On the graph limit question of Vera T. S\'os
Combinatorics
2015-08-21 v2
Abstract
In the dense graph limit theory, the topology of the set of graphs is defined by the distribution of the subgraphs spanned by finite number of random vertices. Vera T. S\'os proposed a question that if we consider only the number of edges in the spanned subgraphs, then whether it provides an equivalent definition. We show that the answer is positive on quasirandom graphs, and we prove a generalization of the statement.
Keywords
Cite
@article{arxiv.1504.02755,
title = {On the graph limit question of Vera T. S\'os},
author = {Endre Csóka},
journal= {arXiv preprint arXiv:1504.02755},
year = {2015}
}
Comments
4 pages