English

Edge-connectivity and tree-structure in finite and infinite graphs

Combinatorics 2021-05-03 v2 Discrete Mathematics

Abstract

We show that every graph admits a canonical tree-like decomposition into its kk-edge-connected pieces for all kN{}k\in\mathbb{N}\cup\{\infty\} simultaneously.

Keywords

Cite

@article{arxiv.2012.07651,
  title  = {Edge-connectivity and tree-structure in finite and infinite graphs},
  author = {Christian Elbracht and Jan Kurkofka and Maximilian Teegen},
  journal= {arXiv preprint arXiv:2012.07651},
  year   = {2021}
}

Comments

12 pages, 2 figures

R2 v1 2026-06-23T20:57:27.083Z