Work

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

Year: 2025

Type: article

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

Source: Proceedings of the Edinburgh Mathematical Society

DOI: 10.1017/s0013091525101016

Authors: Stephen Huggett, Iain Moffatt

Institutions: University of Plymouth, University of London

Language: English

Topic: Advanced Graph Theory Research

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funder: Engineering and Physical Sciences Research Council