Binary search tree recursions with harmonic toll functions

نویسندگان
چکیده

برای دانلود رایگان 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

On Binary Search Tree Recursions with Monomials as Toll Functions

We consider distributional recursions which appear in the study of random binary search trees with monomials as toll functions. This extends classical parameters as the internal path length in binary search trees. As our main results we derive asymptotic expansions for the moments of the random variables under consideration as well as limit laws and properties of the densities of the limit dist...

متن کامل

Connecting Yule Process, Bisection and Binary Search Tree via Martingales

We present new links between some remarkable martingales found in the study of the Binary Search Tree or of the bisection problem, looking at them on the probability space of a continuous time binary branching process.

متن کامل

Random binary search tree with equal elements

We consider random binary search trees when the input consists of a multiset, i.e. a set with multiple occurrences of equal elements, and prove that the randomized insertion and deletion algorithms produce random search trees regardless of multiplicities; even if all the elements are equal during the tree updates, a search tree will maintain its randomness. Thus, equal elements do not degenerat...

متن کامل

A Randomized Self-Adjusting Binary Search Tree

We present algorithms for a new self-adjusting binary search tree, which we call a shuffle tree. The tree is easy to implement and does not require parent pointers or balancing information to be stored in tree nodes. A maximum of one rotation is probabilistically applied during each traversal, which keeps the cost of balancing activity low. We present tests to compare the performance of shuffle...

متن کامل

Nearest Neighbor Search Using Additive Binary Tree

Classifying an unknown input is a fundamental problem in Pattern Recognition. One standard method is finding its nearest neighbors in a reference set. It would be very time consuming if computed feature by feature for all templates in the reference set; this naı̈ve method is O(nd) where n is the number of templates in the reference set and d is the number of features or dimension. For this reaso...

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: Journal of Computational and Applied Mathematics

سال: 2002

ISSN: 0377-0427

DOI: 10.1016/s0377-0427(01)00469-1