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期刊=Open Journal of Discrete Mathematics

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On Tilings of Quadrants and Rectangles and Rectangular Pattern被引量：2: 《Open Journal of Discrete Mathematics》2016年第4期351-371,共21页Viorel Nitica; The problem of tiling rectangles by polyominoes generated large interest. A related one is the problem of tiling parallelograms by twisted polyominoes. Both problems are related with tilings of (skewed) quadrants by p...; 关键词：POLYOMINO L-Shaped Polyomino Skewed L-Shaped Polyomino Tiling Rectangles Tiling Quadrants Tiling Parallelograms Rectangular Pattern for Tiling Quadrants/Rectangles

Signed Tilings by Ribbon L n-Ominoes, n Odd, via Gröbner Bases被引量：1: 《Open Journal of Discrete Mathematics》2016年第4期297-313,共17页Viorel Nitica; We show that a rectangle can be signed tiled by ribbon L n-ominoes, n odd, if and only if it has a side divisible by n. A consequence of our technique, based on the exhibition of an explicit Gröbner basis, is tha...; 关键词：POLYOMINO Replicating Tile L-Shaped Polyomino Skewed L-Shaped Polyomino Signed Tilings Gröbner Basis Coloring Invariants

Signed Tilings by Ribbon L n-Ominoes, n Even, via Gröbner Bases被引量：1: 《Open Journal of Discrete Mathematics》2016年第3期185-206,共22页Kenneth Gill Viorel Nitica; Let T_nbe the set of ribbon L-shaped n-ominoes for some n≥4 even, and let T⁺_n be T_n with an extra 2 x 2 square. We investigate signed tilings of rectangles by T_n...; 关键词：POLYOMINO Replicating Tile L-Shaped Polyomino Skewed L-Shaped Polyomino Signed Tilings Gröbner Basis Tiling Rectangles Coloring Invariants

Every Tiling of the First Quadrant by Ribbon <i>L n</i>-Ominoes Follows the Rectangular Pattern: 《Open Journal of Discrete Mathematics》2015年第2期11-25,共15页Viorel Nitica; Let and let be the set of four ribbon L-shaped n-ominoes. We study tiling problems for regions in a square lattice by . Our main result shows a remarkable property of this set of tiles: any tiling of the first quadran...; 关键词：POLYOMINO Replicating Tile L-Shaped POLYOMINO Skewed L-Shaped POLYOMINO Local Move Property TILING Rectangles RECTANGULAR PATTERN TILING First QUADRANT

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