invigorating 发表于 2025-3-21 19:12:23
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Classes of Random Trees,unting problems. In particular we distinguish between rooted and unrooted, plane and non-plane, and labelled and unlabelled trees. It is also possible to modify the counting procedure by putting certain weights on trees, for example, by using the degree distribution.前奏曲 发表于 2025-3-22 13:18:50
Generating Functions,y can be used to encode the distribution of random variables that are related to counting problems and, hence, asymptotic methods can be applied to obtain probabilistic limit theorems like central limit theorems.GRIPE 发表于 2025-3-22 17:21:31
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,The Shape of Galton-Watson Trees and Pólya Trees,.. This is in fact a very natural and general concept of random trees that includes several kinds of combinatorial tree models like binary trees, planted plane trees, labelled rooted trees, etc. (compare with Section 1.2.7).名字 发表于 2025-3-23 05:08:45
The Vertical Profile of Trees,Chapter 4 was devoted to the horizontal profile of certain classes of trees and we have observed that this kind of profile can be approximated by the local time of the Brownian excursion.我正派 发表于 2025-3-23 07:08:26
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