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- W2043392316 abstract "Abstract Asymptotics are obtained for the mean, variance, and higher moments as well as for the distribution of the Wiener index of a random tree from a simply generated family (or, equivalently, a critical Galton–Watson tree). We also establish a joint asymptotic distribution of the Wiener index and the internal path length, as well as asymptotics for the covariance and other mixed moments. The limit laws are described using functionals of a Brownian excursion. The methods include both Aldous' theory of the continuum random tree and analysis of generating functions. © 2003 Wiley Periodicals, Inc. Random Struct. Alg., 22: 337–358, 2003" @default.
- W2043392316 created "2016-06-24" @default.
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- W2043392316 date "2003-03-03" @default.
- W2043392316 modified "2023-10-09" @default.
- W2043392316 title "The Wiener Index of simply generated random trees" @default.
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- W2043392316 doi "https://doi.org/10.1002/rsa.10074" @default.
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