English

A Generalization of Aztec Diamond Theorem, Part II

Combinatorics 2015-11-02 v6

Abstract

The author gave a proof of a generalization of the Aztec diamond theorem for a family of 44-vertex regions on the square lattice with southwest-to-northeast diagonals drawn in (Electron. J. Combin., 2014) by using a bijection between tilings and non-intersecting lattice paths. In this paper, we use Kuo graphical condensation to give a new proof.

Keywords

Cite

@article{arxiv.1310.1156,
  title  = {A Generalization of Aztec Diamond Theorem, Part II},
  author = {Tri Lai},
  journal= {arXiv preprint arXiv:1310.1156},
  year   = {2015}
}

Comments

11 pages and 7 figures

R2 v1 2026-06-22T01:40:06.470Z