The Yamada polynomial of spatial graphs obtained by edge replacements

The Yamada polynomial of spatial graphs obtained by edge replacements Full article

Journal

Journal of Knot Theory and its Ramifications
ISSN: 0218-2165

Output data

Year: 2018, Volume: 27, Number: 9, Article number : 1842004, Pages count : DOI: 10.1142/S021821651842004X

Tags

chain polynomial; spatial graph; Yamada polynomial

Authors

Li M. ¹ , Lei F. ¹ , Li F. ¹ , Vesnin A. ^2,3

Affiliations

1	School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China
2	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
3	Tomsk State University, Tomsk, 634050, Russian Federation

We present formulae for computing the Yamada polynomial of spatial graphs obtained by replacing edges of plane graphs, such as cycle-graphs, theta-graphs, and bouquet-graphs, by spatial parts. As a corollary, it is shown that zeros of Yamada polynomials of some series of spatial graphs are dense in a certain region in the complex plane, described by a system of inequalities. Also, the relation between Yamada polynomial of graphs and the chain polynomial of edge-labeled graphs is obtained. © 2018 World Scientific Publishing Company.

Li M. , Lei F. , Li F. , Vesnin A.
The Yamada polynomial of spatial graphs obtained by edge replacements
Journal of Knot Theory and its Ramifications. 2018. V.27. N9. 1842004 . DOI: 10.1142/S021821651842004X WOS Scopus OpenAlex

Web of science:	WOS:000443059400004
Scopus:	2-s2.0-85052644387
OpenAlex:	W2963626048

DB	Citing
Scopus	3
OpenAlex	10
Web of science	3