标题： 网络中相邻簇抑制的不连续渗透 显示英文标题

标题： Discontinuous percolation via suppression of neighboring clusters in a network

摘要： 我们最近对贝叶斯格子的研究报告指出，随着占据链接数量的增加，每个节点重新连接其链接以局部抑制相邻簇的增长，从而出现不连续的渗透转变。 然而，由于贝叶斯格子是一个树结构，宏观簇作为无限扩展树形成，但不包含节点的有限比例。 在本文中，我们研究了一个双部分网络，该网络可以被视为具有长程邻居的局部树状结构。 在这个网络中，两个分区中的一个分区中的每个节点被允许将其链接重新连接到另一个分区中的节点，以抑制相邻簇的增长。 我们观察到一种不连续的渗透转变，其特征是出现一个包含节点有限比例的单个宏观簇，随后簇大小分布表现出临界行为。 我们还提供了对潜在机制的分析解释。 显示英文摘要

摘要： Our recent study on the Bethe lattice reported that a discontinuous percolation transition emerges as the number of occupied links increases and each node rewires its links to locally suppress the growth of neighboring clusters. However, since the Bethe lattice is a tree, a macroscopic cluster forms as an infinite spanning tree but does not contain a finite fraction of the nodes. In this paper, we study a bipartite network that can be regarded as a locally tree-like structure with long-range neighbors. In this network, each node in one of the two partitions is allowed to rewire its links to nodes in the other partition to suppress the growth of neighboring clusters. We observe a discontinuous percolation transition characterized by the emergence of a single macroscopic cluster containing a finite fraction of nodes, followed by critical behavior of the cluster size distribution. We also provide an analytical explanation of the underlying mechanism.