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Hamiltonian circles of the prism of infinite cubic graphs

作者:   时间:2019-04-23   点击数:

题目:Hamiltonian circles of the prism of infinite cubic graphs

 

主讲人:李斌龙

 

摘要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.

 

主讲人简介:李斌龙,西北工业大学理学院应用数学系  副教授

 

邀请人:王光辉  数学学院教授

 

时间:2019424日(周三)9:00

 

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