Abstract:The authors present a solution to the dictionary problem where each subset of size n of an ordered universe is represented by a unique structure, containing a (unique) binary search tree. The structur...The authors present a solution to the dictionary problem where each subset of size n of an ordered universe is represented by a unique structure, containing a (unique) binary search tree. The structure permits the execution of search, insert, and delete operations in O(n/sup 1/3/) time in the worst case. They also give a general lower bound, stating that for any unique representation of a set in a graph of, bounded outdegree, one of the operations search or update must require a cost of Omega (n/sup 1/3/) Therefore, the result sheds new light on previously claimed lower bounds for unique binary search tree representations.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>Read More
Publication Year: 2002
Publication Date: 2002-12-09
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 14
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot