论文标题
通过图理论以实数序列查找结构:问题列表
Finding Structure in Sequences of Real Numbers via Graph Theory: a Problem List
论文作者
论文摘要
我们研究了一种生成图形$ g =(v,e)$的方法,从$ n $ difstand的实数$ a_1,\ dots,a_n $的订购列表中。这些图可用于测试序列中有趣的结构。我们描述了以这种方式发现的复杂的隐藏结构的序列。我们的列表包括Deutsch,Erdős,Freud&Hegyvari,Rocaman,Quet,Zabolotskiy和Zizka的序列。由于我们的观察结果主要是经验的,因此列表中的每个序列都是一个开放的问题。
We investigate a method of generating a graph $G=(V,E)$ out of an ordered list of $n$ distinct real numbers $a_1, \dots, a_n$. These graphs can be used to test for the presence of interesting structure in the sequence. We describe sequences exhibiting intricate hidden structure that was discovered this way. Our list includes sequences of Deutsch, Erdős, Freud & Hegyvari, Recaman, Quet, Zabolotskiy and Zizka. Since our observations are mostly empirical, each sequence in the list is an open problem.