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The Uniqueness of Book Presentation of Complete Graph K2m 被引量:1

The Uniqueness of Book Presentation of Complete Graph K2m
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摘要 In the present paper we discuss some properties of book presentation of spatial graphs, and prove that the book presentation of minimum sheets of a complete graph K2m with even vertices is unique up to sheet translation and ambient isotopy. We also show this is true for K7. In the present paper we discuss some properties of book presentation of spatial graphs, and prove that the book presentation of minimum sheets of a complete graph K2m with even vertices is unique up to sheet translation and ambient isotopy. We also show this is true for K7.
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第3期407-414,共8页 数学研究与评论(英文版)
基金 Foundation item: the National Natural Science Foundation of China (No. 15071034) the Foundation of Dalian University of Technology (No. 893322).
关键词 spatial graph Hamilton path book presentation spatial graph Hamilton path book presentation
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参考文献4

  • 1KOBAYASHI K. Standard spatial graph [J]. Hokkaido Math. J., 1992, 21(1): 117-140.
  • 2KOBAYASHI K. Book presentation and local unknottedness of spatial graphs [J]. Kobe J. Math., 1993, 10(2): 161-171.
  • 3CONWAY J H, GORDON C M. Knots and links in spatialgraphs [J]. J. Graph Theory, 1983, 7(4): 445-453.
  • 4SHIMABARA M. Knots in certain spatial graphs [J]. Tokyo J. Math., 1988, 11(2): 405-413.

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