A tiling system for the class of L-convex polyominoes

作者:Brocchi S; Frosini A*; Pinzani R; Rinaldi S
来源:Theoretical Computer Science, 2013, 475: 73-81.
DOI:10.1016/j.tcs.2012.12.033

摘要

A polyomino is said to be L-convex if any two of its cells can be connected by a path entirely contained in the polyomino, and having at most one change of direction. In this paper, answering a problem posed by Castiglione and Vaglica [6], we prove that the class of L-convex polyominoes is tiling recognizable. To reach this goal, first we express the L-convexity constraint in terms of a set of independent properties, then we show that each class of convex polyominoes having one of these properties is tiling recognizable.

  • 出版日期2013-3-4