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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 305, Pages 148–161
DOI: https://doi.org/10.4213/tm4015 (Mi tm4015) 		 
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
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DOI: https://doi.org/10.4213/tm4015
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.
Funding agency Grant number
National Natural Science Foundation of China 11431009
11671064
11471151
Ministry of Science and Higher Education of the Russian Federation 1.13557.2019/13.1
The work was supported in part by the National Natural Science Foundation of China (project nos. 11431009 (F. Lei) and 11671064, 11471151 (F. Li)). The research of A. Yu. Vesnin was performed within the framework of the state assignment of the Ministry of Education and Science of Russia (project no. 1.13557.2019/13.1).
Received: September 3, 2018
Revised: January 26, 2019
Accepted: March 18, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 305, Pages 135–148
DOI: https://doi.org/10.1134/S0081543819030076
Bibliographic databases:
Document Type: Article
UDC: 515.162
MSC: Primary 57M15; Secondary 05C31
Language: Russian
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
Citation in format AMSBIB
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\paper Density of Roots of the Yamada Polynomial of Spatial Graphs
\inbook Algebraic topology, combinatorics, and mathematical physics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday
\serial Trudy Mat. Inst. Steklova
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\vol 305
\pages 148--161
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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