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The Yamada polynomial of spatial graphs obtained by edge replacements Научная публикация

Журнал

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

Вых. Данные

Год: 2018, Том: 27, Номер: 9, Номер статьи : 1842004, Страниц : DOI: 10.1142/S021821651842004X

Ключевые слова

chain polynomial; spatial graph; Yamada polynomial

Авторы

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

Организации

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

БД	Цитирований
Scopus	3
OpenAlex	10
Web of science	3