Finding Structure in Sequences of Real Numbers via Graph Theory: a Problem List
Combinatorics
2022-08-10 v2
Abstract
We investigate a method of generating a graph out of an ordered list of distinct real numbers . 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, Erd\H{o}s, Freud & Hegyvari, Recaman, Quet, Zabolotskiy and Zizka. Since our observations are mostly empirical, each sequence in the list is an open problem.
Cite
@article{arxiv.2012.04625,
title = {Finding Structure in Sequences of Real Numbers via Graph Theory: a Problem List},
author = {Dana G. Korssjoen and Biyao Li and Stefan Steinerberger and Raghavendra Tripathi and Ruimin Zhang},
journal= {arXiv preprint arXiv:2012.04625},
year = {2022}
}