The Yamada polynomial of lens spatial graphs

Nafaa Chbili

doi:10.1142/S1793557115500291

The Yamada polynomial of lens spatial graphs

Nafaa Chbili

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Let $\tilde G$ be a spatial graph in the 3-sphere which covers a graph in the lens space. We introduce a combinatorial representation of $\tilde G$ which reflects the symmetry of the spatial graph. This representation involves a ribbon n-graph and the generator of the center of the n-braid group. We apply this result to study the Yamada polynomial of a class of lens spatial graphs.

Original language	English
Article number	1550029
Journal	Asian-European Journal of Mathematics
Volume	8
Issue number	2
DOIs	https://doi.org/10.1142/S1793557115500291
Publication status	Published - Jun 1 2015

Keywords

Ribbon graphs
Yamada polynomial
lens spaces

ASJC Scopus subject areas

General Mathematics

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10.1142/S1793557115500291

Cite this

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title = "The Yamada polynomial of lens spatial graphs",

abstract = "Let \$\textbackslash{}tilde G\$ be a spatial graph in the 3-sphere which covers a graph in the lens space. We introduce a combinatorial representation of \$\textbackslash{}tilde G\$ which reflects the symmetry of the spatial graph. This representation involves a ribbon n-graph and the generator of the center of the n-braid group. We apply this result to study the Yamada polynomial of a class of lens spatial graphs.",

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The Yamada polynomial of lens spatial graphs

Abstract

Keywords

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