This article is cited in 1 paper

Density of Roots of the Yamada Polynomial of Spatial Graphs

Miaowang Li^a, Fengchun Lei^a, Fengling Li^a, Andrei Yu. Vesnin<sup>b

a</sup> 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.

UDC: 515.162

MSC: Primary 57M15; Secondary 05C31

Received: September 3, 2018
Revised: January 26, 2019
Accepted: March 18, 2019

DOI: 10.4213/tm4015

 English version: Proceedings of the Steklov Institute of Mathematics, 2019, 305, 135–148

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