English

Polcovar: Software for Computing the Mean and Variance of Subgraph Counts in Random Graphs

Mathematical Software 2016-05-06 v2

Abstract

The mean and variance of the number of appearances of a given subgraph HH in an Erd\H{o}s--R\'enyi random graph over nn nodes are rational polynomials in nn. We present a piece of software named Polcovar (from "polynomial" and "covariance") that computes the exact rational coefficients of these polynomials in function of HH.

Cite

@article{arxiv.1402.5835,
  title  = {Polcovar: Software for Computing the Mean and Variance of Subgraph Counts in Random Graphs},
  author = {Jérôme Kunegis},
  journal= {arXiv preprint arXiv:1402.5835},
  year   = {2016}
}

Comments

5 pages; fixed some wording; added link to Github

R2 v1 2026-06-22T03:14:27.897Z