English

A 2-isomorphism theorem for delta-matroids

Combinatorics 2019-10-11 v1

Abstract

Whitney's 2-Isomorphism Theorem characterises when two graphs have isomorphic cycle matroids. We present an analogue of this theorem for graphs embedded in surfaces by characterising when two graphs in surface have isomorphic delta-matroids.

Keywords

Cite

@article{arxiv.1910.04321,
  title  = {A 2-isomorphism theorem for delta-matroids},
  author = {Iain Moffatt and Jaeseong Oh},
  journal= {arXiv preprint arXiv:1910.04321},
  year   = {2019}
}

Comments

13 pages, 7 figures

R2 v1 2026-06-23T11:39:19.222Z