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Published in:
2019 | OriginalPaper | Chapter
A Measure for Quantifying the Topological Structure of Some Networks
Authors : Meryam Zeryouh, Mohamed El Marraki, Mohamed Essalih
Published in: Networked Systems
Publisher: Springer International Publishing
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Abstract
Determining and quantifying the topological structure of networks is an exciting research topic in theoretical network science. For this purpose, a large amount of topological indices have been studied. They function as effective measures for improving the performance of existing networks and designing new robust networks. In this paper, we focus on a distance-based graph invariant named the Terminal Wiener index. We use this measure to analyze the structure of two well-known hierarchical networks: the Dendrimer tree \(\mathcal{T}_{d,h}\) and the Dendrimer graph \(\mathcal{D}_{d,h}\). We also investigate two methods of calculation in order to show that the proposed method reduces the computational complexity of the Terminal Wiener index.