English

On the limit of large girth graph sequences

Combinatorics 2008-11-10 v1

Abstract

We prove that any involution-invariant probability measure on the space of trees with maximum degrees at most d arises as the local limit of a convergent large girth graph sequence. This answers a question of Bollobas and Riordan.

Keywords

Cite

@article{arxiv.0811.1149,
  title  = {On the limit of large girth graph sequences},
  author = {Gabor Elek},
  journal= {arXiv preprint arXiv:0811.1149},
  year   = {2008}
}
R2 v1 2026-06-21T11:39:16.615Z