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Creators/Authors contains: "Pittel, Boris"

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  1. ; ; (, Annals of Combinatorics)
    Springer (Ed.)
    We call a pair of vertex-disjoint, induced subtrees of a rooted tree twins if they have the same counts of vertices by out-degrees. The likely maximum size of twins in a uniformly random, rooted Cayley tree of size n → ∞ is studied. It is shown that the expected number of twins of √ size (2 + δ) log n · log log n approaches zero, while the expected number √ of twins of size (2 − δ) log n · log log n approaches infinity. 
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  2. ; (, Journal of Combinatorial Theory, Series B)
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