English

Larger matchings and independent sets in regular uniform hypergraphs of high girth

Combinatorics 2023-07-31 v1

Abstract

In this note we analyze two algorithms, one for producing a matching and one for an independent set, on kk-uniform dd-regular hypergraphs of large girth. As a result we obtain new lower bounds on the size of a maximum matching or independent set in such hypergraphs.

Keywords

Cite

@article{arxiv.2307.15601,
  title  = {Larger matchings and independent sets in regular uniform hypergraphs of high girth},
  author = {Deepak Bal and Patrick Bennett},
  journal= {arXiv preprint arXiv:2307.15601},
  year   = {2023}
}