English

Complete Multipartite Graphs of Non-QE Class

Combinatorics 2023-11-09 v2

Abstract

We derive a formula for the QE constant of a complete multipartite graph and determine the complete multipartite graphs of non-QE class, namely, those which do not admit quadratic embeddings in a Euclidean space. Moreover, the primary non-QE graphs are specified among the complete multipartite graphs.

Keywords

Cite

@article{arxiv.2206.05848,
  title  = {Complete Multipartite Graphs of Non-QE Class},
  author = {Nobuaki Obata},
  journal= {arXiv preprint arXiv:2206.05848},
  year   = {2023}
}

Comments

19 pages, 7 figures

R2 v1 2026-06-24T11:48:15.205Z