English

Circuits through prescribed edges

Combinatorics 2024-05-27 v1

Abstract

We prove that a connected graph contains a circuit---a closed walk that repeats no edges---through any kk prescribed edges if and only if it contains no odd cut of size at most kk.

Keywords

Cite

@article{arxiv.1810.09323,
  title  = {Circuits through prescribed edges},
  author = {Paul Knappe and Max Pitz},
  journal= {arXiv preprint arXiv:1810.09323},
  year   = {2024}
}

Comments

12 pages; 3 figures

R2 v1 2026-06-23T04:48:26.118Z