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Klein book embeddings

Research Output: Contribution to journal Article Peer-review

Abstract

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.