English

Matchings in Random Biregular Bipartite Graphs

Combinatorics 2013-09-10 v2

Abstract

We study the existence of perfect matchings in suitably chosen induced subgraphs of random biregular bipartite graphs. We prove a result similar to a classical theorem of Erdos and Renyi about perfect matchings in random bipartite graphs. We also present an application to commutative graphs, a class of graphs that are featured in additive number theory.

Keywords

Cite

@article{arxiv.1205.4130,
  title  = {Matchings in Random Biregular Bipartite Graphs},
  author = {Guillem Perarnau and Giorgis Petridis},
  journal= {arXiv preprint arXiv:1205.4130},
  year   = {2013}
}

Comments

30 pages and 3 figures - Latest version has updated introduction and bibliography

R2 v1 2026-06-21T21:06:09.771Z