The Degree Distribution of Random k-Trees

Details The Degree Distribution of Random k-Trees The Degree Distribution of Random k-Trees

2008-08-01

arxiv.org/abs/0808.0202v1

Computer Science

Discrete Mathematics

Scientific paper

10.1016/j.tcs.2008.10.015

A power law degree distribution is established for a graph evolution model based on the graph class of k-trees. This k-tree-based graph process can be viewed as an idealized model that captures some characteristics of the preferential attachment and copying mechanisms that existing evolving graph processes fail to model due to technical obstacles. The result also serves as a further cautionary note reinforcing the point of view that a power law degree distribution should not be regarded as the only important characteristic of a complex network, as has been previously argued.

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