English

A sampling construction of graphon 1-norm convergence

Signal Processing 2024-04-02 v2

Abstract

In the short note, we describe a sampling construction that yields a sequence of graphons converging to a prescribed limit graphon in 1-norm. This convergence is stronger than the convergence in the cut norm, usually used to study graphon sequences. The note also contains errata of the previous version of the note.

Cite

@article{arxiv.2310.14683,
  title  = {A sampling construction of graphon 1-norm convergence},
  author = {Xingchao Jian and Feng Ji and Wee Peng Tay},
  journal= {arXiv preprint arXiv:2310.14683},
  year   = {2024}
}
R2 v1 2026-06-28T12:58:35.926Z