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A Generalization of Aztec Diamond Theorem, Part II
- Publication Year :
- 2013
- Publisher :
- arXiv, 2013.
-
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.<br />Comment: 11 pages and 7 figures
- Subjects :
- Discrete mathematics
010102 general mathematics
Diagonal
0102 computer and information sciences
01 natural sciences
Square lattice
Physics::Geophysics
Theoretical Computer Science
Combinatorics
05A15, 05B45, 05C30
010201 computation theory & mathematics
Dual graph
Lattice (order)
Bijection
FOS: Mathematics
Discrete Mathematics and Combinatorics
Mathematics - Combinatorics
Aztec diamond
Combinatorics (math.CO)
0101 mathematics
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....2b7d79ab26a9f0da11541c51e6b085ff
- Full Text :
- https://doi.org/10.48550/arxiv.1310.1156