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- W4293875451 abstract "We introduce a random graph model based on k-trees, which can be generated by applying a probabilistic preferential attachment rule, but which also has a simple combinatorial description. We carry out a precise distributional analysis of important parameters for the network model such as the degree, the local clustering coefficient and the number of descendants of the nodes and root-to-node distances. We do not only obtain results for random nodes, but in particular we also get a precise description of the behaviour of parameters for the j-th inserted node in a random k-tree of size n, where j = j(n) might grow with n. The approach presented is not restricted to this specific k-tree model, but can also be applied to other evolving k-tree models." @default.
- W4293875451 created "2022-09-01" @default.
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- W4293875451 date "2010-03-01" @default.
- W4293875451 modified "2023-10-03" @default.
- W4293875451 title "Ordered increasing k-trees: Introduction and analysis of a preferential attachment network model" @default.
- W4293875451 doi "https://doi.org/10.48550/arxiv.1003.0320" @default.
- W4293875451 hasPublicationYear "2010" @default.
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