71 citations · 71 across the 2 of their papers we have counts for
3 papers
Vulnerability and Hierarchy of Complex Networks
V. Gol'dshtein, G. A. Koganov, G. I. Surdutovich
We suggest an approach to study hierarchy, especially hidden one, of complex networks based on the analysis of their vulnerability. Two quantities are proposed as a measure of netw…
Some properties of hierarchic regular networks (a peep into fractal structures)
Gregory Surdutovich, Vladimir Gol'dshtein, Gennady Koganov
We give exact relations for certain types of the hierarchic fractal structures. In the blatant distinction from regular networks of the "small world" (SW) topology [1], regular fra…
Compactness of the embedding operators for rough domains
Vladimir Gol'dshtein, Alexander G. Ramm
New classes of non-smooth bounded domains D, for which the embedding operator from H^1(D) into L^2(D) is compact are introduced. Examples are given and applications to scattering b…