Phase transitions in the edge/concurrent vertex model
Phase transitions in the edge/concurrent vertex model
复制标题
边/并发顶点模型中的相变
DOI：
10.1080/0022250x.2020.1746298
复制
发表时间：
2020-04-11
影响因子：
1
通讯作者：
Butts, Carter T.
中科院分区：
文献类型：
--
作者：
Butts, Carter T.
虽然众所周知，一些指数族随机图模型（ERGM）家族表现出相变（其中小的参数变化导致图结构的定性变化），但对其他模型的行为仍然知之甚少。最近，Krivitsky和Morris报道了一个以前未观察到的边/并发顶点家族（性接触网络模型的一个简单起点）的相变。在这里，我们研究这个相变，显示它是一个一阶过渡相对于一个序参数与并发顶点的分数。这种转变源于弱协同性招募顶点的并发阶段，这可能不是一个理想的属性在某些应用程序中。
Although it is well known that some exponential family random graph model (ERGM) families exhibit phase transitions (in which small parameter changes lead to qualitative changes in graph structure), the behavior of other models is still poorly understood. Recently, Krivitsky and Morris have reported a previously unobserved phase transition in the edge/concurrent vertex family (a simple starting point for models of sexual contact networks). Here, we examine this phase transition, showing it to be a first-order transition with respect to an order parameter associated with the fraction of concurrent vertices. This transition stems from weak cooperativity in the recruitment of vertices to the concurrent phase, which may not be a desirable property in some applications.