Gutman index - a critical personal account
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 46 (2021), p. 183
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
Classification :
05C07, 05C09, 05C12
Keywords: degree (of vertex), distance (in graph), degree distance (of graph), Gutman index
Keywords: degree (of vertex), distance (in graph), degree distance (of graph), Gutman index
@article{BASS_2021_46_a10,
author = {Ivan Gutman},
title = {Gutman index - a critical personal account},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {183 },
year = {2021},
volume = {46},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2021_46_a10/}
}
Ivan Gutman. Gutman index - a critical personal account. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 46 (2021), p. 183 . http://geodesic.mathdoc.fr/item/BASS_2021_46_a10/