Abstract
Akbari et al. [MATCH Commun. Math. Comput. Chem. 84 (2020) 325-334] defined orderenergetic graphs as those graphs whose energy is equal to their order. They observed that complete tripartite graphs \( K_{p,p,6p} \) are orderenergetic for every \( p\geq
1 \), and stated an expectation that these might be the only complete multipartite orderenergetic graphs with at least three parts. In this note we show the existence of infinitely many other families of such graphs with arbitrarily large
number of parts, with \( K_{\underbrace{p,\dots,p}_{10\times}\displaystyle{,40p}} \) being an example of such family with 11 parts.
