The extremal values of the Wiener index of a tree with given degree sequence

Details The extremal values of the Wiener index of a tree with given degree sequence The extremal values of the Wiener index of a tree with given degree sequence

2007-09-11

arxiv.org/abs/0709.1679v1

Mathematics

Combinatorics

Scientific paper

The Wiener index of a graph is the sum of the distances between all pairs of vertices, it has been one of the main descriptors that correlate achemical compound's molecular graph with experimentally gathered data regarding the compound's characteristics. The tree that minimizes the Wiener index among trees of given maximal degree was studied. We characterize trees that achieve the maximum and minimum Wiener index, given the number of vertices and the degree sequence.

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