Gutman index - a critical personal account
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 46 (2021) no. 1
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In the recent literature there are numerous publications
concerned with a graph invariant named ``{ı Gutman index}'' ($\mathit{ZZ}$). In this
paper, some details about the discovery of $\mathit{ZZ}$ are explained. In particular,
it is pointed out that the name for $\mathit{ZZ}$ is a result of negligence, caused by a
sloppy reading of the article in which $\mathit{ZZ}$ was mentioned for the first time.
The main mathematical properties of $\mathit{ZZ}$ are presented. The reasons why $\mathit{ZZ}$ became
popular among scholars doing research in graph theory and mathematical chemistry
are discussed, and the practical applicability of $\mathit{ZZ}$ (which is minor) commented.