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- Lomonosov Moscow State UniversityRU146 papers
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4 papers · 1 filter
Pentagon Relations in Direct Sums and Grassmann Algebras
Igor G. Korepanov, Nurlan M. Sadykov
We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three n-dimensional vector spaces. As a consequence, we obtain pentagon relations in…
Empirical Validation of the Buckley--Osthus Model for the Web Host Graph: Degree and Edge Distributions
Maxim Zhukovskiy, Dmitry Vinogradov, Yuri Pritykin +5
There has been a lot of research on random graph models for large real-world networks such as those formed by hyperlinks between web pages in the world wide web. Though largely suc…
Generalized preferential attachment: tunable power-law degree distribution and clustering coefficient
Liudmila Ostroumova, Alexander Ryabchenko, Egor Samosvat
We propose a wide class of preferential attachment models of random graphs, generalizing previous approaches. Graphs described by these models obey the power-law degree distributio…
Space-Bounded Kolmogorov Extractors
Daniil Musatov
An extractor is a function that receives some randomness and either "improves" it or produces "new" randomness. There are statistical and algorithmical specifications of this notio…