Abrupt structural transitions involving functionally optimal networks

Interplay between function and structure in complex networks

We show that abrupt structural transitions can arise in functionally optimal networks, driven by small changes in the level of transport congestion. Our results offer an explanation as to why so many diverse species of network structure arise in Nature (e.g. fungal systems) under essentially the same environmental conditions. Our findings are based on an exactly solvable model system which mimics a variety of biological and social networks. We then extend our analysis by introducing a novel renormalization scheme involving cost motifs, to describe analytically the average shortest path across …

过载网络中级联故障的临界行为

Critical behavior of cascading failures in overloaded networks

针对过载网络级联故障相变的临界指数与普适类尚不明确的问题，研究含空间特征链路长度网络的链路失效过载击穿，发现其突变特征与互依网络相似，弱嵌入系统呈混合阶相变、强嵌入系统呈纯一阶相变。

通过边集体行为揭示网络的爆炸性脆弱性

Unveiling Explosive Vulnerability of Networks through Edge Collective Behavior

该研究提出基于线图最优渗流理论的边集体影响方法及两种改进版，可低成本识别触发网络爆炸性脆弱性的关键边，还构建双竞争渗流模型揭示其优化机制，深化了渗流理论认知。