Density of Roots of the Yamada Polynomial of Spatial Graphs


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Abstract

We recall the construction and survey the properties of the Yamada polynomial of spatial graphs and present formulas for the Yamada polynomial of some classes of graphs. Then we construct an infinite family of spatial graphs for which the roots of the Yamada polynomials are dense in the complex plane.

About the authors

Miaowang Li

School of Mathematical Sciences

Author for correspondence.
Email: limiaowang@yeah.net
China, Dalian, 116024

Fengchun Lei

School of Mathematical Sciences

Author for correspondence.
Email: fclei@dlut.edu.cn
China, Dalian, 116024

Fengling Li

School of Mathematical Sciences

Author for correspondence.
Email: dutlfl@163.com
China, Dalian, 116024

Andrei Yu. Vesnin

Regional Scientific and Educational Mathematical Center

Author for correspondence.
Email: vesnin@math.nsc.ru
Russian Federation, pr. Lenina 36, Tomsk, 634050

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