Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 11, No 2 (2023): Electronic Journal of Graph Theory and Applications

Complete multipartite graphs of non-QE class

Nobuaki Obata (Graduate School of Information Sciences Tohoku University)

Article Info

Publish Date
24 Oct 2023

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 Euclidean spaces. Moreover, we prove that there are exactly four primary non-QE graphs among the complete multipartite graphs.

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Journal Info
Electronic Journal of Graph Theory and Applications (EJGTA)
Website

Abbrev

ejgta

Publisher

Indonesian Combinatorial Society

Subject

Electrical & Electronics Engineering

Description

The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. The journal is published by the Indonesian Combinatorial Society ...