English

Series-parallel graphs and hypercube degeneracy

Combinatorics 2025-03-21 v1

Abstract

Several recent works have identified patterns that must exist in dense subsets of either the vertices or the edges of a large hypercube. We introduce a framework, based on the concept of series-parallel graphs, that unifies and generalizes these results.

Keywords

Cite

@article{arxiv.2503.16404,
  title  = {Series-parallel graphs and hypercube degeneracy},
  author = {Daniel G. Zhu},
  journal= {arXiv preprint arXiv:2503.16404},
  year   = {2025}
}

Comments

17 pages, 3 figures, 1 table

R2 v1 2026-06-28T22:28:37.111Z