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Published in: Journal of Applied Mathematics and Computing 1-2/2018

17-10-2016 | Original Research

The minimum Wiener index of unicyclic graphs with a fixed diameter

Author: Shang-wang Tan

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2018

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Abstract

The Wiener index is the sum of distances between all pairs of distinct vertices in a connected graph, which is the oldest topological index related to molecular branching. In the article we characterize the graphs having the minimum Wiener index among all n-vertex unicyclic graphs with a fixed diameter.

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Metadata
Title
The minimum Wiener index of unicyclic graphs with a fixed diameter
Author
Shang-wang Tan
Publication date
17-10-2016
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2018
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-016-1063-2

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