论文标题
限制颜色$ n $ - 彩色构图
Restricted Color $n$-color Compositions
论文作者
论文摘要
Agarwal在2000年推出了$ n $颜色的作品，随后的大多数研究都集中在限制允许哪些零件上。在这里，我们专注于限制允许的颜色。在三个一般结果之后，给定允许的颜色，禁止的颜色和满足模块化条件的颜色给定的复发公式，我们考虑了几个更具体的条件，建立了直接的公式和连接到其他组合物体。证明是组合的，主要是使用2012年第一名作者引入的斑点瓷砖的概念。
Agarwal introduced $n$-color compositions in 2000 and most subsequent research has focused on restricting which parts are allowed. Here we focus instead on restricting allowed colors. After three general results, giving recurrence formulas for the cases of given allowed colors, given prohibited colors, and colors satisfying modular conditions, we consider several more specific conditions, establishing direct formulas and connections to other combinatorial objects. Proofs are combinatorial, mostly using the notion of spotted tilings introduced by the first named author in 2012.
