| The Uniqueness of Book Presentation of Complete Graph $K_{2m}$ |
| Received:May 10, 2007 Revised:January 02, 2008 |
| Key Words:
spatial graph Hamilton path book presentation.
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| Fund Project:the National Natural Science Foundation of China (No.15071034); the Foundation of Dalian University of Technology (No.893322). |
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| Abstract: |
| 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 $K_{2m}$ with even vertices is unique up to sheet translation and ambient isotopy. We also show this is true for $K_7$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.03.004 |
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