论文标题

在亚临界随机双曲线图的最大成分上

On the largest component of subcritical random hyperbolic graphs

论文作者

Mitsche, Dieter, Diel, Roland

论文摘要

我们考虑[KPK + 10]引入的随机双曲线图模型,然后由[GPP12]形式化。我们表明,在亚临界情况下$α$> 1,最大组件的大小为n^{1/(2 $α$)+o(1)},从而增强了[BFM15]的结果,[BFM15]仅给出了N^{1/$ a $α$+O(1)}的上限。

We consider the random hyperbolic graph model introduced by [KPK + 10] and then formalized by [GPP12]. We show that, in the subcritical case $α$ > 1, the size of the largest component is n^{1/(2$α$)+o(1)} , thus strengthening a result of [BFM15] which gave only an upper bound of n^{1/$α$+o(1)}.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源