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Density of Roots of the Yamada Polynomial of Spatial Graphs
Miaowang Lia, Fengchun Leia, Fengling Lia, Andrei Yu. Vesninb a School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P.R. China
b Regional Scientific and Educational Mathematical Center, Tomsk State University, pr. Lenina 36, Tomsk, 634050 Russia
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.
Keywords:
Yamada polynomial, spatial graph, chain polynomial.
Received: September 3, 2018 Revised: January 26, 2019 Accepted: March 18, 2019
Citation:
Miaowang Li, Fengchun Lei, Fengling Li, Andrei Yu. Vesnin, “Density of Roots of the Yamada Polynomial of Spatial Graphs”, Algebraic topology, combinatorics, and mathematical physics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 305, Steklov Math. Inst. RAS, Moscow, 2019, 148–161; Proc. Steklov Inst. Math., 305 (2019), 135–148
Linking options:
https://www.mathnet.ru/eng/tm4015https://doi.org/10.4213/tm4015 https://www.mathnet.ru/eng/tm/v305/p148
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Abstract page: | 252 | Full-text PDF : | 31 | References: | 30 | First page: | 15 |
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