A Torres-type formula for the Alexander polynomial of spatial graphs

This paper introduces the ordered linking divisor, which is a generalization of the linking number of a link to two-component spatial graphs, and states its geometric meaning. We generalize the Torres-type formula for the Alexander polynomial to [Formula: see text]-component spatial graphs using the proposed ordered linking divisor.

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-03-27
DOI
https://doi.org/10.1142/s0218216525500269
Primary Topic
Advanced Combinatorial Mathematics
Type
article
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article

A Torres-type formula for the Alexander polynomial of spatial graphs

Shin’ya Okazaki
Journal of Knot Theory and Its Ramifications
Advanced Combinatorial Mathematics
article

A Torres-type formula for the Alexander polynomial of spatial graphs

Shin’ya Okazaki
article en

Abstract

This paper introduces the ordered linking divisor, which is a generalization of the linking number of a link to two-component spatial graphs, and states its geometric meaning. We generalize the Torres-type formula for the Alexander polynomial to [Formula: see text]-component spatial graphs using the proposed ordered linking divisor.

Journal of Knot Theory and Its RamificationsVol. 34(07)
Nara University of Education (JP)
Sustainable cities and communities
Openalex Percentile: Top 90%
Advanced Combinatorial Mathematics
DOISourceOpenAlex
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A Torres-type formula for the Alexander polynomial of spatial graphs — Shin’ya Okazaki · Journal of Knot Theory and Its Ramifications (2025) | TGRS Research Map | TGRS