%0 Journal Article
%T Corroborating a Modification of the Wiener Index
%A Gutman
%A Ivan
%A £¿erovnik
%A Janez
%J -
%D 2002
%X Sa£¿etak In a recent work [Chem. Phys. Lett. 333 (2001) 319-321] Nikoli£¿, Trinajsti£¿, and Randi£¿ put forward a novel modification mW of the Wiener index. We now show that mW possesses the basic properties required by a topological index to be acceptable as a measure of the extent of branching of the carbon-atom skeleton of the respective molecule (and therefore to be a structure-descriptor, potentially applicable in QSPR and QSAR studies). In particular, if Tn is any n-vertex tree, different from the n-vertex path Pn and the n-vertex star Sn, then mW(Pn) < mW(Tn) < mW(Sn). We also show how the concept of the modified Wiener index can be extended to weighted molecular graphs
%K Wiener index
%K modified Wiener index
%K weighted modified Wiener index
%K branching
%K Chemical graph theory
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=188313