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Generating maximally disassortative graphs with given degree distribution

Pim van der Hoorn, University of Twente, Northeastern University
Liudmila Ostroumova, Moscow Institute of Physics and Technology and Yandex
Egor Samosvat, Moscow Institute of Physics and Technology and Yandex

We present an algorithm that solves the problem of generating graphs, with a given degree distribution, that are maximally disassortative (with respect to Spearman's rank correlation). As a result, we obtain a general lower bound for Spearman's rho on graphs, which depends on the distribution of the probability mass between the head and tail of the size-biased degree distribution.

AMS 2000 subject classifications: Primary 05C80, 62H20.

Keywords: Random graphs, degree distribution, degree-degree correlation, disassortativity.

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Hoorn, Pim Van Der, Ostroumova, Liudmila, Samosvat, Egor, Generating maximally disassortative graphs with given degree distribution, Stochastic Systems, 7, (2017), 1-44 (electronic). DOI: 10.1214/16-SSY231.


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