On Counting Constructions and Isomorphism Classes of $I$-Graphs
Combinatorics
2024-12-30 v1
Abstract
We prove a collection of asymptotic density results for several interesting classes of the -graphs. Specifically, we quantify precisely the proportion of -graphs that are generalised Petersen graphs as well as those that are connected. Our results rely on the estimation of sums over tuples satisfying various coprimality conditions along with other techniques from analytic number theory.
Cite
@article{arxiv.2412.19618,
title = {On Counting Constructions and Isomorphism Classes of $I$-Graphs},
author = {Harrison Bohl and Adrian W. Dudek},
journal= {arXiv preprint arXiv:2412.19618},
year = {2024}
}
Comments
18 pages, comments quite welcome!