Abstract
It is a known fact that the Wiener index (i.e. the sum of all distances between pairs of vertices in a graph) of a tree with an odd number of vertices is always even. In this paper, we consider the distribution of the Wiener index and the related tree parameter "internal path length" modulo 2 by means of a generating functions approach as well as by constructing bijections for plane trees.
Original language | English |
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Pages (from-to) | 996-1004 |
Number of pages | 9 |
Journal | European Journal of Combinatorics |
Volume | 30 |
Issue number | 4 |
DOIs | |
State | Published - May 2009 |