Sign In

Communications of the ACM

Communications of the ACM

An insertion algorithm for a minimal internal path length binary search tree

This paper presents an insertion algorithm for maintaining a binary search tree with minimal internal path length. The insertion algorithm maintains minimal internal path length by displacing keys when necessary, in an inorder fashion, until a vacant position is found in the last incomplete level of the tree. The algorithm produces trees that are optimal for searching while exhibiting a runtime behavior that is between logarithmic and linear in the number of nodes in the tree, with linear time being its worst-case behavior.

The full text of this article is premium content


No entries found

Log in to Read the Full Article

Sign In

Sign in using your ACM Web Account username and password to access premium content if you are an ACM member, Communications subscriber or Digital Library subscriber.

Need Access?

Please select one of the options below for access to premium content and features.

Create a Web Account

If you are already an ACM member, Communications subscriber, or Digital Library subscriber, please set up a web account to access premium content on this site.

Join the ACM

Become a member to take full advantage of ACM's outstanding computing information resources, networking opportunities, and other benefits.

Subscribe to Communications of the ACM Magazine

Get full access to 50+ years of CACM content and receive the print version of the magazine monthly.

Purchase the Article

Non-members can purchase this article or a copy of the magazine in which it appears.
Sign In for Full Access
» Forgot Password? » Create an ACM Web Account