多色随机图的构造与对称性
Multicoloured Random Graphs: Constructions and Symmetry
摘要：
这是一本关于可数齐次图的构造和群作用的研究专著，特别关注简单随机图及其边着色变体。我们研究的各个方面的图形，但重点是了解这些群体的支持，这些图形与其他结构，如格，拓扑和过滤器，环和代数，度量空间，集和模型，Moufang循环和monoid的链接。大量的背景材料包括作为一个介绍的理论是用来产生新的结果。大量的参考文献应该有助于使这成为任何有兴趣开始在这个或相关领域研究的人的资源。
英文摘要：
This is a research monograph on constructions of and group actions on countable homogeneous graphs, concentrating particularly on the simple random graph and its edge-coloured variants. We study various aspects of the graphs, but the emphasis is on understanding those groups that are supported by these graphs together with links with other structures such as lattices, topologies and filters, rings and algebras, metric spaces, sets and models, Moufang loops and monoids. The large amount of background material included serves as an introduction to the theories that are used to produce the new results. The large number of references should help in making this a resource for anyone interested in beginning research in this or allied fields.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
