English

Distance ideals of graphs

Combinatorics 2018-04-13 v2

Abstract

We introduce the concept of distance ideals of graphs, which can be regarded as a generalization of the Smith normal form and the spectra of the distance matrix of a graph. We obtain a classification of the graphs with at most one trivial distance ideal.

Keywords

Cite

@article{arxiv.1709.10178,
  title  = {Distance ideals of graphs},
  author = {Carlos A. Alfaro and Libby Taylor},
  journal= {arXiv preprint arXiv:1709.10178},
  year   = {2018}
}

Comments

17 pages

R2 v1 2026-06-22T21:58:20.932Z