论文标题
超图大惊小怪 - 卡塔兰人数
Hypergraph Fuss-Catalan Numbers
论文作者
论文摘要
加泰罗尼亚州数字$ C_N $是一个非常精心研究的数字序列,作为许多组合问题的答案。这些数字已经研究的两个概括是大惊小怪的 - 卡塔兰数字和加泰罗尼亚高速公路的数字。在本文中,我们研究了这些组合,即超图像 - 卡塔兰数字。我们提供了这些数字的一些组合解释,并描述了它们的生成功能。
The Catalan numbers $C_n$ are an extremely well-studied sequence of numbers that appear as the answer to many combinatorial problems. Two generalizations of these numbers that have been studied are the Fuss-Catalan numbers and the Hypergraph Catalan numbers. In this paper, we study the combination of these, the Hypergraph Fuss-Catalan numbers. We provide some combinatorial interpretations of these numbers, as well as describe their generating function.