English

Enumeration of Domino Tilings of an Aztec Rectangle with boundary defects

Combinatorics 2017-04-17 v1

Abstract

Helfgott and Gessel gave the number of domino tilings of an Aztec Rectangle with defects of size one on the boundary of one side. In this paper we extend this to the case of domino tilings of an Aztec Rectangle with defects on all boundary sides.

Keywords

Cite

@article{arxiv.1605.09169,
  title  = {Enumeration of Domino Tilings of an Aztec Rectangle with boundary defects},
  author = {Manjil P. Saikia},
  journal= {arXiv preprint arXiv:1605.09169},
  year   = {2017}
}

Comments

20 pages, 20 figures