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arxiv: 0910.3639 · v1 · submitted 2009-10-19 · 🧮 math.CO

The connectivity-profile of random increasing k-trees

classification 🧮 math.CO
keywords connectivity-profileincreasinginterestingk-treesrandomanalytic-combinatorialappliedasymptotic
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Random increasing k-trees represent an interesting, useful class of strongly dependent graphs for which analytic-combinatorial tools can be successfully applied. We study in this paper a notion called connectivity-profile and derive asymptotic estimates for it; some interesting consequences will also be given.

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