嵌入分布的极限
Limits for embedding distributions
摘要：
本文发现并证明了在一定条件下，含蜘蛛的$H$ -线性图族的嵌入分布是渐近正态分布。它可以看作是拓扑图论中中心极限定理的一个版本。我们还证明了Euler-genus分布的极限与crosscap-number分布的极限是相同的。此外，我们证明了仙人掌和项链的欧拉属分布（或横截面数分布）是渐近正态分布。最后给出了一些具体的例子。
英文摘要：
In this paper, we find and prove that, under some conditions, the embedding distributions of $H$-linear graph families with spiders are asymptotic normal distributions. It can been seen a version of central limit theorem in topological graph theory. We also prove that the limits of Euler-genus distributions is the same as limits of crosscap-number distributions. In addition, we show that the Euler-genus distributions (or crosscap-number distributions) of the cacti and necklaces are asymptotically normal distributions. In the end, some concrete examples are indicated.
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