A Negami-type splitting formula for the Jones and ribbon graph polynomials

Stephen Huggett; Iain Moffatt

doi:10.1017/S0013091525101016

A Negami-type splitting formula for the Jones and ribbon graph polynomials

Stephen Huggett
, Iain Moffatt

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

Abstract

Negami found an elegant splitting formula for the Tutte polynomial. We present an analogue of this for Bollobas and Riordan's ribbon graph polynomial, and for the transition polynomial. From this we deduce a splitting formula for the Jones polynomial.

Original language	English
Pages (from-to)	1-20
Number of pages	20
Journal	Proceedings of the Edinburgh Mathematical Society (Series 2)
Early online date	12 Sept 2025
DOIs	https://doi.org/10.1017/S0013091525101016
Publication status	E-pub ahead of print - 12 Sept 2025

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10.1017/S0013091525101016Licence: CC BY

Cite this

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title = "A Negami-type splitting formula for the Jones and ribbon graph polynomials",

abstract = "Negami found an elegant splitting formula for the Tutte polynomial. We present an analogue of this for Bollobas and Riordan's ribbon graph polynomial, and for the transition polynomial. From this we deduce a splitting formula for the Jones polynomial.",

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AU - Moffatt, Iain

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N2 - Negami found an elegant splitting formula for the Tutte polynomial. We present an analogue of this for Bollobas and Riordan's ribbon graph polynomial, and for the transition polynomial. From this we deduce a splitting formula for the Jones polynomial.

AB - Negami found an elegant splitting formula for the Tutte polynomial. We present an analogue of this for Bollobas and Riordan's ribbon graph polynomial, and for the transition polynomial. From this we deduce a splitting formula for the Jones polynomial.

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JO - Proceedings of the Edinburgh Mathematical Society (Series 2)

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