English

Negami's like splitting formula for the Jones polynomial

Combinatorics 2019-09-09 v1

Abstract

Negami's splitting formula cannot be directly applied to get a Jones polynomial splitting formula for the contraction of certain planar graphs in the decomposition become non planar. Therefore, we build a Negami's like splitting formula from the scratch. Now, the new splitting matrix doesn't have the form of a Lindstr\"om matrix and it would be interesting to have similar results for it.

Cite

@article{arxiv.1909.02864,
  title  = {Negami's like splitting formula for the Jones polynomial},
  author = {Juan M. Burgos},
  journal= {arXiv preprint arXiv:1909.02864},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1711.01550

R2 v1 2026-06-23T11:07:41.848Z