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The splitting number of the complete graph in the projective plane

✍ Scribed by Nora Hartsfield

Publisher: Springer Japan
Year: 1987
Tongue: English
Weight: 404 KB
Volume: 3
Category: Article
ISSN: 0911-0119
DOI: 10.1007/bf01788557

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## Abstract In this paper, we show that the projective plane crossing number of the graphs __C__~3~ × __C__~__n__~ is __n__ ‐ 1 for __n__ ≤ 5 and 2 for __n__ = 4. As far as we can tell from the literature, this is the first infinite family of graphs whose crossing number is known on a single surfac