Finding Structure in Sequences of Real Numbers via Graph Theory: a Problem List
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 December 2020
 DOI:
 10.48550/arXiv.2012.04625
 arXiv:
 arXiv:2012.04625
 Bibcode:
 2020arXiv201204625K
 Keywords:

 Mathematics  Combinatorics
 EPrint:
 Involve 15 (2022) 251270