English

Distance-critical and distance-redundant graphs

Combinatorics 2024-03-26 v1

Abstract

If a vertex in a graph can be deleted without affecting distances among the other vertices, we shall say it is distance-redundant. Graphs with all, some or no such vertices are discussed. (The latter class was termed distance-critical by Erd\H{o}s and Howorka).

Keywords

Cite

@article{arxiv.2403.16197,
  title  = {Distance-critical and distance-redundant graphs},
  author = {Andrew Steane},
  journal= {arXiv preprint arXiv:2403.16197},
  year   = {2024}
}

Comments

16 pages, 16 figures, 4 tables