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 translati...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.展开更多
基金Foundation item: the National Natural Science Foundation of China (No. 15071034) the Foundation of Dalian University of Technology (No. 893322).
文摘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.