English

An Algorithm for Bounding the Probability of r-core Formation in k-uniform Random Hypergraphs

Data Structures and Algorithms 2019-01-16 v1

Abstract

We present an algorithm for bounding the probability of r-core formation in k-uniform hypergraphs. Understanding the probability of core formation is useful in numerous applications including bounds on the failure rate of Invertible Bloom Lookup Tables (IBLTs) and the probability that a boolean formula is satisfiable.

Keywords

Cite

@article{arxiv.1901.04934,
  title  = {An Algorithm for Bounding the Probability of r-core Formation in k-uniform Random Hypergraphs},
  author = {George Bissias},
  journal= {arXiv preprint arXiv:1901.04934},
  year   = {2019}
}
R2 v1 2026-06-23T07:12:35.523Z