English

The largest graphs with given order and diameter: A simple proof

Combinatorics 2018-11-14 v1

Abstract

A consequence of Ore's classic theorem characterizing the maximal graphs with given order and diameter is a determination of the largest such graphs. We give a very short and simple proof of this smaller result, based on a well-known elementary observation.

Keywords

Cite

@article{arxiv.1811.05314,
  title  = {The largest graphs with given order and diameter: A simple proof},
  author = {Pu Qiao and Xingzhi Zhan},
  journal= {arXiv preprint arXiv:1811.05314},
  year   = {2018}
}
R2 v1 2026-06-23T05:14:01.258Z