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 Bollobás and Riordan’s ribbon graph polynomial, and for the transition polynomial. From this we deduce a splitting formula for the Jones polynomial.
Authors
- Iain Moffatt (ORCID: https://orcid.org/0000-0001-8174-6936)
- Stephen Huggett (ORCID: https://orcid.org/0000-0002-5329-3404)
Institutions
- Universidad de Londres (MX)
- University of Plymouth (GB)
Publication Details
- Journal
- Proceedings of the Edinburgh Mathematical Society
- Published
- 2025-09-12
- DOI
- https://doi.org/10.1017/s0013091525101016
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council