English

3-Symmetric Graphs

Combinatorics 2020-03-10 v1

Abstract

An intuitive property of a random graph is that its subgraphs should also appear randomly distributed. We consider graphs whose subgraph densities exactly match their expected values. We call graphs with this property for all subgraphs with kk vertices to be kk-symmetric. We discuss some properties and examples of such graphs. We construct 3-symmetric graphs and provide some statistics.

Keywords

Cite

@article{arxiv.2003.03870,
  title  = {3-Symmetric Graphs},
  author = {Sebastian Jeon and Tanya Khovanova},
  journal= {arXiv preprint arXiv:2003.03870},
  year   = {2020}
}

Comments

17 pages, 5 figures

R2 v1 2026-06-23T14:08:08.387Z