English

A four-vertex, quadratic, spanning forest polynomial identity

Combinatorics 2011-12-09 v2

Abstract

The classical Dodgson identity can be interpreted as a quadratic identity of spanning forest polynomials, where the spanning forests used in each polynomial are defined by how three marked vertices are divided among the component trees. We prove an analogous result with four marked vertices.

Keywords

Cite

@article{arxiv.1106.2869,
  title  = {A four-vertex, quadratic, spanning forest polynomial identity},
  author = {Aleksandar Vlasev and Karen Yeats},
  journal= {arXiv preprint arXiv:1106.2869},
  year   = {2011}
}

Comments

14 pages, rearranged to be clearer

R2 v1 2026-06-21T18:22:35.926Z