We have performed the comparative spectral analysis of structural connectomes for various organisms using open-access data. Our results indicate new peculiar features of connectomes of higher organisms. We found that the spectral density of adjacency matrices of human connectome has maximal deviation from the one of randomized network, compared to other organisms. Considering the network evolution induced by the preference of 3-cycles formation, we discovered that for macaque and human connectomes the evolution with the conservation of local clusterization is crucial, while for primitive organisms the conservation of averaged clusterization is sufficient. Investigating for the first time the level spacing distribution of the spectrum of human connectome Laplacian matrix, we explicitly demonstrate that the spectral statistics corresponds to the critical regime, which is hybrid of Wigner-Dyson and Poisson distributions. This observation provides strong support for debated statement of the brain criticality.

中文翻译：

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人形连接图谱的独特性和关键性。

我们已经使用开放获取数据对各种生物的结构连接体进行了比较光谱分析。我们的结果表明高等生物的连接体的新奇特征。我们发现，与其他生物体相比，人类连接体邻接矩阵的光谱密度与随机网络之一具有最大的偏差。考虑到由3个周期形成的偏好引起的网络进化，我们发现对于猕猴和人类连接体而言，保留局部聚类的进化至关重要，而对于原始生物而言，平均聚类的保守性就足够了。首次研究了人类连接组拉普拉斯矩阵的频谱的水平间距分布，我们明确证明光谱统计对应于临界状态，该临界状态是Wigner-Dyson和Poisson分布的混合。该观察结果为辩论中的大脑关键性陈述提供了有力的支持。