On derivatives of graphon parameters
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 $(N+1)$th derivatives all vanish must be a linear combination of homomorphism densities $t(H, )$ over graphs $H$ on at most $N$ edges.
 Publication:

arXiv eprints
 Pub Date:
 May 2015
 arXiv:
 arXiv:1505.07448
 Bibcode:
 2015arXiv150507448M
 Keywords:

 Mathematics  Combinatorics;
 Mathematics  Functional Analysis
 EPrint:
 4 pages