环面上双半等幅映射的Hamilton性
Hamiltonicity of doubly semi-equivelar maps on the torus
摘要：
著名的20种2-一致的平面镶嵌在环面上产生了无穷多个双半等值线映射。本文证明了环面上的每一个这样的双半等维映射都包含一个哈密顿圈。作为结果，我们建立了纳什-威廉姆斯猜想的图与这些双半等值线映射，这些图是3-连通或4-连通。
英文摘要：
The well-known twenty types of 2-uniform tilings of the plane give rise infinitely many doubly semi-equivelar maps on the torus. In this article, we show that every such doubly semi-equivelar map on the torus contains a Hamiltonian cycle. As a consequence, we establish the Nash-Williams conjecture for the graphs associated with these doubly semi-equivelar maps by showing that these graphs are either 3-connected or 4-connected.
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。
