English

Graph Labeling with Distance Conditions and the Delta Squared Conjecture

Combinatorics 2013-11-08 v3

Abstract

We give bounds on the L(2,1)-labeling number of a simple graph in terms of its order and its maximum degree. We also describe an infinite class of graphs of which the elements have the highest L(2,1)-labeling numbers in terms of their maximum degrees of any known infinite class of graphs.

Keywords

Cite

@article{arxiv.1309.0259,
  title  = {Graph Labeling with Distance Conditions and the Delta Squared Conjecture},
  author = {Cole Franks},
  journal= {arXiv preprint arXiv:1309.0259},
  year   = {2013}
}

Comments

24 pages, 5 figures

R2 v1 2026-06-22T01:18:45.079Z