English

The number of possibilities for random dating

Combinatorics 2025-06-26 v1

Abstract

Let GG be a regular graph and HH a subgraph on the same vertex set. We give surprisingly compact formulas for the number of copies of HH one expects to find in a random subgraph of GG.

Keywords

Cite

@article{arxiv.2506.20072,
  title  = {The number of possibilities for random dating},
  author = {Aaron Abrams and Rod Canfield and Andrew Granville},
  journal= {arXiv preprint arXiv:2506.20072},
  year   = {2025}
}

Comments

This is the fifth of eleven old articles being uploaded to arxiv after publication