Limits for embedding distributions
Combinatorics
2020-04-23 v2
Abstract
In this paper, we find and prove that, under some conditions, the embedding distributions of -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.
Keywords
Cite
@article{arxiv.1908.11539,
title = {Limits for embedding distributions},
author = {Jinlian Zhang and Xuhui Peng and Yichao Chen},
journal= {arXiv preprint arXiv:1908.11539},
year = {2020}
}