无限图的非标准分析方法

Nonstandard Analysis Methods for Infinite Graphs

本文使用非标准分析方法,把Konig,Rao,εuler和Nash-williams关于无限图的结果给予推广并对证明进行了极大的简化。对Hamilton性作了新的探索。

This paper enlarged some results on infinite graphs of the authors Konig, Rao, Euler, and Nash-Williams, and greatly reduced their proofs by Nonstandard Analysis. We also made a new Characterization of Hamiltonian property no matter what the vertex set V may be.