English

Arithmetical Structures on Paths With a Doubled Edge

Combinatorics 2019-03-05 v1 Number Theory

Abstract

An arithmetical structure on a graph is given by a labeling of the vertices which satisfies certain divisibility properties. In this note, we look at several families of graphs and attempt to give counts on the number of arithmetical structures for graphs in these families.

Keywords

Cite

@article{arxiv.1903.01398,
  title  = {Arithmetical Structures on Paths With a Doubled Edge},
  author = {Darren Glass and Joshua Wagner},
  journal= {arXiv preprint arXiv:1903.01398},
  year   = {2019}
}
R2 v1 2026-06-23T07:57:49.866Z