Russia, July 27-29, 2017
Vol. 1975. , Aachen: CEUR-WS.org, 2017.
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