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A new proof of Delahan's induced-universality result

Discrete Mathematics 2026-03-10 v1 Combinatorics

Abstract

We give a short and self-contained proof of Delahan's theorem stating that every simple graph on nn vertices occurs as an induced subgraph of a Steinhaus graph on n(n1)2+1\frac{n(n-1)}{2}+1 vertices. This new proof is obtained by considering the notion of generating index sets for Steinhaus triangles.

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Cite

@article{arxiv.2603.08106,
  title  = {A new proof of Delahan's induced-universality result},
  author = {Jonathan Chappelon},
  journal= {arXiv preprint arXiv:2603.08106},
  year   = {2026}
}

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12 pages