English

Domino Tile Placing on Graphs

Probability 2018-08-21 v1

Abstract

Given a graph GG we consider sequentially placing dimers on it, namely choosing a maximal independent subset of edges, i.e. edges that do not share common vertices. We study the number of vertices that do not belong to any edge found in the maximal set. We prove a CLT result for this model in the case when the underlying graph is Zd\mathbb{Z}^d.

Keywords

Cite

@article{arxiv.1808.06163,
  title  = {Domino Tile Placing on Graphs},
  author = {Jacob J. Kagan},
  journal= {arXiv preprint arXiv:1808.06163},
  year   = {2018}
}

Comments

15 pages, 1 figure

R2 v1 2026-06-23T03:37:37.953Z