Wiener index versus maximum degree in trees

نویسندگان

Miranca Fischermann

Arne Hoffmann

Dieter Rautenbach

László A. Székely

Lutz Volkmann

چکیده

The Wiener index of a graph is the sum of all pairwise distances of vertices of the graph. In this paper we characterize the trees which minimize the Wiener index among all trees of given order and maximum degree and the trees which maximize the Wiener index among all trees of given order that have only vertices of two di erent degrees.

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