The Spectral Distribution of Random Mixed Graphs

The Spectral Distribution of Random Mixed Graphs
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DOI:
10.3390/axioms11030126
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发表时间:
2022
期刊:
AXIOMS
影响因子:
--
通讯作者:
Li Zeng
Li Zeng
中科院分区:
--
文献类型:
--
作者:
Yue Guan;Bo Cheng;Minfeng Chen;Meili Liang;Jianxi Liu;Jinxun Wang;Chao Yang;Li Zeng

文献摘要

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In this work, we propose a random mixed graph model Gn(p(n), q(n)) that incorporates.both the classical Erd˝os-Rényi’s random graph model and the random oriented graph model. We.show that the empirical spectral distribution of Gn(p(n), q(n)) converges to the standard semicircle.law under some mild condition, and the Monte Carlo simulation highly agrees with our result.