English

On vertex types of graphs

Combinatorics 2017-05-29 v1

Abstract

The vertices of a graph are classified into seven types by J.T. Hedetniemi, S.M. Hedetniemi, S.T. Hedetniemi and T.M. Lewis and they ask the following questions: 1) What is the smallest order nn of a graph having n2n-2 very typical vertices or n2n-2 typical vertices? 2) What is the smallest order of a pantypical graph? We answer these two questions in this paper.

Keywords

Cite

@article{arxiv.1705.09540,
  title  = {On vertex types of graphs},
  author = {Pu Qiao and Xingzhi Zhan},
  journal= {arXiv preprint arXiv:1705.09540},
  year   = {2017}
}
R2 v1 2026-06-22T20:00:00.131Z