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  • The Maximum degree of series-parallel graphs 

    Drmota, Michael; Giménez Llach, Omer; Noy Serrano, Marcos (2011-07)
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    We prove that the maximum degree Δn of a random series-parallel graph with n vertices satisfies Δn/ log n → c in probability, and EΔn ∼ c log n for a computable constant c > 0. The same kind of result holds for 2-connected ...