随机图随机自同构的结构
逻辑
2018-08-21 v1
摘要
我们给出了随机图自同构群关于 Christensen 的 Haar 零理想的共轭类大小的完整描述。结果表明,每个非 Haar 零类都包含每个紧集的非空部分的平移副本,并且存在连续统多个非 Haar 零共轭类。我们的方法也给出了 Truss 一个旧结果的新证明。
引用
@article{arxiv.1808.06121,
title = {The structure of random automorphisms of the random graph},
author = {Udayan B. Darji and Márton Elekes and Kende Kalina and Viktor Kiss and Zoltán Vidnyánszky},
journal= {arXiv preprint arXiv:1808.06121},
year = {2018}
}
备注
Most of this work previously appeared in the first version of the paper arXiv:1705.07593 which was split into 3 articles