On derivatives of graphon parameters
Combinatorics
2019-11-12 v3 Functional Analysis
Abstract
We give a short elementary proof of the main theorem in the paper "Differential calculus on graphon space" by Diao et al. (JCTA 2015), which says that any graphon parameters whose -th derivatives all vanish must be a linear combination of homomorphism densities over graphs on at most edges.
Cite
@article{arxiv.1505.07448,
title = {On derivatives of graphon parameters},
author = {László Miklós Lovász and Yufei Zhao},
journal= {arXiv preprint arXiv:1505.07448},
year = {2019}
}
Comments
4 pages