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Conference papers

The Degree Distribution of Thickened Trees

Abstract : We develop a combinatorial structure to serve as model of random real world networks. Starting with plane oriented recursive trees we substitute the nodes by more complex graphs. In such a way we obtain graphs having a global tree-like structure while locally looking clustered. This fits with observations obtained from real-world networks. In particular we show that the resulting graphs are scale-free, that is, the degree distribution has an asymptotic power law.
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Submitted on : Monday, September 7, 2015 - 12:50:59 PM
Last modification on : Wednesday, October 13, 2021 - 7:58:04 PM
Long-term archiving on: : Tuesday, December 8, 2015 - 12:56:53 PM

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Michael Drmota, Bernhard Gittenberger, Alois Panholzer. The Degree Distribution of Thickened Trees. Fifth Colloquium on Mathematics and Computer Science, 2008, Kiel, Germany. pp.149-162, ⟨10.46298/dmtcs.3561⟩. ⟨hal-01194676⟩

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