High degrees in random recursive trees

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Degrees in $k$-minimal label random recursive trees

This article describes the limiting distribution of the degrees of nodes has been derived for a kind of random tree named k-minimal label random recursive tree, as the size of the tree goes to infinity. The outdegree of the tree is equal to the number of customers in a pyramid marketing agency immediatly alluring

متن کامل

High Degrees of Random Recursive Trees

For n ≥ 1, let Tn be a random recursive tree (RRT) on the vertex set [n] = {1, . . . , n}. Let degTn (v) be the degree of vertex v in Tn, that is, the number of children of v in Tn. Devroye and Lu [6] showed that the maximum degree ∆n of Tn satisfies ∆n/⌊log2 n⌋ → 1 almost surely; Goh and Schmutz [7] showed distributional convergence of ∆n − ⌊log2 n⌋ along suitable subsequences. In this work we...

متن کامل

High degrees in recursive trees

Let Tn be a random recursive tree with vertex set [n] := {1, . . . , n} and edges directed towards the root. Let degn(i) denote the number of children of vertex i ∈ [n] of Tn. Devroye and Lu [1] showed that the maximum degree ∆n of Tn satisfies ∆n/ log2 n→ 1 a.s. Here we study the distribution of the maximum degree and of the number of vertices with near-maximum degree. For any d ∈ Z, let X d =...

متن کامل

Limit distribution of the degrees in scaled attachment random recursive trees

We study the limiting distribution of the degree of a given node in a scaled attachment random recursive tree, a generalized random recursive tree, which is introduced by Devroye et. al (2011). In a scaled attachment random recursive tree, every node $i$ is attached to the node labeled $lfloor iX_i floor$ where $X_0$, $ldots$ , $X_n$ is a sequence of i.i.d. random variables, with support in [0,...

متن کامل

Branches in random recursive k-ary trees

In this paper, using generalized {polya} urn models we find the expected value of the size of a branch in recursive $k$-ary trees. We also find the expectation of the number of nodes of a given outdegree in a branch of such trees.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Random Structures & Algorithms

سال: 2017

ISSN: 1042-9832

DOI: 10.1002/rsa.20753