Density of Roots of the Yamada Polynomial of Spatial Graphs
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic topology, combinatorics, and mathematical physics, Tome 305 (2019), pp. 148-161
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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.
Mots-clés :
Yamada polynomial, spatial graph, chain polynomial.
@article{TM_2019_305_a6,
author = {Miaowang Li and Fengchun Lei and Fengling Li and Andrei Yu. Vesnin},
title = {Density of {Roots} of the {Yamada} {Polynomial} of {Spatial} {Graphs}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {148--161},
publisher = {mathdoc},
volume = {305},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2019_305_a6/}
}
TY - JOUR AU - Miaowang Li AU - Fengchun Lei AU - Fengling Li AU - Andrei Yu. Vesnin TI - Density of Roots of the Yamada Polynomial of Spatial Graphs JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2019 SP - 148 EP - 161 VL - 305 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2019_305_a6/ LA - ru ID - TM_2019_305_a6 ER -
%0 Journal Article %A Miaowang Li %A Fengchun Lei %A Fengling Li %A Andrei Yu. Vesnin %T Density of Roots of the Yamada Polynomial of Spatial Graphs %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2019 %P 148-161 %V 305 %I mathdoc %U http://geodesic.mathdoc.fr/item/TM_2019_305_a6/ %G ru %F TM_2019_305_a6
Miaowang Li; Fengchun Lei; Fengling Li; Andrei Yu. Vesnin. Density of Roots of the Yamada Polynomial of Spatial Graphs. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic topology, combinatorics, and mathematical physics, Tome 305 (2019), pp. 148-161. http://geodesic.mathdoc.fr/item/TM_2019_305_a6/