雷逢春

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教授

博士生导师

硕士生导师

性别:男

毕业院校:吉林大学

学位:博士

所在单位:数学科学学院

电子邮箱:fclei@dlut.edu.cn

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The Yamada polynomial of spatial graphs obtained by edge replacements

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论文类型:期刊论文

发表时间:2018-08-01

发表刊物:JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

收录刊物:SCIE

卷号:27

期号:9,SI

ISSN号:0218-2165

关键字:Yamada polynomial; spatial graph; chain polynomial

摘要:We present formulae for computing the Yamada polynomial of spatial graphs obtained by replacing edges of plane graphs, such as cycle-graphs, theta-graphs, and bouquet-graphs, by spatial parts. As a corollary, it is shown that zeros of Yamada polynomials of some series of spatial graphs are dense in a certain region in the complex plane, described by a system of inequalities. Also, the relation between Yamada polynomial of graphs and the chain polynomial of edge-labeled graphs is obtained.