克莱因书嵌件

IF 0.9 Q2 MATHEMATICS
Luke Martin, Thomas McKenzie, Shannon Overbay, Lin Ai Tan
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引用次数: 0

摘要

图形的图书嵌入一直是广泛研究的主题。通过允许页面是圆柱体、环面和Möbius带而不是半平面,对此类嵌入的定义进行了一般化。在本文中,我们将书页视为克莱因瓶。我们给出了这些克莱因书的一个应用和可嵌入书中的图的边界。我们得到了一些图族的最优克莱因书嵌入。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Klein book embeddings

Book embeddings of graphs have been the subject of extensive study. The definitions of such embeddings have been generalized by allowing pages to be cylinders, tori, and Möbius bands rather than half-planes. In this paper, we consider book pages as Klein bottles. We give an application of these Klein books and edge bounds for graphs embeddable in the books. We conclude with optimal Klein book embeddings of some families of graphs.

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来源期刊
Afrika Matematika
Afrika Matematika MATHEMATICS-
CiteScore
2.00
自引率
9.10%
发文量
96
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