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摘要翻译：
我们分析地表明，在功能最优的网络中，由运输拥挤水平的微小变化所驱动的结构突变可能出现。我们的发现是基于一个精确可解的模型系统，它模拟了各种生物和社会网络。我们的结果解释了为什么自然界（例如真菌）在本质上相同的环境条件下会出现如此多样的网络结构。作为这项工作的一个副产品，我们提出了一个新的包含代价模的重整化方案，它解析地描述了多环多中心网络的平均最短路径。
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英文标题：
《Abrupt structural transitions involving functionally optimal networks》
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作者：
Timothy C. Jarrett, Douglas J. Ashton, Mark Fricker and Neil F.
Johnson
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最新提交年份：
2005
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分类信息：
一级分类：Physics 物理学
二级分类：Physics and Society 物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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一级分类：Physics 物理学
二级分类：Other Condensed Matter 其他凝聚态物质
分类描述：Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类：Physics 物理学
二级分类：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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一级分类：Quantitative Biology 数量生物学
二级分类：Other Quantitative Biology 其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
We show analytically that abrupt structural transitions can arise in functionally optimal networks, driven by small changes in the level of transport congestion. Our findings are based on an exactly solvable model system which mimics a variety of biological and social networks. Our results offer an explanation as to why such diverse sets of network structures arise in Nature (e.g. fungi) under essentially the same environmental conditions. As a by-product of this work, we introduce a novel renormalization scheme involving `cost motifs' which describes analytically the average shortest path across multiple-ring-and-hub networks.
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PDF链接：
https://arxiv.org/pdf/physics/0508228
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