RECTANGLES

作品数:13被引量:15H指数:2
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相关作者:张加万孙济洲李谭迟学斌梁宇学更多>>
相关机构:天津大学中国科学院大学首都师范大学中国科学院更多>>
相关期刊:《计算机研究与发展》《中学生数学(高中版)》《Advances in Applied Mathematics and Mechanics》《Journal of Computational Mathematics》更多>>
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The Tilings of Deficient Squares by Ribbon <i>L</i>-Tetrominoes Are Diagonally Cracked
《Open Journal of Discrete Mathematics》2017年第3期165-176,共12页Viorel Nitica 
We consider tilings of deficient rectangles by the set T4 of ribbon L-tetro-minoes. A tiling exists if and only if the rectangle is a square of odd side. The missing cell has to be on the main NW-SE diagonal, in an od...
关键词:Tiling DEFICIENT RECTANGLES RIBBON Tetromino 
Tiling Rectangles with Gaps by Ribbon Right Trominoes
《Open Journal of Discrete Mathematics》2017年第2期87-102,共16页Premalatha Junius Viorel Nitica 
We show that the least number of cells (the gap number) one needs to take out from a rectangle with integer sides of length at least 2 in order to be tiled by ribbon right trominoes is less than or equal to 4. If the ...
关键词:TILING RECTANGLES RIBBON Tromino RECTANGLE with GAPS Gap Number COLORING Invariants 
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 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 Tn be the set of ribbon L-shaped n-ominoes for some n≥4 even, and let T+n be Tn with an extra 2 x 2 square. We investigate signed tilings of rectangles by Tn...
关键词:POLYOMINO Replicating Tile L-Shaped Polyomino Skewed L-Shaped Polyomino Signed Tilings Gröbner Basis Tiling Rectangles Coloring Invariants 
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