Abstract
A d-dimensional polycube is a (d-1)-face-connected set of cubes in d dimensions. Fixed polycubes are considered distinct if they differ in shape or orientation. The cube-adjacency graph of a tree polycube is a tree. In this paper we investigate the asymptotic growth rate of d-dimensional tree polycubes, and estimate it at (2. d-3.5). e+. O(1/d).
| Original language | English GB |
|---|---|
| Pages (from-to) | 25-30 |
| Number of pages | 6 |
| Journal | Electronic Notes in Discrete Mathematics |
| Volume | 38 |
| DOIs | |
| State | Published - 1 Dec 2011 |
Keywords
- Lattice animals
- Polyominoes
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics
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