English

New relations for the vertex polynomial

Combinatorics 2026-07-29 v1 Geometric Topology

Abstract

We extend the vertex polynomial to graphs of arbitrary degree and prove local relations that hold when a graph contains a digon, triangle, quadrilateral or pentagon.

Cite

@article{arxiv.2607.27488,
  title  = {New relations for the vertex polynomial},
  author = {Scott Baldridge and Ben McCarty},
  journal= {arXiv preprint arXiv:2607.27488},
  year   = {2026}
}

Comments

4 pages