A sampling construction of graphon 1-norm convergence

23 Oct 2023  ·  Xingchao Jian, Feng Ji, Wee Peng Tay ·

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.

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