A note on the independence number, domination number and related parameters of random binary search trees and random recursive trees
نویسندگان
چکیده
We identify the mean growth of independence number random binary search trees and recursive show normal fluctuations around their means. Similarly we also limit laws for domination variations it these two cases tree models. Our results are an application a recent general theorem Holmgren Janson on fringe in
منابع مشابه
Profile and Height of Random Binary Search Trees
The purpose of this article is to survey recent results on distributional properties of random binary search trees. In particular we consider the profile and the height.
متن کاملEdge 2-rainbow domination number and annihilation number in trees
A edge 2-rainbow dominating function (E2RDF) of a graph G is a function f from the edge set E(G) to the set of all subsets of the set {1,2} such that for any edge.......................
متن کاملBranches 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 کاملOuter independent Roman domination number of trees
A Roman dominating function (RDF) on a graph G=(V,E) is a function f : V → {0, 1, 2} such that every vertex u for which f(u)=0 is adjacent to at least one vertex v for which f(v)=2. An RDF f is calledan outer independent Roman dominating function (OIRDF) if the set ofvertices assigned a 0 under f is an independent set. The weight of anOIRDF is the sum of its function values over ...
متن کاملA Note on the Horton-Strahler Number for Random Trees
We consider the Horton-Strahler number S, for random equiprobable binary trees with n nodes. We give a simple probabilistic proof of the well-known result that ES, = log,n + O(1) and show that for every x > 0, P{ 1 S, log,n ( > x} Q D/4x, for some constant D > 0.
متن کاملذخیره 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: Discrete Applied Mathematics
سال: 2021
ISSN: ['1872-6771', '0166-218X']
DOI: https://doi.org/10.1016/j.dam.2020.12.013