Dobrynin, Andrey A.; Mel’nikov, Leonid S. Trees and their quadratic line graphs having the same Wiener index. (English) Zbl 1052.05029 MATCH Commun. Math. Comput. Chem. 50, 145-164 (2004). The Wiener index \(W(G)\) of a graph \(G\) is a topological index and it is defined as the half of the sum of the distances between every pair of vertices of \(G\). The authors find infinite families of chemical trees \(T\) with the property \(W(T)=W(L(L(T)))\), where \(L(G)\) is the line graph of \(G\). Reviewer: Mirko Lepović (Kragujevac) Cited in 1 ReviewCited in 3 Documents MSC: 05C12 Distance in graphs 05C05 Trees Keywords:Wiener index; distances; trees; line graph PDFBibTeX XMLCite \textit{A. A. Dobrynin} and \textit{L. S. Mel'nikov}, MATCH Commun. Math. Comput. Chem. 50, 145--164 (2004; Zbl 1052.05029)