Embedding generalized Petersen graph in books

被引:0
|
作者
Bin Zhao
Wei Xiong
Yingzhi Tian
Jixiang Meng
机构
[1] Xinjiang University,College of Mathematics and System Science
关键词
Book embedding; Page number; Generalized Petersen graph; 05C10;
D O I
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中图分类号
学科分类号
摘要
A book embedding of a graph G consists of placing the vertices of G on a spine and assigning edges of the graph to pages so that edges in the same page do not cross each other. The page number is a measure of the quality of a book embedding which is the minimum number of pages in which the graph G can be embedded. In this paper, the authors discuss the embedding of the generalized Petersen graph and determine that the page number of the generalized Petersen graph is three in some situations, which is best possible.
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页码:385 / 394
页数:9
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