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arXiv · 1102.5409

The Wiener Index of Unicyclic Graphs with Girth and the Matching Number

Ya-Hong Chen·Xiao-Dong Zhang
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Abstract

In this paper, we investigate how the Wiener index of unicyclic graphs varies with graph operations. These results are used to present a sharp lower bound for the Wiener index of unicyclic graphs of order $n$ with girth and the matching number $β\ge \frac{3g}{2}$. Moreover, we characterize all extremal graphs which attain the lower bound.

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Ya-Hong Chen, Xiao-Dong Zhang. 2011-02-26. The Wiener Index of Unicyclic Graphs with Girth and the Matching Number. https://arxiv.org/abs/1102.5409

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