Eigenvalue Distribution of a Large Weighted Bipartite Random Graph

We study an eigenvalue distribution of the adjacency matrix A^(N,p,a) of the weighted random bipartite graph Г = ГN,p. We assume that the graph has N vertices, the ratio of parts is α(1-α), and the average number of the edges attached to one vertex is ap or (1-a)p. To every edge of the graph eij, w...

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Published in:Журнал математической физики, анализа, геометрии
Date:2014
Main Author: Vengerovsky, V.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2014
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/106794
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Eigenvalue Distribution of a Large Weighted Bipartite Random Graph / V. Vengerovsky // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 2. — С. 240-255. — Бібліогр.: 19 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine