Furtula, Boris Odd-vertex-degree trees maximizing Wiener index. (English) Zbl 1299.05084 Kragujevac J. Math. 37, No. 1, 129-134 (2013). Summary: Wiener index is the oldest and one among the most investigated topological indices in mathematical chemistry and in related disciplines. Recently, the Wiener index of odd-vertex-degree (\(T^{\mathrm{odd}}\)) trees has been investigated. In this paper, trees with second, third,…, seventeenth maximal Wiener index are characterized. Cited in 4 Documents MSC: 05C12 Distance in graphs 05C35 Extremal problems in graph theory 05C05 Trees 05C07 Vertex degrees 05C90 Applications of graph theory 05E30 Association schemes, strongly regular graphs 92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.) Keywords:extremality PDFBibTeX XMLCite \textit{B. Furtula}, Kragujevac J. Math. 37, No. 1, 129--134 (2013; Zbl 1299.05084)