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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.