Hamiltonian circles of the prism of infinite cubic graphs

发布时间：2019-03-25 作者：浏览次数：

Speaker:	李斌龙	DateTime:	2019年3月27日（周三）上午10：00--11：00
Brief Introduction to Speaker: 李斌龙，西北工业大学理学院副教授。		Place:	六号楼二楼报告厅
Abstract:A circle of a infinite locally finite graph $G$ is a homeomorphic mapping of the unit circle $S^1$ in $\|G\|$, the Freudenthal compactification of $G$. A circle of $G$ is Hamiltonian if it meets every vertex (and then every end) of $G$. Paulraja proved that for every 3-connected cubic finite graph $G$, the prism of $G$ (the Cartesian product of $G$ and $K_2$) is Hamiltonian. We extended the result to infinite graphs, showing that if $G$ is an infinite locally finite graph, then its prism has a Hamiltonian circle.