A Generalization of Aztec Diamond Theorem, Part II

Abstract

The author gave a proof of a generalization of the Aztec diamond theorem for a family of $4$-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.

11 pages and 7 figures

References in corpus (2)

• Alternating sign matrices and domino tilings
• A new simple proof of the Aztec diamond theorem