k-核渗流三元混合物的奇异性
Singularities in ternary mixtures of k-core percolation
摘要：
非均匀k-核渗流是渗流模型的一个推广，它在研究随机损伤下网络的恢复力方面有着有趣的应用。在这个模型中，节点鲁棒性的概念是局部的，而不是像均匀k-核渗流那样的全局。k-核逾渗模型的优点之一是为一大类网络拓扑结构提供了有效的分析数学框架。本文研究了随机网络中节点类型的三元混合，并证明了一种新的临界现象的存在。这种情况下，可能有有用的应用在大规模的基础设施的稳定性和玻璃形成系统的描述。
英文摘要：
Heterogeneous k-core percolation is an extension of a percolation model which has interesting applications to the resilience of networks under random damage. In this model, the notion of node robustness is local, instead of global as in uniform k-core percolation. One of the advantages of k-core percolation models is the validity of an analytical mathematical framework for a large class of network topologies. We study ternary mixtures of node types in random networks and show the presence of a new type of critical phenomenon. This scenario may have useful applications in the stability of large scale infrastructures and the description of glass-forming systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
