Convex n-ominoes
نویسندگان
چکیده
منابع مشابه
Signed tilings by ribbon L n-ominoes, n even, via Gröbner bases
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 × 2 square. We investigate signed tilings of rectangles by Tn and T + n . We show that a rectangle has a signed tiling by Tn if and only if both sides of the rectangle are even and one of them is divisible by n, or if one of the sides is odd and the other side is divisible by n ( n 2 − 2 ) . ...
متن کاملEvery Tiling of the First Quadrant by Ribbon L n-Ominoes Follows the Rectangular Pattern
Let n 4 ≥ and let n be the set of four ribbon L-shaped n-ominoes. We study tiling problems for regions in a square lattice by n . Our main result shows a remarkable property of this set of tiles: any tiling of the first quadrant by n , n even, reduces to a tiling by n 2× and n 2 × rectangles, each rectangle being covered by two ribbon L-shaped n-ominoes. An application of our result is th...
متن کاملRigid Tilings of Quadrants by L-Shaped n-ominoes and Notched Rectangles
In this paper, we examine rigid tilings of the four quadrants in a Cartesian coordinate system by tiling sets consisting of L-shaped polyominoes and notched rectangles. The first tiling sets we consider consist of an L-shaped polyomino and a notched rectangle, appearing from the dissection of an n×n square, and of their symmetries about the first diagonal. In this case, a tiling of a quadrant i...
متن کاملInequalities of Ando's Type for $n$-convex Functions
By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class of $n$-convex functions. As an application, main results are applied to some operator means and relative operator entropy.
متن کاملExtending n-Convex Functions
We are given data α1, . . . , αm and a set of points E = {x1, . . . , xm}. In this paper we address the question of conditions ensuring the existence of a function f satisfying the interpolation conditions f(xi) = αi, i = 1, . . . ,m, that is also n-convex on a set properly containing E. We consider both one point extensions of E, and extensions of E to all of IR. We also determine bounds on n-...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1974
ISSN: 0012-365X
DOI: 10.1016/0012-365x(74)90134-4